Roto-translational optomechanics

A. Pontin; J. M. H. Gosling; M. Rademacher; M. Toro\v{s}; P. F. Barker

Roto-translational optomechanics

T0 review · 0 major / 6 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The three rotational degrees of freedom of a levitated nanoparticle are intrinsically coupled to its translation through the optomechanical Hamiltonian, and controlling all six together is the route to ground-state cooling, non-classical…

desk verdict A careful, current review that consolidates the roto-translational subfield; the idealizations are flagged and do not undermine the synthesis. read the letter →

arxiv 2507.20905 v1 pith:XO5TQN2I submitted 2025-07-28 quant-ph cond-mat.mes-hall

M. Rademacher , A. Pontin , J. M. H. Gosling , P. F. Barker , M. Toroš This is my paper

classification quant-phcond-mat.mes-hall

keywords levitatedoptomechanicsroto-translationalmotionanisotropicnanoparticlesopticaltweezerslibrationalcoolingcoherentscatteringtorquesensingquantumgroundstate

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This review argues that the three rotational degrees of freedom of a levitated nanoparticle are not a side feature of optical trapping but an intrinsic part of the optomechanical interaction. Starting from the Hamiltonian $H_{\mathrm{opt}}=-\tfrac12 V\epsilon_0 E_{\mathrm{tot}}^{\top}\chi_{\mathrm{lab}}E_{\mathrm{tot}}$, it shows that an anisotropic particle's orientation enters the trapping potential through the lab-frame susceptibility tensor, producing librations, spinning, and compound rotations that are nonlinearly coupled to translation. If the review is right, experiments that track only the center of mass will miss quantitative spectral features and may fail to reach full ground-state cooling, non-classical rotational states, or quantum-limited torque sensing. The review's practical claim is that all six degrees of freedom must be modeled, cooled, and controlled together.

What carries the argument

The load-bearing object is the tensorial optomechanical Hamiltonian $H_{\mathrm{opt}}=-\tfrac12 V\epsilon_0(E_d+E_f)^{\top}\chi_{\mathrm{lab}}(E_d+E_f)$, with $\chi_{\mathrm{lab}}=R\chi R^{\top}$ rotating the body-frame susceptibility into the lab frame. Expanding in the tweezer field $E_d$ and the scattered field $E_f$ generates the gradient potential, deterministic radiation-pressure forces and torques, and stochastic recoil noise; adding gas collisions supplies damping and thermal noise. The particle is treated as a rigid rotor in Euler angles, with inertia, susceptibility, and friction tensors diagonal in one body frame, and the subsequent quantization via the Laplace-Beltrami operator fixes operator ordering and yields the quantum Langevin and stochastic master equations. This single derivation chain carries the paper's argument that rotation and translation are inseparable in levitated optomechanics.

What would settle it

Measure the power spectral density of an optically levitated asymmetric-top nanoparticle at pressures below $10^{-5}$ mbar over a range of trap ellipticities and check for the predicted sidebands at $\omega_\alpha \pm \omega_\gamma$ and $\omega_\beta \pm \omega_\gamma$ and the disappearance of low-frequency features when $\gamma$ becomes trapped; if these rotational signatures are absent while translational spectra match a rotation-free model, the claimed intrinsic roto-translational coupling would be falsified.

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Extended reading notes

Core claim

The central claim is that the rotational and translational motion of an optically levitated anisotropic nanoparticle form a single coupled optomechanical system, described by one Hamiltonian whose gradient term couples particle orientation, position, and field polarization. The review develops a classical Hamiltonian framework with Euler angles and conjugate momenta, derives deterministic and stochastic radiation-pressure forces and torques plus gas-collision terms, and shows that the same structure, after quantization through the Laplace-Beltrami operator, yields quantum Langevin equations and a stochastic master equation. On this basis it argues that distinct particle shapes—prolate rods, oblate disks, and asymmetric tops—show characteristic librational, spinning, and precessing dynamics, and that recent experiments cooling librational motion to occupation $0.04$ with 92% purity demonstrate that rotational degrees of freedom are a viable route to room-temperature quantum optomechanics.

Load-bearing premise

The load-bearing idealization is that the particle is a Rayleigh-regime rigid ellipsoid whose inertia, susceptibility, and friction tensors share one body frame, trapped in a stigmatic Gaussian beam without aberrations; the review itself notes that concave geometries and higher-order field corrections would be needed (Secs. 3.2, 4.1, Appendix C).

Editorial extensions

If this is right

Quantitative comparison with experiments on non-spherical particles requires modeling all six degrees of freedom; rotation affects centre-of-mass spectra even when only translation is measured.
Particle shape can be identified from librational frequencies, translational linewidth ratios, and levitodynamic spectra, resolving size differences of a few nanometres.
Librational motion has been cooled to a mean occupation of $0.04$ (92% purity), making rotations a practical path to room-temperature quantum states of a levitated object.
Spinning nanoparticles offer better torque sensitivity than librating ones, with projected values below $10^{-30}\ \mathrm{N\,m}/\sqrt{\mathrm{Hz}}$ for optimized parameters, approaching the photon-recoil limit where Casimir torques and vacuum friction could be tested.
Full three-dimensional ground-state cooling and preparation of non-classical rotational states are identified as the next milestones, best approached by combining coherent scattering with feedback cooling of different degrees of freedom.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If rotation-translation coupling is as central as argued, then experiments cooling only centre-of-mass modes will eventually hit a rotational heating floor; hybrid cooling schedules that address librations first may reach lower occupations than translation-only protocols.
The same Hamiltonian structure suggests that structured-light traps carrying orbital angular momentum could engineer rotational potentials beyond the polarization torques reviewed here; the review notes transverse orbital-angular-momentum torques but does not fold them into the general framework.
A testable extension would be to include surface-modified photon recoil noise when a spinning nanoparticle is placed near a dielectric surface, since the review's stochastic scattering model assumes free-space mode density; the magnitude of vacuum-friction torque depends sensitively on that correction.
The classical-quantum bridge via symplectic replacement suggests that classical simulations of roto-translational power spectral densities could serve as a quantitative predictor for quantum sideband thermometry in the same parameter regime, a connection the review leaves implicit.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

This is a solid review, not a research advance, and it should be treated as such. The new contribution is the assembly: a single classical-to-quantum framework for all six roto-translational degrees of freedom, with explicit equations and simulation examples for prolate, oblate, and asymmetric-top particles. That consolidation is genuinely useful. The experimental survey is current and includes the 2025 ground-state librational cooling result, and the authors are candid about where the model is idealized.

The main soft spot is the one the stress-test flags: the quantitative predictions rest on co-diagonal susceptibility, inertia, and friction tensors in a single body frame and an aberration-free stigmatic Gaussian beam. That is stated in Eq. (13) and used through Secs. 3.2 and 4.2.3, and the authors do acknowledge in Secs. 3.1.2, 3.2, and Appendix C that concave geometries, misaligned principal axes, and higher-order field corrections will matter. So it is not an omission, but it does mean the 'quantitative agreement' claim is provisional until a targeted test compares the model to a particle with known tensor misalignment or an aberrated trap. I don't think that is fatal; it is the right caveat to tell readers.

The other soft spot is citation self-reliance. Key couplings, the SME form, and the damping model are taken from the authors' own prior papers (Refs. 14, 108, 140, 141, 192). For a review that is not disqualifying, but it does mean a reader cannot fully independently verify the framework from this paper alone. The derivations are mostly sketched, not fully self-contained.

The quantum section is thinner than the classical one, which is fine for a review aimed at experimentalists; just don't send it to a referee expecting a critical edition of the SME.

Who is this for? Groups entering levitated optomechanics or planning 6D cooling experiments. They will get a coherent map of the theory and the experimental landscape. It deserves peer review and likely publication after minor revisions, mostly tightening the caveats.

Net: accept with the caveats I named.

Referee Report

0 major / 6 minor

Summary. This review synthesizes the experimental and theoretical state of roto-translational levitated optomechanics. It constructs a classical stochastic Hamiltonian model for a Rayleigh-regime anisotropic nanoparticle in a stigmatic Gaussian tweezer, including gradient and scattering forces, photon-recoil and gas-collision noises, and then provides a quantum Langevin/stochastic-master-equation counterpart. Simulations for spheres, prolate and oblate ellipsoids, and asymmetric tops illustrate that rotational and translational degrees of freedom are coupled and must be treated together; the second half surveys particle characterization, cooling, sensing, and proposals for quantum control of rotation. The review concludes that full 6D roto-translational control is the relevant target for the field's next milestones.

Significance. If the framework holds, this is a timely and useful reference that unifies a large body of recent work and makes a persuasive case that rotational motion is not a perturbation to levitated optomechanics but an intrinsic part of its dynamics. The derivations are transparent and cross-checked: Eq. (42) recovers the Rayleigh scattering cross-section, and Eq. (68) reproduces the known photon-recoil diffusion matrix for a sphere, which lends credibility to the more general formalism. The review also gives concrete, testable predictions for power spectral densities and trap-frequency scalings (Eq. (107)) and carefully distinguishes demonstrated results (6D cooling in Ref. [14], librational ground-state cooling in Ref. [220]) from proposals. The main quantitative reach is limited by the stated idealizations of co-diagonal tensors and an aberration-free Gaussian beam, but these limitations are acknowledged explicitly in the text.

minor comments (6)

[Sec. 4.4.1 (Eq. (128) and following text)] The high- and low-temperature labels are swapped: the text calls ℏω ≫ k_B T the high-temperature regime and ℏω ≪ k_B T the low-temperature regime, but the subsequent formulas n̄ ≈ k_B T/ℏω and n̄ ≈ exp(−ℏω/k_B T) correspond to the opposite labels. Please correct this.
[Sec. 4.4.2] The sideband-resolved condition is written as ω_m > κ/4; the standard resolved-sideband criterion is ω_m ≫ κ. The strong-coupling condition 4g > κ can then be stated in that context without the nonstandard κ/4 threshold.
[Sec. 3.1.2 and Eq. (19)] The assumptions of co-diagonal susceptibility, inertia, and friction tensors, and of a stigmatic Gaussian beam, are stated as limitations, but the main text would benefit from a short paragraph (or an explicit pointer to Appendix C) explaining how small principal-axis misalignments or astigmatic corrections would shift the predicted librational frequencies and sideband positions relative to the measured linewidths cited in Sec. 4.2.3. This is a clarity request rather than a blocking concern, since the idealizations are already acknowledged.
[Eq. (107) and Table 3] The notation 'a12' should be written as a_1^2, and it would help to state explicitly that a_1 is the transverse intensity asymmetry parameter. It would also be useful to say whether the value a_1 = 1.126 in Table 3 is measured from the tweezer or chosen for the simulations.
[Sec. 3.3] When promoting the classical deterministic scattering terms to operators d̂p^(ds) and d̂π^(ds), operator-ordering ambiguities remain; a sentence specifying the ordering convention (for example, symmetric or Weyl ordering) would avoid ambiguity.
[Throughout] There are numerous typos and inconsistent abbreviations ('psuedo-potential', 'an stigmatic', 'correlationa matrix', 'non-nonlinearities', 'unharnomic', and mixed 'Sect.'/'Sec.' usages) that should be corrected in a final pass.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the roto-translational framework is derived from the stated optomechanical Hamiltonian and standard rigid-body mechanics; self-citations are contextual rather than load-bearing.

full rationale

The paper's central framework is self-contained in the relevant sense: it starts from the optomechanical interaction Hamiltonian H_opt = -(1/2) V ε0 E_tot^T χ_lab E_tot (Eq. 5), expands the field into trapping and scattered parts, and derives the gradient potential, radiation-pressure forces/torques, and stochastic recoil terms through explicit Hamiltonian and input-output steps (Eqs. 17, 21, 33, 38-41, 52-53). The simulations in Sec. 3.2 use physical parameters (Table 3) and geometry-dependent susceptibility/inertia tensors; the analytical trap frequencies in Eq. (107) are a Taylor expansion of the same H_gradient, so their agreement with the numerical PSDs is a consistency check, not a fitted prediction. The paper explicitly acknowledges the simplifying assumptions of co-diagonal tensors in a single body frame and an aberration-free Gaussian beam (Sec. 3.1.2, Appendix C), which are limitations of the model rather than circular inputs. Self-citations do appear, for example 'it has been extended to include rotational DoFs in Refs. [140, 141]' and the SME discussion referencing [192], but these are contextual pointers to the authors' prior work; the review itself re-derives the classical and quantum equations, and the key experimental landmarks cited (e.g., ground-state cooling of libration in Ref. [220]) are independent external results. No equation in the paper reduces by construction to a fitted parameter or to a self-citation, and the central claim that roto-translational motion must be included is supported by the derived Hamiltonian together with independent experiments. Therefore the circularity score is 0.

Assumptions & free parameters 1 free parameters · 7 assumptions · 0 invented entities

The review's central framework rests on standard Hamiltonian and stochastic calculus plus explicitly stated domain assumptions about particle shape, field model, and gas environment; no new particles or forces are introduced. The assumptions are conventional in the field, though the Gaussian beam and diagonal-tensor approximations limit quantitative accuracy.

free parameters (1)

a1, transverse trap asymmetry parameter = 1.126
Set by hand in Table 3 for all simulations; controls the x-y asymmetry of the Gaussian mode and appears in trap-frequency expressions, including Eq. 107. It is not fitted to reproduce a specific target result.

assumptions (7)

domain assumption Rayleigh-regime approximation: particle size is much smaller than the trapping wavelength, so the polarizability can be described by ellipsoidal susceptibility tensors.
Invoked at the start of Sec. 3 and used throughout the derivation of gradient forces, scattering terms, and simulations.
domain assumption Diagonal tensor alignment: susceptibility, moment of inertia, and gas friction tensors are simultaneously diagonal in one body frame.
Stated in Sec. 3.1.2, Eq. 13; the review acknowledges that more general particles would need separate body frames.
domain assumption Stigmatic Gaussian beam model for the tweezer field, with a first-order mode function and later refinements in Appendix C.
Introduced in Eqs. 18 and 19; the review notes aberrations and higher-order corrections can matter.
domain assumption Molecular flow regime for residual gas, with mean free path much larger than the particle size.
Assumed in Sec. 3.1.8 to justify the Langevin friction and noise model for gas collisions.
domain assumption Caldeira-Leggett dissipative model for gas damping and noise.
Used in Secs. 3.1.8 and 3.3 to connect classical damping to quantum dissipators; a simplified model valid at high gas temperature.
domain assumption Photon-recoil noise is neglected in the numerical simulations because gas-collision noise dominates in the considered pressure range.
Stated at the end of Sec. 3.1.7 and used in Sec. 3.2; this limits quantitative accuracy at ultrahigh vacuum.
standard math Canonical quantization via Poisson-bracket replacement and the Laplace-Beltrami operator fixes operator ordering for rotational coordinates.
Used in Sec. 3.3, Eq. 108 to 110, to pass from classical Hamilton equations to quantum Langevin equations.

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Cite this review

Pith. "Pith review of Roto-translational optomechanics." pith.science (2026). https://pith.science/paper/XO5TQN2I

@misc{pith2026250720905,
  author       = {Pith},
  title        = {Pith review of: Roto-translational optomechanics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/XO5TQN2I}},
  note         = {Machine review of arXiv:2507.20905}
}

read the original abstract

Levitated optomechanics, the interaction between light and small levitated objects, is a new macroscopic quantum system that is being used as a testing ground for fundamental physics and for the development of sensors with exquisite sensitivity. The utility of this system, when compared to other quantum optomechanical systems, is its extreme isolation from the environment and, by the relatively few degrees of freedom that a levitated object has. While work in the field has strongly focused on the three translational degrees of freedom of this system, it has become increasingly important to understand the induced rotational motion of levitated objects, particularly in optical trapping fields, but also in magnetic and electric traps. These additional three degrees of freedom, which are intrinsic to levitated systems, offer a new set of optomechanical nonlinear interactions that lead to a rich and yet largely unexplored roto-translational motion. The control and utilization of these interactions promise to extend the utility of levitated optomechanics in both fundamental studies and applications. In this review, we provide an overview of levitated optomechanics, before focusing on the roto-translational motion of optically levitated anisotropic objects. We first present a classical treatment of this induced motion, bridging the gap between classical and quantum formalisms. We describe the different types of roto-translational motion for different particle shapes via their interaction with polarized optical trapping fields. Subsequently, we provide an overview of the theoretical and experimental approaches as well as applications that have established this new field. The review concludes with an outlook of promising experiments and applications, including the creation of non-classical states of roto-translational motion, quantum-limited torque sensing and particle characterization methods.

Figures

Figures reproduced from arXiv: 2507.20905 by the authors.

**Figure 1.** Interactive mind map overview of the main topics covered in this review on roto-translational levitated optomechanics. [PITH_FULL_IMAGE:figures/full_fig_p006_1.png] view at source ↗

**Figure 2.** Illustration of different types of motion in levitated optomechanics. a) [PITH_FULL_IMAGE:figures/full_fig_p009_2.png] view at source ↗

**Figure 3.** Overview of typical levitation platforms used for rotational optomechanics: optical, magnetic, and electric trapping. a) Optical levitation and cavity cooling scheme adapted from Delić et al., [17]. A silica nanoparticle is trapped by a tightly focused optical tweezer (purple) and placed inside a high-finesse optical cavity (gray). The scattering of light from the particle into the cavity mode enables sideband-resol… view at source ↗

Figures from the paper (15 more)

**Figure 4.** Figure 4: Layout of a 2x2 magnetic trap array showing the magnetic fields generated. The red and blue coloring represent the [PITH_FULL_IMAGE:figures/full_fig_p013_4.png]

**Figure 5.** Figure 5: Overview diagram of the theoretical framework. Arrows indicate how key equations and components flow into the [PITH_FULL_IMAGE:figures/full_fig_p022_5.png]

**Figure 6.** Figure 6: Schematics of the different geometries studied in an optical trap using numerical simulations in this work. (a) [PITH_FULL_IMAGE:figures/full_fig_p024_6.png]

**Figure 7.** Figure 7: Flowchart showing how vacuum field fluctuations and input mode amplitudes ( [PITH_FULL_IMAGE:figures/full_fig_p030_7.png]

**Figure 8.** Figure 8: Numerical simulations for a spherical nanoparticle of radius [PITH_FULL_IMAGE:figures/full_fig_p042_8.png]

**Figure 9.** Figure 9: Numerical simulations for a prolate ellipsoidal nanoparticle. a) The geometry considered has [PITH_FULL_IMAGE:figures/full_fig_p043_9.png]

**Figure 10.** Figure 10: Numerical simulations for an oblate ellipsoidal nanoparticle. a) The geometry considered has [PITH_FULL_IMAGE:figures/full_fig_p045_10.png]

**Figure 11.** Figure 11: Numerical simulation for an asymmetric-top nanoparticle. a) The geometry considered is a shell of thickness [PITH_FULL_IMAGE:figures/full_fig_p046_11.png]

**Figure 12.** Figure 12: Effects of particle morphology on light scattering and rotational dynamics of optically levitated nanoparticles. (a–h) Adapted from Rademacher et al., [175]. (a, c, e, g) Normalized vertically polarized light intensity IV /Imax V as a function of λ/2 waveplate angle, …

**Figure 13.** Figure 13: Experimental configurations and rotational motion spectra of optically levitated nanodumbbells. (a–b) Adapted from Bang et al., [109]. (a) Schematic of a five-dimensional cooling configuration. A silica nanodumbbell is levitated using a tightly focused 1064 nm linearl…

**Figure 14.** Figure 14: Coherent scattering cooling of an ellipsoidal nanoparticle Adapted from Pontin et al., [14]. (a) Pictorial view of the experiment and definition of the reference frames. The transformation of coordinates from body to laboratory frame is defined through three Euler ang…

**Figure 15.** Figure 15: Force and torque sensing examples using optically levitated nanoparticles. (a–c) Adapted from [PITH_FULL_IMAGE:figures/full_fig_p061_15.png]

**Figure 16.** Figure 16: Ground-state cooling of translational and rotational degrees of freedom in levitated nanoparticles. (a) Adapted from Delić et al. [17]. Mean phonon occupation n¯x of the translational mode along the cavity axis as a function of cavity detuning ∆. The lowest occupation…

**Figure 17.** Figure 17: Long-axis spinning of a levitated nanodumbbell, adapted from [49]. (a) A dumbbell is trapped at the focus of a linearly polarized optical tweezer (λ = 1550 nm). An auxiliary circularly polarized beam (λ = 1064 nm) is used to apply a controlled torque in the y-z plane.…

**Figure 18.** Figure 18: (a). This demonstrates that the quantum state of a levitated particle can be coherently spread beyond the ground-state width – a clear signature of non-classical motion - with potential applications for quantum-enhanced force sensing [291] [PITH_FULL_IMAGE:figures/fu…

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Simultaneous ground-state cooling of six mechanical modes of two levitated nanoparticles
quant-ph 2026-04 unverdicted novelty 6.0 of 10

Tuning the polarization angle allows simultaneous ground-state cooling of six mechanical modes in a system of two cavity-coupled levitated nanoparticles.
Explaining Optomechanical Libration Spectra: A Stochastic Simulation Approach
physics.comp-ph 2025-09 conditional novelty 6.0 of 10

A stochastic simulation shows that thermal transitions between confined libration and free rotation around the long axis produce the shoulder features in nanodumbbell libration spectra.

Reference graph

Works this paper leans on

298 extracted references · 115 canonical work pages · cited by 2 Pith papers

[14]

Pontin, H

A. Pontin, H. Fu, M. Toroš, T. S. Monteiro, P. F. Barker, Simultaneous cavity cooling of all six degrees of freedom of a levitated nanoparticle, Nature Physics (Apr. 2023).doi:10.1038/ 88 s41567-023-02006-6. URLhttps://doi.org/10.1038/s41567-023-02006-6

work page doi:10.1038/s41567-023-02006-6 2023
[220]

High-purity quantum optomechanics at room temperature

L. Dania, O. S. Kremer, J. Piotrowski, D. Candoli, J. Vijayan, O. Romero-Isart, C. Gonzalez- Ballestero, L. Novotny, M. Frimmer, High-purity quantum optomechanics at room temperature (2024). doi:10.48550/ARXIV.2412.14117. URLhttps://arxiv.org/abs/2412.14117

work page Pith review arXiv doi:10.48550/arxiv.2412.14117 2024
[1]

Barzanjeh, A

S. Barzanjeh, A. Xuereb, S. Gröblacher, M. Paternostro, C. A. Regal, E. M. Weig, Optomechanics for quantum technologies, Nature Physics 18 (1) (2022) 15–24.doi:10.1038/s41567-021-01402-0. URLhttps://doi.org/10.1038/s41567-021-01402-0

doi:10.1038/s41567-021-01402-0 2022
[2]

Gonzalez-Ballestero, M

C. Gonzalez-Ballestero, M. Aspelmeyer, L. Novotny, R. Quidant, O. Romero-Isart, Levitodynamics: Levitation and control of microscopic objects in vacuum, Science 374 (6564) (2021) eabg3027.doi: 10.1126/science.abg3027. URLhttps://doi.org/10.1126/science.abg3027

doi:10.1126/science.abg3027 2021
[3]

Aspelmeyer, T

M. Aspelmeyer, T. J. Kippenberg, F. Marquardt, Cavity optomechanics, Reviews of Modern Physics 86 (4) (2014) 1391. URLhttps://doi.org/10.1103/RevModPhys.86.1391

doi:10.1103/revmodphys.86.1391 2014
[4]

Bowen, G

W. Bowen, G. Milburn, Quantum Optomechanics, Taylor & Francis, 2015. URLhttps://books.google.co.uk/books?id=xqlcrgEACAAJ

2015
[5]

M. Bild, M. Fadel, Y. Yang, U. von Lüpke, P. Martin, A. Bruno, Y. Chu, Schrödinger cat states of a 16- microgram mechanical oscillator, Science 380 (6642) (2023) 274–278.doi:10.1126/science.adf7553. URLhttps://www.science.org/doi/abs/10.1126/science.adf7553 87

doi:10.1126/science.adf7553 2023
[6]

Bagci, A

T. Bagci, A. Simonsen, S. Schmid, L. G. Villanueva, E. Zeuthen, J. Appel, J. M. Taylor, A. Sørensen, K. Usami, A. Schliesser, E. S. Polzik, Optical detection of radio waves through a nanomechanical transducer, Nature 507 (7490) (2014) 81–85.doi:10.1038/nature13029. URLhttps://doi.org/10.1038/nature13029

work page doi:10.1038/nature13029 2014

Show all 298 references

[7]

B.-B. Li, J. Bílek, U. B. Hoff, L. S. Madsen, S. Forstner, V. Prakash, C. Schäfermeier, T. Gehring, W. P. Bowen, U. L. Andersen, Quantum enhanced optomechanical magnetometry, Optica 5 (7) (2018) 850–856.doi:10.1364/OPTICA.5.000850. URLhttps://opg.optica.org/optica/abstract.cfm...

2018 doi
[8]

A. G. Krause, M. Winger, T. D. Blasius, Q. Lin, O. Painter, A high-resolution microchip optomechanical accelerometer, Nature Photonics 6 (11) (2012) 768–772.doi:10.1038/nphoton.2012. 245. URLhttps://doi.org/10.1038/nphoton.2012.245

2012 doi
[9]

URLhttps://doi.org/10.1038/nnano.2012.97

E.Gavartin, P.Verlot, T.J.Kippenberg, Ahybridon-chipoptomechanicaltransducerforultrasensitive force measurements, Nature Nanotechnology 7 (8) (2012) 509–514.doi:10.1038/nnano.2012.97. URLhttps://doi.org/10.1038/nnano.2012.97

2012 doi
[10]

Jiang, C

W. Jiang, C. J. Sarabalis, Y. D. Dahmani, R. N. Patel, F. M. Mayor, T. P. McKenna, R. V. Laer, A. H. Safavi-Naeini, Efficient bidirectional piezo-optomechanical transduction between microwave and optical frequency, Nature Communications 11 (1) (Mar. 2020).doi:10.1038/s41467-02...

2020 doi
[11]

Nunnenkamp, K

A. Nunnenkamp, K. Børkje, S. M. Girvin, Single-photon optomechanics, Phys. Rev. Lett. 107 (2011) 063602.doi:10.1103/PhysRevLett.107.063602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.107.063602

2011 doi
[12]

D. E. Chang, C. Regal, S. Papp, D. Wilson, J. Ye, O. Painter, H. J. Kimble, P. Zoller, Cavity opto- mechanics using an optically levitated nanosphere, Proceedings of the National Academy of Sciences 107 (3) (2010) 1005–1010.doi:10.1073/pnas.0912969107. URLhttps://doi.org/10.10...

2010 doi
[13]

P. F. Barker, Doppler cooling a microsphere, Phys. Rev. Lett. 105 (2010) 073002.doi:10.1103/ PhysRevLett.105.073002. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.105.073002

2010 doi
[15]

Piotrowski, D

J. Piotrowski, D. Windey, J. Vijayan, C. Gonzalez-Ballestero, A. de los Ríos Sommer, N. Meyer, R. Quidant, O. Romero-Isart, R. Reimann, L. Novotny, Simultaneous ground-state cooling of two mechanical modes of a levitated nanoparticle, Nature Physics (Mar. 2023).doi:10.1038/ s4...

2023 doi
[16]

Magrini, P

L. Magrini, P. Rosenzweig, C. Bach, A. Deutschmann-Olek, S. G. Hofer, S. Hong, N. Kiesel, A. Kugi, M.Aspelmeyer, Real-timeoptimalquantumcontrolofmechanicalmotionatroomtemperature, Nature 595 (7867) (2021) 373–377.doi:10.1038/s41586-021-03602-3. URLhttps://doi.org/10.1038/s4158...

2021 doi
[17]

Delić, M

U. Delić, M. Reisenbauer, K. Dare, D. Grass, V. Vuletić, N. Kiesel, M. Aspelmeyer, Cooling of a levitated nanoparticle to the motional quantum ground state, Science 367 (6480) (2020) 892.doi: 10.1126/science.aba3993. URLhttp://science.sciencemag.org/content/367/6480/892.abstract

2020 doi
[18]

B. A. Stickler, K. Hornberger, M. S. Kim, Quantum rotations of nanoparticles, Nature Reviews Physics 3 (8) (2021) 589–597.doi:10.1038/s42254-021-00335-0. URLhttps://doi.org/10.1038/s42254-021-00335-0

2021 doi
[19]

B. A. Stickler, B. Papendell, S. Kuhn, B. Schrinski, J. Millen, M. Arndt, K. Hornberger, Probing macroscopic quantum superpositions with nanorotors, New Journal of Physics 20 (12) (2018) 122001. doi:10.1088/1367-2630/aaece4. URLhttps://doi.org/10.1088/1367-2630/aaece4

2018 doi
[20]

J. S. Pedernales, F. Cosco, M. B. Plenio, Decoherence-free rotational degrees of freedom for quantum applications, Phys. Rev. Lett. 125 (2020) 090501.doi:10.1103/PhysRevLett.125.090501. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.125.090501

2020 doi
[21]

Dziedzic, Optical levitation by radiation pressure, Applied Physics Letters 19 (8) (1971) 283–285

J. Dziedzic, Optical levitation by radiation pressure, Applied Physics Letters 19 (8) (1971) 283–285. doi:10.1063/1.1653919. URLhttps://doi.org/10.1063/1.1653919

1971 doi
[22]

Ashkin, J

A. Ashkin, J. M. Dziedzic, Optical levitation of liquid drops by radiation pressure, Science 187 (4181) (1975) 1073–1075.doi:10.1126/science.187.4181.1073. URLhttps://www.science.org/doi/abs/10.1126/science.187.4181.1073 89

1975
[23]

R. F. Wuerker, H. Shelton, R. V. Langmuir, Electrodynamic Containment of Charged Particles, Journal of Applied Physics 30 (3) (2004) 342–349.arXiv:https://pubs.aip.org/aip/jap/ article-pdf/30/3/342/7926269/342\_1\_online.pdf,doi:10.1063/1.1735165. URLhttps://doi.org/10.1063/1.1735165

2004 doi
[24]

W. A. Prothero, J. M. Goodkind, A superconducting gravimeter, Review of Scientific Instruments 39 (9) (1968) 1257–1262.doi:10.1063/1.1683645. URLhttps://doi.org/10.1063/1.1683645

1968 doi
[25]

Bateman, S

J. Bateman, S. Nimmrichter, K. Hornberger, H. Ulbricht, Near-field interferometry of a free-falling nanoparticle from a point-like source, Nature communications 5 (1) (2014) 1–5

2014
[26]

Arndt, K

M. Arndt, K. Hornberger, Testing the limits of quantum mechanical superpositions, Nature Physics 10 (4) (2014) 271–277.doi:10.1038/nphys2863. URLhttps://doi.org/10.1038/nphys2863

2014 doi
[27]

D. C. Moore, A. A. Geraci, Searching for new physics using optically levitated sensors, Quantum Science and Technology 6 (1) (2021) 014008.doi:10.1088/2058-9565/abcf8a. URLhttps://doi.org/10.1088/2058-9565/abcf8a

2021 doi
[28]

S. Bose, A. Mazumdar, G. W. Morley, H. Ulbricht, M. Toroš, M. Paternostro, A. A. Geraci, P. F. Barker, M. Kim, G. Milburn, Spin entanglement witness for quantum gravity, Physical Review Letters 119 (24) (2017) 240401. URLhttps://doi.org/10.1103/PhysRevLett.119.240401

2017 doi
[29]

Y. Jin, K. Shen, P. Ju, T. Li, Towards real-world applications of levitated optomechanics, arXiv preprint arXiv:2407.12496 (2024)

2024 arXiv
[30]

URLhttp://dx.doi.org/10.1038/nnano.2013.208

O.M.Maragò, P.H.Jones, P.G.Gucciardi, G.Volpe, A.C.Ferrari, Opticaltrappingandmanipulation of nanostructures, Nature Nanotechnology 8 (11) (2013) 807–819.doi:10.1038/nnano.2013.208. URLhttp://dx.doi.org/10.1038/nnano.2013.208

2013 doi
[31]

Q. Ying, C. Li, C. He, T. Liang, Y. Shi, H. Hu, Single bioaerosol characterizations based on optical tweezers, APL Photonics 9 (12) (2024) 120901.doi:10.1063/5.0223105. URLhttps://doi.org/10.1063/5.0223105

2024 doi
[32]

Millen, T

J. Millen, T. S. Monteiro, R. Pettit, A. N. Vamivakas, Optomechanics with levitated particles, Reports on Progress in Physics 83 (2) (2020) 026401. URLhttps://doi.org/10.1088/1361-6633/ab6100 90

2020 doi
[33]

A. D. Cronin, J. Schmiedmayer, D. E. Pritchard, Optics and interferometry with atoms and molecules, Rev. Mod. Phys. 81 (2009) 1051–1129.doi:10.1103/RevModPhys.81.1051. URLhttps://link.aps.org/doi/10.1103/RevModPhys.81.1051

2009 doi
[34]

Winstone, A

G. Winstone, A. Grinin, M. Bhattacharya, A. A. Geraci, T. Li, P. J. Pauzauskie, N. Vamivakas, Optomechanics of optically-levitated particles: A tutorial and perspective (2024).arXiv:2307.11858. URLhttps://arxiv.org/abs/2307.11858

2024 arXiv
[35]

S. Bose, I. Fuentes, A. A. Geraci, S. M. Khan, S. Qvarfort, M. Rademacher, M. Rashid, M. Toroš, H. Ulbricht, C. C. Wanjura, Massive quantum systems as interfaces of quantum mechanics and gravity, Reviews of Modern Physics 97 (1) (Feb. 2025).doi:10.1103/revmodphys.97.015003. UR...

2025 doi
[36]

Rademacher, J

M. Rademacher, J. Millen, Y. L. Li, Quantum sensing with nanoparticles for gravimetry: when bigger is better, Advanced Optical Technologies 9 (5) (2020) 227–239. URLhttps://doi.org/10.1515/aot-2020-0019

2020 doi
[37]

Belenchia, M

A. Belenchia, M. Carlesso, Ömer Bayraktar, D. Dequal, I. Derkach, G. Gasbarri, W. Herr, Y. L. Li, M. Rademacher, J. Sidhu, D. K. Oi, S. T. Seidel, R. Kaltenbaek, C. Marquardt, H. Ulbricht, V. C. Usenko, L. Wörner, A. Xuereb, M. Paternostro, A. Bassi, Quantum physics in space, ...

2022 doi
[38]

Kilian, M

E. Kilian, M. Rademacher, J. M. H. Gosling, J. H. Iacoponi, F. Alder, M. Toroš, A. Pontin, C. Ghag, S. Bose, T. S. Monteiro, P. F. Barker, Dark matter searches with levitated sensors, AVS Quantum Science 6 (3) (2024) 030503.arXiv:https://pubs.aip.org/avs/aqs/article-pdf/doi/10...

2024 doi
[39]

Gieseler, J

J. Gieseler, J. Millen, Levitated nanoparticles for microscopic thermodynamics—a review, Entropy 20 (5) (2018) 326.doi:10.3390/e20050326. URLhttps://doi.org/10.3390/e20050326

2018 doi
[40]

Carney, G

D. Carney, G. Krnjaic, D. C. Moore, C. A. Regal, G. Afek, S. Bhave, B. Brubaker, T. Corbitt, J. Cripe, N. Crisosto, A. Geraci, S. Ghosh, J. G. E. Harris, A. Hook, E. W. Kolb, J. Kunjummen, R. F. Lang, T. Li, T. Lin, Z. Liu, J. Lykken, L. Magrini, J. Manley, N. Matsumoto, A. Mo...

2021
[41]

M. E. J. Friese, T. A. Nieminen, N. R. Heckenberg, H. Rubinsztein-Dunlop, Optical alignment and spinning of laser-trapped microscopic particles, Nature 394 (6691) (1998) 348–350.doi:10.1038/ 28566. URLhttps://doi.org/10.1038/28566

1998 doi
[42]

Lipfert, J

J. Lipfert, J. W. J. Kerssemakers, T. Jager, N. H. Dekker, Magnetic torque tweezers: measuring torsional stiffness in dna and reca-dna filaments, Nature Methods 7 (12) (2010) 977–980.doi:10. 1038/nmeth.1520. URLhttp://dx.doi.org/10.1038/nmeth.1520

2010 doi
[43]

D. Fan, F. Zhu, R. Cammarata, C. Chien, Electric tweezers, Nano Today 6 (4) (2011) 339–354. doi:10.1016/j.nantod.2011.05.003. URLhttp://dx.doi.org/10.1016/j.nantod.2011.05.003

2011 doi
[44]

Arita, M

Y. Arita, M. Mazilu, K. Dholakia, Laser-induced rotation and cooling of a trapped microgyroscope in vacuum, Nature communications 4 (2013) 2374.doi:10.1038/ncomms3374. URLhttps://doi.org/10.1038/ncomms3374

2013 doi
[45]

Y. Jin, J. Yan, S. J. Rahman, J. Li, X. Yu, J. Zhang, 6 ghz hyperfast rotation of an optically levitated nanoparticle in vacuum, Photonics Research 9 (7) (2021) 1344–1350

2021
[46]

Reimann, M

R. Reimann, M. Doderer, E. Hebestreit, R. Diehl, M. Frimmer, D. Windey, F. Tebbenjohanns, L. Novotny, Ghz rotation of an optically trapped nanoparticle in vacuum, Physical review letters 121 (3) (2018) 033602

2018
[47]

J. Ahn, Z. Xu, J. Bang, P. Ju, X. Gao, T. Li, Ultrasensitive torque detection with an optically levitated nanorotor, Nature Nanotechnology 15 (2) (2020) 89–93.doi:10.1038/s41565-019-0605-9. URLhttp://dx.doi.org/10.1038/s41565-019-0605-9

2020 doi
[48]

Monteiro, S

F. Monteiro, S. Ghosh, E. C. van Assendelft, D. C. Moore, Optical rotation of levitated spheres in high vacuum, Phys. Rev. A 97 (2018) 051802.doi:10.1103/PhysRevA.97.051802. URLhttps://link.aps.org/doi/10.1103/PhysRevA.97.051802

2018 doi
[49]

J. A. Zielińska, F. van der Laan, A. Norrman, R. Reimann, M. Frimmer, L. Novotny, Long-axis spinning of an optically levitated particle: A levitated spinning top, Physical Review Letters 132 (25) (Jun. 2024).doi:10.1103/physrevlett.132.253601. URLhttp://dx.doi.org/10.1103/Phys...

2024 doi
[50]

T. M. Hoang, Y. Ma, J. Ahn, J. Bang, F. Robicheaux, Z.-Q. Yin, T. Li, Torsional optomechanics of a levitated nonspherical nanoparticle, Physical review letters 117 (12) (2016) 123604.doi:10.1103/ PhysRevLett.117.123604. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.117.123604

2016 doi
[51]

S. Kuhn, P. Asenbaum, A. Kosloff, M. Sclafani, B. A. Stickler, S. Nimmrichter, K. Hornberger, O. Cheshnovsky, F. Patolsky, M. Arndt, Cavity-assisted manipulation of freely rotating silicon nanorods in high vacuum, Nano letters 15 (8) (2015) 5604–5608.doi:10.1021/acs.nanolett. ...

2015 doi
[52]

Rashid, M

M. Rashid, M. Toroš, A. Setter, H. Ulbricht, Precession motion in levitated optomechanics, Phys. Rev. Lett. 121 (2018) 253601.doi:10.1103/PhysRevLett.121.253601. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.121.253601

2018 doi
[53]

X. Chen, T. de Lint, F. Alijani, P. G. Steeneken, Nonlinear dynamics of diamagnetically levitating resonators, Nonlinear Dynamics 112 (21) (2024) 18807–18816.doi:10.1007/s11071-024-10018-x. URLhttps://doi.org/10.1007/s11071-024-10018-x

2024 doi
[54]

Dania, D

L. Dania, D. S. Bykov, M. Knoll, P. Mestres, T. E. Northup, Optical and electrical feedback cooling of a silica nanoparticle levitated in a paul trap, Phys. Rev. Res. 3 (2021) 013018.doi:10.1103/ PhysRevResearch.3.013018. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.3.013018

2021 doi
[55]

Gieseler, B

J. Gieseler, B. Deutsch, R. Quidant, L. Novotny, Subkelvin parametric feedback cooling of a laser- trapped nanoparticle, Physical review letters 109 (10) (2012) 103603

2012
[56]

A. T. M. A. Rahman, P. F. Barker, Laser refrigeration, alignment and rotation of levitated yb3+:ylf nanocrystals, Nature Photonics 11 (10) (2017) 634–638.doi:10.1038/s41566-017-0005-3. URLhttp://dx.doi.org/10.1038/s41566-017-0005-3

2017 doi
[57]

D. C. Moore, A. D. Rider, G. Gratta, Search for millicharged particles using optically levitated microspheres, Physical review letters 113 (25) (2014) 251801

2014
[58]

Monteiro, G

F. Monteiro, G. Afek, D. Carney, G. Krnjaic, J. Wang, D. C. Moore, Search for composite dark matter with optically levitated sensors, Phys. Rev. Lett. 125 (2020) 181102.doi:10.1103/PhysRevLett.125. 181102. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.125.181102 93

2020 doi
[59]

Arita, G

Y. Arita, G. D. Bruce, E. M. Wright, S. H. Simpson, P. Zemánek, K. Dholakia, All-optical sub- kelvin sympathetic cooling of a levitated microsphere in vacuum, Optica 9 (9) (2022) 1000–1002. doi:10.1364/OPTICA.466337. URLhttps://opg.optica.org/optica/abstract.cfm?URI=optica-9-9-1000

2022 doi
[60]

S. Kuhn, B. A. Stickler, A. Kosloff, F. Patolsky, K. Hornberger, M. Arndt, J. Millen, Optically driven ultra-stable nanomechanical rotor, Nature communications 8 (1) (2017) 1670.doi:10.1038/ s41467-017-01902-9. URLhttps://doi.org/10.1038/s41467-017-01902-9

2017 doi
[61]

Winstone, Z

G. Winstone, Z. Wang, S. Klomp, R. G. Felsted, A. Laeuger, C. Gupta, D. Grass, N. Aggarwal, J. Sprague, P. J. Pauzauskie, S. L. Larson, V. Kalogera, A. A. Geraci, Optical trapping of high- aspect-ratio nayf hexagonal prisms for khz-mhz gravitational wave detectors, Physical Re...

2022 doi
[62]

Y. Hu, J. J. Kingsley-Smith, M. Nikkhou, J. A. Sabin, F. J. Rodríguez-Fortuño, X. Xu, J. Millen, Structured transverse orbital angular momentum probed by a levitated optomechanical sensor, Nature Communications 14 (1) (May 2023).doi:10.1038/s41467-023-38261-7. URLhttp://dx.doi...

2023 doi
[63]

Ranjit, M

G. Ranjit, M. Cunningham, K. Casey, A. A. Geraci, Zeptonewton force sensing with nanospheres in an optical lattice, Physical Review A 93 (5) (2016) 053801.doi:10.1103/PhysRevA.93.053801. URLhttps://link.aps.org/doi/10.1103/PhysRevA.93.053801

2016 doi
[64]

Kamba, H

M. Kamba, H. Kiuchi, T. Yotsuya, K. Aikawa, Recoil-limited feedback cooling of single nanoparticles near the ground state in an optical lattice, Physical Review A 103 (5) (2021) L051701

2021
[65]

Vovrosh, M

J. Vovrosh, M. Rashid, D. Hempston, J. Bateman, M. Paternostro, H. Ulbricht, Parametric feedback cooling of levitated optomechanics in a parabolic mirror trap, Journal of the Optical Society of America B 34 (7) (2017) 1421.doi:10.1364/josab.34.001421. URLhttps://doi.org/10.136...

2017 doi
[66]

Dawson, J

C. Dawson, J. Bateman, Spectral analysis and parameter estimation in levitated optomechanics, J. Opt. Soc. Am. B 36 (6) (2019) 1565–1573.doi:10.1364/JOSAB.36.001565. URLhttps://opg.optica.org/josab/abstract.cfm?URI=josab-36-6-1565

2019 doi
[67]

Laplane, P

C. Laplane, P. Ren, R. P. Roberts, Y. Lu, T. Volz, Inert shell coating for enhanced laser refrigeration of nanoparticles: Application in levitated optomechanics, ACS Photonics 11 (3) (2024) 963–968.arXiv: 94 https://doi.org/10.1021/acsphotonics.3c01065,doi:10.1021/acsphotonics...

2024 doi
[68]

A. T. M. A. Rahman, A. C. Frangeskou, M. S. Kim, S. Bose, G. W. Morley, P. F. Barker, Burning and graphitization of optically levitated nanodiamonds in vacuum, Scientific Reports 6 (1) (2016) 21633. doi:10.1038/srep21633. URLhttps://doi.org/10.1038/srep21633

2016 doi
[69]

Hebestreit, R

E. Hebestreit, R. Reimann, M. Frimmer, L. Novotny, Measuring the internal temperature of a levitated nanoparticle in high vacuum, Phys. Rev. A 97 (2018) 043803.doi:10.1103/PhysRevA.97.043803. URLhttps://link.aps.org/doi/10.1103/PhysRevA.97.043803

2018 doi
[70]

V. Jain, J. Gieseler, C. Moritz, C. Dellago, R. Quidant, L. Novotny, Direct measurement of photon recoil from a levitated nanoparticle, Physical review letters 116 (24) (2016) 243601.doi:10.1103/ PhysRevLett.116.243601. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.116.243601

2016 doi
[71]

Romagnoli, R

P. Romagnoli, R. Lecamwasam, S. Tian, J. E. Downes, J. Twamley, Controlling the motional quality factor of a diamagnetically levitated graphite plate, Applied Physics Letters 122 (9) (2023) 094102.arXiv:https://pubs.aip.org/aip/apl/article-pdf/doi/10.1063/5.0133242/ 16785737/0...

2023 doi
[72]

X. Chen, A. Keşkekler, F. Alijani, P. G. Steeneken, Rigid body dynamics of diamagnetically levitating graphite resonators, Applied Physics Letters 116 (24) (2020) 243505.arXiv:https://pubs.aip. org/aip/apl/article-pdf/doi/10.1063/5.0009604/16713812/243505\_1\_online.pdf,doi:10...

2020 doi
[73]

S. Tian, K. Jadeja, D. Kim, A. Hodges, G. C. Hermosa, C. Cusicanqui, R. Lecamwasam, J. E. Downes, J. Twamley, Feedback cooling of an insulating high-Q diamagnetically levitated plate, Applied Physics Letters 124 (12) (2024) 124002.arXiv:https://pubs.aip.org/aip/apl/article-pdf...

2024 doi
[74]

C. W. Lewandowski, T. D. Knowles, Z. B. Etienne, B. D’Urso, High-sensitivity accelerometry with a feedback-cooled magnetically levitated microsphere, Phys. Rev. Appl. 15 (2021) 014050.doi:10. 1103/PhysRevApplied.15.014050. URLhttps://link.aps.org/doi/10.1103/PhysRevApplied.15....

2021 doi
[75]

M. C. O’Brien, S. Dunn, J. E. Downes, J. Twamley, Magneto-mechanical trapping of micro- diamonds at low pressures, Applied Physics Letters 114 (5) (2019) 053103.arXiv:https://pubs.aip. org/aip/apl/article-pdf/doi/10.1063/1.5066065/14522530/053103\_1\_online.pdf,doi:10. 1063/1....

2019 doi
[76]

S. G. Elahi, M. Schut, A. Dana, A. Grinin, S. Bose, A. Mazumdar, A. Geraci, Diamagnetic micro-chip traps for levitated nanoparticle entanglement experiments (2024).arXiv:2411.02325. URLhttps://arxiv.org/abs/2411.02325

2024
[77]

Hofer, R

J. Hofer, R. Gross, G. Higgins, H. Huebl, O. F. Kieler, R. Kleiner, D. Koelle, P. Schmidt, J. A. Slater, M. Trupke, K. Uhl, T. Weimann, W. Wieczorek, M. Aspelmeyer, High-qmagnetic levitation and control of superconducting microspheres at millikelvin temperatures, Phys. Rev. Le...

2023 doi
[78]

Vinante, P

A. Vinante, P. Falferi, G. Gasbarri, A. Setter, C. Timberlake, H. Ulbricht, Ultralow mechanical damping with meissner-levitated ferromagnetic microparticles, Phys. Rev. Appl. 13 (2020) 064027. doi:10.1103/PhysRevApplied.13.064027. URLhttps://link.aps.org/doi/10.1103/PhysRevApp...

2020 doi
[79]

Gieseler, A

J. Gieseler, A. Kabcenell, E. Rosenfeld, J. Schaefer, A. Safira, M. J. Schuetz, C. Gonzalez- Ballestero, C. C. Rusconi, O. Romero-Isart, M. D. Lukin, Single-spin magnetomechanics with levitated micromagnets, Physical review letters 124 (16) (2020) 163604

2020
[80]

C.Brown, Y.Wang, M.Namazi, G.Harris, M.Uysal, J.Harris, Characterizationoflevitatedsuperfluid helium drops in high vacuum, arXiv preprint arXiv:2109.05618 (2021)

2021 arXiv
[81]

M.GutierrezLatorre, G.Higgins, A.Paradkar, T.Bauch, W.Wieczorek, Superconductingmicrosphere magnetically levitated in an anharmonic potential with integrated magnetic readout, Phys. Rev. Appl. 19 (2023) 054047.doi:10.1103/PhysRevApplied.19.054047. URLhttps://link.aps.org/doi/1...

2023 doi
[82]

Perdriat, C

M. Perdriat, C. Pellet-Mary, T. Copie, G. Hétet, Planar magnetic paul traps for ferromagnetic particles, Phys. Rev. Res. 5 (2023) L032045.doi:10.1103/PhysRevResearch.5.L032045. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.5.L032045

2023 doi
[83]

Schreckenberg, Z

H. Schreckenberg, Z. E. O. E. Alaoui, G. Gallot, Study on and off axis of levitation induced by a rotating permanent magnet (2025).arXiv:2503.22568. URLhttps://arxiv.org/abs/2503.22568 96

2025 arXiv
[84]

Janse, E

M. Janse, E. van der Bent, M. Laurman, R. Smit, B. Hensen, Characterization of a levitated sub- milligram ferromagnetic cube in a planar alternating-current magnetic paul trap, Applied Physics Letters 125 (14) (2024) 144003.arXiv:https://pubs.aip.org/aip/apl/article-pdf/doi/10...

2024 doi
[85]

Rusconi, V

C. Rusconi, V. Pöchhacker, K. Kustura, J. Cirac, O. Romero-Isart, Quantum spin stabilized magnetic levitation, Physical Review Letters 119 (16) (Oct. 2017).doi:10.1103/physrevlett.119.167202. URLhttps://doi.org/10.1103/physrevlett.119.167202

2017 doi
[86]

Bullier, A

N. Bullier, A. Pontin, P. Barker, Quadratic optomechanical cooling of a cavity-levitated nanosphere, Physical Review Research 3 (3) (2021) L032022

2021
[87]

I. Alda, J. Berthelot, R. A. Rica, R. Quidant, Trapping and manipulation of individual nanoparticles in a planar paul trap, Applied Physics Letters 109 (16) (2016) 163105

2016
[88]

Dania, K

L. Dania, K. Heidegger, D. S. Bykov, G. Cerchiari, G. Araneda, T. E. Northup, Position measurement of a levitated nanoparticle via interference with its mirror image, Phys. Rev. Lett. 129 (2022) 013601. doi:10.1103/PhysRevLett.129.013601. URLhttps://link.aps.org/doi/10.1103/Ph...

2022 doi
[89]

Delord, P

T. Delord, P. Huillery, L. Nicolas, G. Hétet, Spin-cooling of the motion of a trapped diamond, Nature 580 (7801) (2020) 56–59

2020
[90]

Y. Jin, K. Shen, P. Ju, X. Gao, C. Zu, A. J. Grine, T. Li, Quantum control and berry phase of electron spins in rotating levitated diamonds in high vacuum, Nature Communications 15 (1) (2024) 5063. URLhttps://doi.org/10.1038/s41467-024-49175-3

2024 doi
[91]

Perdriat, C

M. Perdriat, C. C. Rusconi, T. Delord, P. Huillery, C. Pellet-Mary, A. Durand, B. A. Stickler, G. Hétet, Rotational locking of charged microparticles in quadrupole ion traps, Phys. Rev. Lett. 133 (2024) 253602.doi:10.1103/PhysRevLett.133.253602. URLhttps://link.aps.org/doi/10....

2024 doi
[92]

D. S. Bykov, L. Dania, F. Goschin, T. E. Northup, 3d sympathetic cooling and detection of levitated nanoparticles, Optica 10 (4) (2023) 438–442

2023
[93]

Penny, A

T. Penny, A. Pontin, P. Barker, Sympathetic cooling and squeezing of two colevitated nanoparticles, Physical Review Research 5 (1) (2023) 013070. 97

2023
[94]

Hopper, P

A. Hopper, P. F. Barker, A levitated atom-nanosphere hybrid quantum system, New Journal of Physics 26 (1) (2024) 013015.doi:10.1088/1367-2630/ad19f6. URLhttps://dx.doi.org/10.1088/1367-2630/ad19f6

2024 doi
[95]

D. S. Bykov, L. Dania, F. Goschin, T. E. Northup, A nanoparticle stored with an atomic ion in a linear paul trap (2024).arXiv:2403.02034

2024
[96]

G. P. Conangla, A. W. Schell, R. A. Rica, R. Quidant, Motion control and optical interrogation of a levitating single nitrogen vacancy in vacuum, Nano Letters 18 (6) (2018) 3956–3961, pMID: 29772171. arXiv:https://doi.org/10.1021/acs.nanolett.8b01414,doi:10.1021/acs.nanolett.8...

2018 doi
[97]

Bonvin, L

E. Bonvin, L. Devaud, M. Rossi, A. Militaru, L. Dania, D. S. Bykov, M. Teller, T. E. Northup, L. Novotny, M. Frimmer, Hybrid paul-optical trap with large optical access for levitated optomechanics (2023).doi:10.48550/ARXIV.2312.10131. URLhttps://arxiv.org/abs/2312.10131

2023 doi arXiv
[98]

Bonvin, L

E. Bonvin, L. Devaud, M. Rossi, A. Militaru, L. Dania, D. S. Bykov, O. Romero-Isart, T. E. Northup, L. Novotny, M. Frimmer, State expansion of a levitated nanoparticle in a dark harmonic potential (2023).arXiv:2312.13111

2023 arXiv
[99]

G. F. M. Tomassi, D. Veldhuizen, B. Melo, D. Candoli, A. Riera-Campeny, O. Romero-Isart, N. Meyer, R. Quidant, Accelerated state expansion of a nanoparticle in a dark inverted potential (2025).arXiv: 2503.20707. URLhttps://arxiv.org/abs/2503.20707

2025 arXiv
[101]

Pontin, N

A. Pontin, N. Bullier, M. Toroš, P. Barker, Ultranarrow-linewidth levitated nano-oscillator for testing dissipative wave-function collapse, Physical Review Research 2 (2) (2020) 023349. URLhttps://doi.org/10.1103/PhysRevResearch.2.023349

2020 doi
[102]

P. S. Epstein, On the resistance experienced by spheres in their motion through gases, Phys. Rev. 23 (1924) 710–733.doi:10.1103/PhysRev.23.710. URLhttps://link.aps.org/doi/10.1103/PhysRev.23.710 98

1924 doi
[103]

Cavalleri, G

A. Cavalleri, G. Ciani, R. Dolesi, M. Hueller, D. Nicolodi, D. Tombolato, S. Vitale, P. Wass, W. Weber, Gas damping force noise on a macroscopic test body in an infinite gas reservoir, Physics Letters A 374 (34) (2010) 3365–3369.doi:10.1016/j.physleta.2010.06.041. URLhttps://d...

2010 doi
[104]

Gittes, C

F. Gittes, C. F. Schmidt, Interference model for back-focal-plane displacement detection in optical tweezers, Opt. Lett. 23 (1) (1998) 7–9.doi:10.1364/OL.23.000007. URLhttps://opg.optica.org/ol/abstract.cfm?URI=ol-23-1-7

1998 doi
[105]

Tebbenjohanns, M

F. Tebbenjohanns, M. Frimmer, L. Novotny, Optimal position detection of a dipolar scatterer in a focused field, Phys. Rev. A 100 (2019) 043821.doi:10.1103/PhysRevA.100.043821. URLhttps://link.aps.org/doi/10.1103/PhysRevA.100.043821

2019 doi
[106]

Tebbenjohanns, M

F. Tebbenjohanns, M. Frimmer, A. Militaru, V. Jain, L. Novotny, Cold damping of an optically levitated nanoparticle to microkelvin temperatures, Physical review letters 122 (22) (2019) 223601

2019
[107]

Deplano, A

Q. Deplano, A. Pontin, A. Ranfagni, F. Marino, F. Marin, High purity two-dimensional levitated mechanical oscillator, Nature Communications 16 (1) (May 2025).doi:10.1038/ s41467-025-59213-3. URLhttp://dx.doi.org/10.1038/s41467-025-59213-3

2025 doi
[108]

Seberson, F

T. Seberson, F. Robicheaux, Parametric feedback cooling of rigid body nanodumbbells in levitated optomechanics, Phys. Rev. A 99 (2019) 013821.doi:10.1103/PhysRevA.99.013821. URLhttps://link.aps.org/doi/10.1103/PhysRevA.99.013821

2019 doi
[109]

J. Bang, T. Seberson, P. Ju, J. Ahn, Z. Xu, X. Gao, F. Robicheaux, T. Li, Five-dimensional cooling and nonlinear dynamics of an optically levitated nanodumbbell, Phys. Rev. Research 2 (2020) 043054. doi:10.1103/PhysRevResearch.2.043054. URLhttps://link.aps.org/doi/10.1103/Phys...

2020 doi
[110]

Ashkin, J

A. Ashkin, J. M. Dziedzic, Feedback stabilization of optically levitated particles, Applied Physics Letters 30 (4) (1977) 202–204.doi:10.1063/1.89335. URLhttps://doi.org/10.1063/1.89335

1977 doi
[111]

Poggio, C

M. Poggio, C. L. Degen, H. J. Mamin, D. Rugar, Feedback cooling of a cantilever’s fundamental mode below 5 mk, Phys. Rev. Lett. 99 (2007) 017201.doi:10.1103/PhysRevLett.99.017201. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.99.017201

2007 doi
[112]

T. Li, S. Kheifets, M. G. Raizen, Millikelvin cooling of an optically trapped microsphere in vacuum, Nature Physics 7 (7) (2011) 527–530.doi:10.1038/nphys1952. URLhttps://doi.org/10.1038/nphys1952 99

2011 doi
[113]

B. R. Slezak, C. W. Lewandowski, J.-F. Hsu, B. D’Urso, Cooling the motion of a silica microsphere in a magneto-gravitational trap in ultra-high vacuum, New Journal of Physics 20 (6) (2018) 063028. doi:10.1088/1367-2630/aacac1. URLhttps://doi.org/10.1088/1367-2630/aacac1

2018 doi
[114]

Ranjit, D

G. Ranjit, D. P. Atherton, J. H. Stutz, M. Cunningham, A. A. Geraci, Attonewton force detection using microspheres in a dual-beam optical trap in high vacuum, Phys. Rev. A 91 (2015) 051805. doi:10.1103/PhysRevA.91.051805. URLhttps://link.aps.org/doi/10.1103/PhysRevA.91.051805

2015 doi
[115]

Kamba, R

M. Kamba, R. Shimizu, K. Aikawa, Optical cold damping of neutral nanoparticles near the ground state in an optical lattice, Optics Express 30 (15) (2022) 26716.doi:10.1364/oe.462921. URLhttps://doi.org/10.1364/oe.462921

2022 doi
[116]

Tebbenjohanns, M

F. Tebbenjohanns, M. Frimmer, V. Jain, D. Windey, L. Novotny, Motional sideband asymmetry of a nanoparticle optically levitated in free space, Phys. Rev. Lett. 124 (2020) 013603.doi:10.1103/ PhysRevLett.124.013603. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.124.013603

2020 doi
[117]

Tebbenjohanns, M

F. Tebbenjohanns, M. L. Mattana, M. Rossi, M. Frimmer, L. Novotny, Quantum control of a nanoparticle optically levitated in cryogenic free space, Nature 595 (7867) (2021) 378–382

2021
[118]

Kamba, R

M. Kamba, R. Shimizu, K. Aikawa, Nanoscale feedback control of six degrees of freedom of a near- sphere, Nature Communications 14 (1) (Dec. 2023).doi:10.1038/s41467-023-43745-7. URLhttp://dx.doi.org/10.1038/s41467-023-43745-7

2023 doi
[119]

J. M. H. Gosling, A. Pontin, F. Alder, M. Rademacher, T. S. Monteiro, P. F. Barker, Feedback cooling scheme for an optically levitated oscillator with controlled cross-talk (2025).arXiv:2506.17172. URLhttps://arxiv.org/abs/2506.17172

2025
[120]

Ferialdi, A

L. Ferialdi, A. Setter, M. Toroš, C. Timberlake, H. Ulbricht, Optimal control for feedback cooling in cavityless levitated optomechanics, New Journal of Physics 21 (7) (2019) 073019.doi:10.1088/ 1367-2630/ab2b69. URLhttps://doi.org/10.1088/1367-2630/ab2b69

2019 doi
[121]

Setter, M

A. Setter, M. Toroš, J. F. Ralph, H. Ulbricht, Real-time kalman filter: Cooling of an optically levitated nanoparticle, Physical Review A 97 (3) (2018) 033822

2018
[122]

G. P. Conangla, F. Ricci, M. T. Cuairan, A. W. Schell, N. Meyer, R. Quidant, Optimal feedback cooling of a charged levitated nanoparticle with adaptive control, Physical review letters 122 (22) (2019) 223602. 100

2019
[123]

Braginsky, F

V. Braginsky, F. Khalili, K. Thorne, Quantum Measurement, Cambridge University Press, Cambridge, 1992.doi:10.1017/CBO9780511622748. URLhttps://doi.org/10.1017/CBO9780511622748

1992 doi
[124]

Gieseler, J

J. Gieseler, J. R. Gomez-Solano, A. Magazzù, I. Pérez Castillo, L. Pérez García, M. Gironella-Torrent, X. Viader-Godoy, F. Ritort, G. Pesce, A. V. Arzola, K. Volke-Sepúlveda, G. Volpe, Optical tweezers — from calibration to applications: a tutorial, Advances in Optics and Phot...

2021 doi
[125]

van der Laan, F

F. van der Laan, F. Tebbenjohanns, R. Reimann, J. Vijayan, L. Novotny, M. Frimmer, Sub-kelvin feedback cooling and heating dynamics of an optically levitated librator, Physical Review Letters 127 (12) (Sep. 2021).doi:10.1103/physrevlett.127.123605. URLhttp://dx.doi.org/10.1103...

2021 doi
[126]

Gieseler, R

J. Gieseler, R. Quidant, C. Dellago, L. Novotny, Dynamic relaxation of a levitated nanoparticle from a non-equilibrium steady state, Nature Nanotechnology 9 (5) (2014) 358–364.doi:10.1038/nnano. 2014.40. URLhttp://dx.doi.org/10.1038/NNANO.2014.40

2014 doi
[127]

T. W. Penny, A. Pontin, P. F. Barker, Performance and limits of feedback cooling methods for levitated oscillators: A direct comparison, Phys. Rev. A 104 (2021) 023502.doi:10.1103/PhysRevA.104. 023502. URLhttps://link.aps.org/doi/10.1103/PhysRevA.104.023502

2021 doi
[128]

Marquardt, J

F. Marquardt, J. P. Chen, A. A. Clerk, S. M. Girvin, Quantum theory of cavity-assisted sideband cooling of mechanical motion, Phys. Rev. Lett. 99 (2007) 093902.doi:10.1103/PhysRevLett.99. 093902. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.99.093902

2007 doi
[129]

Schliesser, R

A. Schliesser, R. Rivière, G. Anetsberger, O. Arcizet, T. J. Kippenberg, Resolved-sideband cooling of a micromechanical oscillator, Nature Physics 4 (5) (2008) 415–419.doi:10.1038/nphys939. URLhttp://dx.doi.org/10.1038/nphys939

2008 doi
[130]

J. Chan, T. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, O. Painter, Laser cooling of a nanomechanical oscillator into its quantum ground state, Nature 478 (7367) (2011) 89–92. URLhttps://doi.org/10.1038/nature10461 101

2011 doi
[131]

Kiesel, F

N. Kiesel, F. Blaser, U. Delić, D. Grass, R. Kaltenbaek, M. Aspelmeyer, Cavity cooling of an optically levitated submicron particle, Proceedings of the National Academy of Sciences 110 (35) (2013) 14180– 14185.doi:10.1073/pnas.1309167110. URLhttps://doi.org/10.1073/pnas.1309167110

2013 doi
[132]

P. Z. G. Fonseca, E. B. Aranas, J. Millen, T. S. Monteiro, P. F. Barker, Nonlinear dynamics and strong cavity cooling of levitated nanoparticles, Phys. Rev. Lett. 117 (2016) 173602.doi:10.1103/ PhysRevLett.117.173602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.117.173602

2016 doi
[133]

Meyer, A

N. Meyer, A. d. l. R. Sommer, P. Mestres, J. Gieseler, V. Jain, L. Novotny, R. Quidant, Resolved- sideband cooling of a levitated nanoparticle in the presence of laser phase noise, Phys. Rev. Lett. 123 (2019) 153601.doi:10.1103/PhysRevLett.123.153601. URLhttps://link.aps.org/d...

2019 doi
[134]

Vuletić, S

V. Vuletić, S. Chu, Laser cooling of atoms, ions, or molecules by coherent scattering, Phys. Rev. Lett. 84 (2000) 3787–3790.doi:10.1103/PhysRevLett.84.3787. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.84.3787

2000 doi
[135]

A. Kuhn, D. Ljunggren†, Cavity-based single-photon sources, Contemporary Physics 51 (4) (2010) 289–313.doi:10.1080/00107511003602990. URLhttp://dx.doi.org/10.1080/00107511003602990

2010 doi
[136]

Delić, D

U. Delić, D. Grass, M. Reisenbauer, T. Damm, M. Weitz, N. Kiesel, M. Aspelmeyer, Levitated cavity optomechanics in high vacuum, Quantum Science and Technology 5 (2) (2020) 025006

2020
[137]

Toroš, T

M. Toroš, T. S. Monteiro, Quantum sensing and cooling in three-dimensional levitated cavity optomechanics, Phys. Rev. Res. 2 (2020) 023228.doi:10.1103/PhysRevResearch.2.023228. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.2.023228

2020 doi
[139]

Gonzalez-Ballestero, P

C. Gonzalez-Ballestero, P. Maurer, D. Windey, L. Novotny, R. Reimann, O. Romero-Isart, Theory for cavity cooling of levitated nanoparticles via coherent scattering: Master equation approach, Physical Review A 100 (1) (Jul. 2019).doi:10.1103/physreva.100.013805. URLhttps://doi....

2019 doi
[140]

Schäfer, H

J. Schäfer, H. Rudolph, K. Hornberger, B. A. Stickler, Cooling nanorotors by elliptic coherent scattering, Physical Review Letters 126 (16) (2021) 163603. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.126.163603

2021 doi
[141]

Rudolph, J

H. Rudolph, J. Schäfer, B. A. Stickler, K. Hornberger, Theory of nanoparticle cooling by elliptic coherent scattering, Phys. Rev. A 103 (2021) 043514.doi:10.1103/PhysRevA.103.043514. URLhttps://link.aps.org/doi/10.1103/PhysRevA.103.043514

2021 doi
[142]

U. c. v. Delić, M. Reisenbauer, D. Grass, N. Kiesel, V. Vuletić, M. Aspelmeyer, Cavity cooling of a levitated nanosphere by coherent scattering, Phys. Rev. Lett. 122 (2019) 123602.doi:10.1103/ PhysRevLett.122.123602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.122.123602

2019 doi
[143]

Windey, C

D. Windey, C. Gonzalez-Ballestero, P. Maurer, L. Novotny, O. Romero-Isart, R. Reimann, Cavity- based3dcoolingofalevitatednanoparticleviacoherentscattering, Phys.Rev.Lett.122(2019)123601. doi:10.1103/PhysRevLett.122.123601. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.122.123601

2019 doi
[144]

Japha, R

Y. Japha, R. Folman, Quantum uncertainty limit for stern-gerlach interferometry with massive objects, Phys. Rev. Lett. 130 (2023) 113602.doi:10.1103/PhysRevLett.130.113602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.130.113602

2023 doi
[145]

C. Wan, M. Scala, G. W. Morley, A. A. Rahman, H. Ulbricht, J. Bateman, P. F. Barker, S. Bose, M. S. Kim, Free Nano-Object Ramsey Interferometry for Large Quantum Superpositions, Phys. Rev. Lett. 117 (14) (2016) 143003, publisher: American Physical Society.doi:10.1103/PhysRevLe...

2016 doi
[146]

Wachter, S

V. Wachter, S. V. Kusminskiy, G. Hétet, B. A. Stickler, Gyroscopically stabilized quantum spin rotors (2025).arXiv:2504.10339. URLhttps://arxiv.org/abs/2504.10339

2025
[147]

B. D. Wood, S. Bose, G. W. Morley, Spin dynamical decoupling for generating macroscopic superpositions of a free-falling nanodiamond, Phys. Rev. A 105 (2022) 012824.doi:10.1103/ PhysRevA.105.012824. URLhttps://link.aps.org/doi/10.1103/PhysRevA.105.012824

2022 doi
[148]

Perdriat, C

M. Perdriat, C. Pellet-Mary, P. Huillery, L. Rondin, G. Hétet, Spin-mechanics with nitrogen-vacancy centers and trapped particles, Micromachines 12 (6) (2021).doi:10.3390/mi12060651. URLhttps://www.mdpi.com/2072-666X/12/6/651 103

2021 doi
[149]

Delord, L

T. Delord, L. Nicolas, L. Schwab, G. Hétet, Electron spin resonance from nv centers in diamonds levitating in an ion trap, New Journal of Physics 19 (3) (2017) 033031.doi:10.1088/1367-2630/ aa659c. URLhttps://doi.org/10.1088/1367-2630/aa659c

2017 doi
[150]

Delord, P

T. Delord, P. Huillery, L. Schwab, L. Nicolas, L. Lecordier, G. Hétet, Ramsey interferences and spin echoes from electron spins inside a levitating macroscopic particle, Phys. Rev. Lett. 121 (2018) 053602. doi:10.1103/PhysRevLett.121.053602. URLhttps://link.aps.org/doi/10.1103...

2018 doi
[151]

T. M. Hoang, J. Ahn, J. Bang, T. Li, Electron spin control of optically levitated nanodiamonds in vacuum, Nature Communications 7 (1) (2016) 12250.doi:10.1038/ncomms12250. URLhttps://doi.org/10.1038/ncomms12250

2016 doi
[152]

Voisin, A

J. Voisin, A. Durand, T. Copie, M. Perdriat, G. Hétet, Nuclear magnetic resonance with a levitating microparticle, Phys. Rev. Lett. 133 (2024) 213602.doi:10.1103/PhysRevLett.133.213602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.133.213602

2024 doi
[153]

Z.-q. Yin, T. Li, M. Feng, Three-dimensional cooling and detection of a nanosphere with a single cavity, Phys. Rev. A 83 (2011) 013816.doi:10.1103/PhysRevA.83.013816. URLhttps://link.aps.org/doi/10.1103/PhysRevA.83.013816

2011 doi
[154]

D. S. Bykov, L. Dania, F. Goschin, T. E. Northup, A nanoparticle stored with an atomic ion in a linear paul trap (2024).doi:10.48550/ARXIV.2403.02034. URLhttps://arxiv.org/abs/2403.02034

2024 doi
[155]

Toroš, S

M. Toroš, S. Bose, P. F. Barker, Creating atom-nanoparticle quantum superpositions, Phys. Rev. Res. 3 (2021) 033218.doi:10.1103/PhysRevResearch.3.033218. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.3.033218

2021 doi
[156]

Gonzalez-Ballestero, J

C. Gonzalez-Ballestero, J. Zielińska, M. Rossi, A. Militaru, M. Frimmer, L. Novotny, P. Maurer, O. Romero-Isart, Suppressing recoil heating in levitated optomechanics using squeezed light, PRX Quantum 4 (3) (Sep. 2023).doi:10.1103/prxquantum.4.030331. URLhttp://dx.doi.org/10.1...

2023 doi
[157]

Xu, Y.-H

Y. Xu, Y.-H. Liu, C. Liu, J.-Q. Liao, Simultaneous ground-state cooling of two levitated nanoparticles by coherent scattering, Physical Review A 109 (5) (May 2024).doi:10.1103/physreva.109.053521. URLhttp://dx.doi.org/10.1103/PhysRevA.109.053521 104

2024 doi
[158]

Pontin, H

A. Pontin, H. Fu, J. H. Iacoponi, P. F. Barker, T. S. Monteiro, Controlling mode orientations and frequencies in levitated cavity optomechanics, Physical Review Research 5 (1) (Jan. 2023).doi: 10.1103/physrevresearch.5.013013. URLhttp://dx.doi.org/10.1103/PhysRevResearch.5.013013

2023 doi
[159]

M. Hu, N. Li, Z. Fu, J. Yang, Y. Zhang, W. Li, H. Cai, H. Hu, Understanding thermal induced escape mechanism of optically levitated sphere in low vacuum, Optics Communications 546 (2023) 129784. doi:10.1016/j.optcom.2023.129784. URLhttp://dx.doi.org/10.1016/j.optcom.2023.129784

2023
[160]

Y. Jin, K. Shen, P. Ju, T. Li, Towards real-world applications of levitated optomechanics (2024). doi:10.48550/ARXIV.2407.12496. URLhttps://arxiv.org/abs/2407.12496

2024 doi arXiv
[161]

J. D. Jackson, Classical Electrodynamics, 3rd Edition, John Wiley & Sons, Nashville, TN, 1998

1998
[162]

Novotny, B

L. Novotny, B. Hecht, Principles of nano-optics, Cambridge university press, 2012

2012
[163]

L. C. Evans, An introduction to stochastic differential equations, Vol. 82, American Mathematical Soc., 2012

2012
[164]

Goldstein, Classical mechanics, Pearson Education India, 2011

H. Goldstein, Classical mechanics, Pearson Education India, 2011

2011
[165]

V. I. Arnol’d, Mathematical methods of classical mechanics, Vol. 60, Springer Science & Business Media, 2013

2013
[166]

Loudon, The quantum theory of light, OUP Oxford, 2000

R. Loudon, The quantum theory of light, OUP Oxford, 2000

2000
[167]

Gardiner, P

C. Gardiner, P. Zoller, P. Zoller, Quantum noise: a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics, Springer Science & Business Media, 2004

2004
[168]

Seberson, F

T. Seberson, F. Robicheaux, Distribution of laser shot-noise energy delivered to a levitated nanoparticle, Phys. Rev. A 102 (2020) 033505.doi:10.1103/PhysRevA.102.033505. URLhttps://link.aps.org/doi/10.1103/PhysRevA.102.033505

2020 doi
[169]

L. N. Trefethen, D. Bau, Numerical linear algebra, Vol. 181, Siam, 2022

2022
[170]

Cercignani, C

C. Cercignani, C. Cercignani, The boltzmann equation, Springer, 1988

1988
[171]

J. Ahn, Z. Xu, J. Bang, Y.-H. Deng, T. M. Hoang, Q. Han, R.-M. Ma, T. Li, Optically levitated nanodumbbell torsion balance and ghz nanomechanical rotor, Physical review letters 121 (3) (2018) 105 033603.doi:10.1103/PhysRevLett.121.033603. URLhttps://link.aps.org/doi/10.1103/Ph...

2018 doi
[172]

G. Ford, J. Lewis, J. McConnell, Rotational brownian motion of an asymmetric top, Physical Review A 19 (2) (1979) 907.doi:10.1103/PhysRevA.19.907. URLhttps://link.aps.org/doi/10.1103/PhysRevA.19.907

1979 doi
[173]

Caldeira, A

A. Caldeira, A. Leggett, Path integral approach to quantum Brownian motion, Physica A: Statistical Mechanics and its Applications 121 (3) (1983) 587–616.doi:10.1016/0378-4371(83)90013-4. URLhttps://www.sciencedirect.com/science/article/pii/0378437183900134

1983
[174]

C. F. Bohren, D. R. Huffman, Absorption and scattering of light by small particles, John Wiley & Sons, 2008

2008
[175]

Rademacher, J

M. Rademacher, J. Gosling, A. Pontin, M. Toroš, J. T. Mulder, A. J. Houtepen, P. F. Barker, Measurement of single nanoparticle anisotropy by laser induced optical alignment and Rayleigh scattering for determining particle morphology, Applied Physics Letters 121 (22) (2022) 221...

2022 doi
[176]

Gieseler, L

J. Gieseler, L. Novotny, R. Quidant, Thermal nonlinearities in a nanomechanical oscillator, Nature Physics 9 (12) (2013) 806–810.doi:10.1038/nphys2798. URLhttps://doi.org/10.1038

2013 doi
[177]

Zheng, L.-M

Y. Zheng, L.-M. Zhou, Y. Dong, C.-W. Qiu, X.-D. Chen, G.-C. Guo, F.-W. Sun, Robust optical- levitation-based metrology of nanoparticle’s position and mass, Phys. Rev. Lett. 124 (2020) 223603. doi:10.1103/PhysRevLett.124.223603. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.1...

2020 doi
[178]

Flajšmanová, M

J. Flajšmanová, M. Šiler, P. Jedlička, F. Hrubý, O. Brzobohatý, R. Filip, P. Zemánek, Using the transient trajectories of an optically levitated nanoparticle to characterize a stochastic duffing oscillator, Scientific Reports 10 (1) (Sep. 2020).doi:10.1038/s41598-020-70908-z. ...

2020 doi
[179]

Platen, N

E. Platen, N. Bruti-Liberati, Numerical solution of stochastic differential equations with jumps in finance, Vol. 64, Springer Science & Business Media, 2010

2010
[180]

T. Li, S. Kheifets, D. Medellin, M. G. Raizen, Measurement of the instantaneous velocity of a brownian particle, Science 328 (5986) (2010) 1673–1675.doi:10.1126/science.1189403. URLhttps://doi.org/10.1126/science.1189403 106

2010 doi
[181]

Trojek, L

J. Trojek, L. Chvátal, P. Zemánek, Optical alignment and confinement of an ellipsoidal nanorod in optical tweezers: a theoretical study, J. Opt. Soc. Am. A 29 (7) (2012) 1224–1236, publisher: OSA. doi:10.1364/JOSAA.29.001224. URLhttp://josaa.osa.org/abstract.cfm?URI=josaa-29-7-1224

2012 doi
[182]

van der Laan, R

F. van der Laan, R. Reimann, A. Militaru, F. Tebbenjohanns, D. Windey, M. Frimmer, L. Novotny, Optically levitated rotor at its thermal limit of frequency stability, Phys. Rev. A 102 (2020) 013505. doi:10.1103/PhysRevA.102.013505. URLhttps://link.aps.org/doi/10.1103/PhysRevA.1...

2020 doi
[183]

Seberson, F

T. Seberson, F. Robicheaux, Stability and dynamics of optically levitated dielectric disks in a gaussian standing wave beyond the harmonic approximation, Phys. Rev. Res. 2 (2020) 033437.doi:10.1103/ PhysRevResearch.2.033437. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.2.033437

2020 doi
[184]

Podolsky, Quantum-mechanically correct form of hamiltonian function for conservative systems, Physical Review 32 (5) (1928) 812

B. Podolsky, Quantum-mechanically correct form of hamiltonian function for conservative systems, Physical Review 32 (5) (1928) 812

1928
[185]

Jost, Riemannian geometry and geometric analysis, Springer, 2005

J. Jost, Riemannian geometry and geometric analysis, Springer, 2005

2005
[186]

H. M. Wiseman, G. J. Milburn, Quantum measurement and control, Cambridge university press, 2009

2009
[187]

Belavkin, Measurement, filtering and control in quantum open dynamical systems, Reports on Mathematical Physics 43 (3) (1999) A405–A425

V. Belavkin, Measurement, filtering and control in quantum open dynamical systems, Reports on Mathematical Physics 43 (3) (1999) A405–A425

1999
[188]

Jacobs, Quantum measurement theory and its applications, Cambridge University Press, 2014

K. Jacobs, Quantum measurement theory and its applications, Cambridge University Press, 2014

2014
[189]

B. A. Stickler, S. Nimmrichter, L. Martinetz, S. Kuhn, M. Arndt, K. Hornberger, Rotranslational cavity cooling of dielectric rods and disks, Phys. Rev. A 94 (2016) 033818.doi:10.1103/PhysRevA. 94.033818. URLhttps://link.aps.org/doi/10.1103/PhysRevA.94.033818

2016 doi
[190]

B. A. Stickler, B. Papendell, K. Hornberger, Spatio-orientational decoherence of nanoparticles, Physical Review A 94 (3) (2016) 033828.doi:10.1103/PhysRevA.94.033828. URLhttps://link.aps.org/doi/10.1103/PhysRevA.94.033828

2016 doi
[191]

Papendell, B

B. Papendell, B. A. Stickler, K. Hornberger, Quantum angular momentum diffusion of rigid bodies, New Journal of Physics 19 (12) (2017) 122001.doi:10.1088/1367-2630/aa99d1. URLhttps://doi.org/10.1088/1367-2630/aa99d1 107

2017 doi
[192]

Toroš, M

M. Toroš, M. Rashid, H. Ulbricht, Detection of anisotropic particles in levitated optomechanics, Physical Review A 98 (5) (2018) 053803.doi:10.1103/PhysRevA.98.053803. URLhttps://link.aps.org/doi/10.1103/PhysRevA.98.053803

2018 doi
[193]

B. A. Stickler, B. Schrinski, K. Hornberger, Rotational friction and diffusion of quantum rotors, arXiv preprint arXiv:1712.05163 (2017).doi:10.1103/PhysRevLett.121.040401. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.121.040401

2017 arXiv
[194]

H. M. Wiseman, G. J. Milburn, Interpretation of quantum jump and diffusion processes illustrated on the bloch sphere, Phys. Rev. A 47 (1993) 1652–1666.doi:10.1103/PhysRevA.47.1652. URLhttps://link.aps.org/doi/10.1103/PhysRevA.47.1652

1993 doi
[195]

M. Pan, J. A. Lednicky, C.-Y. Wu, Collection, particle sizing and detection of airborne viruses, Journal of applied microbiology 127 (6) (2019) 1596–1611

2019
[196]

Mitra, B

A. Mitra, B. Deutsch, F. Ignatovich, C. Dykes, L. Novotny, Nano-optofluidic detection of single viruses and nanoparticles, ACS nano 4 (3) (2010) 1305–1312

2010
[197]

S. Wang, K. Zhou, X. Lu, H. Chen, F. Yang, Q. Li, J. Chen, K. A. Prather, X. Yang, X. Wang, Online shape and density measurement of single aerosol particles, Journal of Aerosol Science 159 (2022) 105880.doi:https://doi.org/10.1016/j.jaerosci.2021.105880. URLhttps://www.science...

2022
[198]

Zhu, Şahin Kaya Özdemir, L

J. Zhu, Şahin Kaya Özdemir, L. He, D.-R. Chen, L. Yang, Single virus and nanoparticle size spectrometry by whispering-gallery-mode microcavities, Opt. Express 19 (17) (2011) 16195–16206. doi:10.1364/OE.19.016195. URLhttp://opg.optica.org/oe/abstract.cfm?URI=oe-19-17-16195

2011 doi
[199]

Asghari, C

A. Asghari, C. Wang, K. M. Yoo, A. Rostamian, X. Xu, J.-D. Shin, H. Dalir, R. T. Chen, Fast, accurate, point-of-care COVID-19 pandemic diagnosis enabled through advanced lab-on-chip optical biosensors: Opportunities and challenges, Applied Physics Reviews 8 (3) (2021) 031313.a...

2021 doi
[200]

Priyadarshi, U

N. Priyadarshi, U. Abbasi, V. Kumaran, P. Chowdhury, A new approach for accurate determination of particle sizes in microfluidic impedance cytometry, Nanotechnology and Precision Engineering (NPE) 5 (4) (2022) 043002.arXiv:https://pubs.aip.org/tu/npe/article-pdf/doi/10.1063/10...

2022 doi
[201]

URLhttps://arxiv.org/abs/2410.08857

K.Nyandey, G.Derkachov, D.Jakubczyk, Aconvolutionalneuralnetworktechniqueforonlinetracking of the radius evolution of levitating evaporating microdroplets of pure liquids, liquid mixtures and suspensions (2024).arXiv:2410.08857. URLhttps://arxiv.org/abs/2410.08857

2024 arXiv
[202]

P. H. Kaye, J. E. Barton, E. Hirst, J. M. Clark, Simultaneous light scattering and intrinsic fluorescence measurement for the classification of airborne particles, Appl. Opt. 39 (21) (2000) 3738–3745.doi: 10.1364/AO.39.003738. URLhttps://opg.optica.org/ao/abstract.cfm?URI=ao-3...

2000 doi
[203]

A. Chen, S. Wang, Y. Liu, S. Yan, J. Zeng, T. Deng, Light scattering intensity field imaging sensor for in situ aerosol analysis, ACS Sensors 5 (7) (2020) 2061–2066, pMID: 32608223.arXiv:https: //doi.org/10.1021/acssensors.0c00574,doi:10.1021/acssensors.0c00574. URLhttps://doi...

2020 doi
[204]

P. J. Z. William D. Dick, P. H. McMurry, Multiangle light-scattering measurements of refractive index of submicron atmospheric particles, Aerosol Science and Technology 41 (5) (2007) 549–569. arXiv:https://doi.org/10.1080/02786820701272012,doi:10.1080/02786820701272012. URLhtt...

2007 doi
[205]

Wu, D.-x

M.-y. Wu, D.-x. Ling, L. Ling, W. Li, Y.-q. Li, Stable optical trapping and sensitive characterization of nanostructures using standing-wave raman tweezers, Scientific Reports 7 (1) (2017) 42930.doi: 10.1038/srep42930. URLhttps://doi.org/10.1038/srep42930

2017 doi
[206]

Kohler, M

L. Kohler, M. Mader, C. Kern, M. Wegener, D. Hunger, Tracking Brownian motion in three dimensions and characterization of individual nanoparticles using a fiber-based high-finesse microcavity, Nature Communications 12 (1) (2021) 6385.doi:10.1038/s41467-021-26719-5. URLhttps://...

2021 doi
[207]

C.-H. Li, J. Jing, L.-M. Zhou, Z.-H. Fu, X.-W. Gao, N. Li, X.-F. Chen, H.-Z. Hu, Fast size estimation of single-levitated nanoparticles in a vacuum optomechanical system, Optics Letters 46 (18) (2021) 4614.doi:10.1364/ol.436041. URLhttps://doi.org/10.1364/ol.436041

2021 doi
[208]

Rybin, D

V. Rybin, D. Shcherbinin, M. Semynin, A. Gavenchuk, V. Zakharov, A. Ivanov, Y. Rozhdestvensky, S. Rudyi, Novel nonlinear damping identification method: Simultaneous size, mass, charge and density measurements of a microparticle in quadrupole trap, Powder Technology 427 (2023) ...

2023
[209]

R. K. Kohli, J. F. Davies, Measuring the chemical evolution of levitated particles: A study on the evaporation of multicomponent organic aerosol, Analytical Chemistry 93 (36) (2021) 12472–12479, pMID: 34455787.arXiv:https://doi.org/10.1021/acs.analchem.1c02890,doi:10.1021/acs....

2021 doi
[210]

P. Chen, N. Li, P. He, X. Chen, D. Wang, J. Liu, H. Hu, Shape measurement and rapid identification of levitated nanoparticles based on scattering, Optics and Lasers in Engineering 187 (2025) 108868. doi:https://doi.org/10.1016/j.optlaseng.2025.108868. URLhttps://www.sciencedir...

2025
[211]

C. Li, Y. Ma, J. Wang, Q. Ying, S. Zhu, Z. Fu, X. Jiang, H. Yang, T. Liang, X. Gao, H. Hu, Morphological tracking and tuning of silica nanoparticles in optomechanical systems for enhanced stable levitation in vacuum, ACS Applied Nano Materials 7 (22) (2024) 25493–25499.arXiv:h...

2024 doi
[212]

Zheng, Y

D. Zheng, Y. Leng, X. Kong, R. Li, Z. Wang, X. Luo, J. Zhao, C.-K. Duan, P. Huang, J. Du, M. Carlesso, A. Bassi, Room temperature test of the continuous spontaneous localization model using a levitated micro-oscillator, Phys. Rev. Res. 2 (2020) 013057.doi:10.1103/PhysRevResear...

2020 doi
[213]

A. K. Amer, F. Robicheaux, Simulations and theory of power spectral density functions for time- dependent and anharmonic langevin oscillators, Phys. Rev. E 108 (2023) 034122.doi:10.1103/ PhysRevE.108.034122. URLhttps://link.aps.org/doi/10.1103/PhysRevE.108.034122

2023 doi
[214]

J. Gao, F. van der Laan, J. A. Zielińska, A. Militaru, L. Novotny, M. Frimmer, Feedback cooling a levitated nanoparticle’s libration to below 100 phonons, Phys. Rev. Res. 6 (2024) 033009.doi: 10.1103/PhysRevResearch.6.033009. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch...

2024 doi
[215]

Schellenberg, M

B. Schellenberg, M. M. Behbahani, N. Balasubramanian, T. H. Fikkers, S. Hoekstra, Mass and shape determination of optically levitated nanoparticles, Applied Physics Letters 123 (11) (2023) 114102.arXiv:https://pubs.aip.org/aip/apl/article-pdf/doi/10.1063/5.0166136/ 110 1811948...

2023 doi
[216]

Li, C.-X

C.-H. Li, C.-X. He, Y.-Y. Ma, J.-C. Wang, Y. Dong, S.-C. Zhu, X.-W. Gao, H.-Z. Hu, Structure characterization of nanoparticles with optical tweezers using scattering light, Optics & Laser Technology 171 (2024) 110347.doi:https://doi.org/10.1016/j.optlastec.2023.110347. URLhttp...

2024
[217]

J. M. H. Gosling, M. Rademacher, J. T. Mulder, A. J. Houtepen, M. Toroš, A. T. M. A. Rahman, A. Pontin, P. F. Barker, Levitodynamic spectroscopy for single nanoparticle characterisation (2024). arXiv:2401.11551

2024 arXiv
[218]

Timberlake, E

C. Timberlake, E. Simcox, H. Ulbricht, Linear cooling of a levitated micromagnetic cylinder by vibration, Phys. Rev. Res. 6 (2024) 033345.doi:10.1103/PhysRevResearch.6.033345. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.6.033345

2024 doi
[219]

C.P.Blakemore, D.Martin, A.Fieguth, N.Priel, G.Venugopalan, A.Kawasaki, G.Gratta, Librational feedback cooling, Phys. Rev. A 106 (2022) 023503.doi:10.1103/PhysRevA.106.023503. URLhttps://link.aps.org/doi/10.1103/PhysRevA.106.023503

2022 doi
[221]

Timberlake, G

C. Timberlake, G. Gasbarri, A. Vinante, A. Setter, H. Ulbricht, Acceleration sensing with magnetically levitated oscillators above a superconductor, Applied Physics Letters 115 (22) (Nov. 2019).doi: 10.1063/1.5129145. URLhttp://dx.doi.org/10.1063/1.5129145

2019 doi
[222]

Vinante, C

A. Vinante, C. Timberlake, H. Ulbricht, Levitated micromagnets in superconducting traps: A new platform for tabletop fundamental physics experiments, Entropy 24 (11) (2022) 1642.doi:10.3390/ e24111642. URLhttp://dx.doi.org/10.3390/e24111642

2022 doi
[223]

E. R. Post, G. A. Popescu, N. Gershenfeld, Inertial measurement with trapped particles: A microdynamical system, Applied Physics Letters 96 (14) (Apr. 2010).doi:10.1063/1.3360808. URLhttp://dx.doi.org/10.1063/1.3360808 111

2010 doi
[224]

Monteiro, W

F. Monteiro, W. Li, G. Afek, C.-l. Li, M. Mossman, D. C. Moore, Force and acceleration sensing with optically levitated nanogram masses at microkelvin temperatures, Phys. Rev. A 101 (2020) 053835. doi:10.1103/PhysRevA.101.053835. URLhttps://link.aps.org/doi/10.1103/PhysRevA.101.053835

2020 doi
[225]

J. M. H. Gosling, A. Pontin, J. H. Iacoponi, P. F. Barker, T. S. Monteiro, Sensing directional noise baths in levitated optomechanics, Phys. Rev. Res. 6 (2024) 013129.doi:10.1103/PhysRevResearch. 6.013129. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.6.013129

2024 doi
[226]

Liang, S

T. Liang, S. Zhu, P. He, Z. Chen, Y. Wang, C. Li, Z. Fu, X. Gao, X. Chen, N. Li, Q. Zhu, H. Hu, Yoctonewton force detection based on optically levitated oscillator, Fundamental Research 3 (1) (2023) 57–62.doi:10.1016/j.fmre.2022.09.021. URLhttp://dx.doi.org/10.1016/j.fmre.2022.09.021

2023 doi
[227]

Millen, T

J. Millen, T. Deesuwan, P. Barker, J. Anders, Nanoscale temperature measurements using non- equilibrium brownian dynamics of a levitated nanosphere, Nature Nanotechnology 9 (6) (2014) 425–429.doi:10.1038/nnano.2014.82. URLhttp://dx.doi.org/10.1038/nnano.2014.82

2014 doi
[228]

Carlesso, S

M. Carlesso, S. Donadi, L. Ferialdi, M. Paternostro, H. Ulbricht, A. Bassi, Present status and future challenges of non-interferometric tests of collapse models, Nature Physics (2022) 1–8. URLhttps://doi.org/10.1038/s41567-021-01489-5

2022 doi
[229]

J. Wang, T. W. Penny, J. Recoaro, B. Siegel, Y.-H. Tseng, D. C. Moore, Mechanical detection of nuclear decays, Phys. Rev. Lett. 133 (2024) 023602.doi:10.1103/PhysRevLett.133.023602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.133.023602

2024 doi
[230]

J. A. Zielińska, F. van der Laan, A. Norrman, M. Rimlinger, R. Reimann, L. Novotny, M. Frimmer, Controlling optomechanical libration with the degree of polarization, Physical Review Letters 130 (20) (May 2023).doi:10.1103/physrevlett.130.203603. URLhttp://dx.doi.org/10.1103/Ph...

2023 doi
[231]

V. A. Parsegian, G. H. Weiss, Dielectric anisotropy and the van der waals interaction between bulk media, The Journal of Adhesion 3 (4) (1972) 259–267.doi:10.1080/00218467208072197. URLhttp://dx.doi.org/10.1080/00218467208072197

1972 doi
[232]

D. A. T. Somers, J. L. Garrett, K. J. Palm, J. N. Munday, Measurement of the casimir torque, Nature 564 (7736) (2018) 386–389.doi:10.1038/s41586-018-0777-8. URLhttp://dx.doi.org/10.1038/s41586-018-0777-8 112

2018 doi
[233]

J. B. Pendry, Shearing the vacuum - quantum friction, Journal of Physics: Condensed Matter 9 (47) (1997) 10301–10320.doi:10.1088/0953-8984/9/47/001. URLhttp://dx.doi.org/10.1088/0953-8984/9/47/001

1997 doi
[234]

Z. Xu, Z. Jacob, T. Li, Enhancement of rotational vacuum friction by surface photon tunneling, Nanophotonics 10 (1) (2020) 537–543.doi:10.1515/nanoph-2020-0391. URLhttp://dx.doi.org/10.1515/nanoph-2020-0391

2020 doi
[235]

H. B. G. Casimir, On the attraction between two perfectly conducting plates, Indag. Math. 10 (4) (1948) 261–263

1948
[236]

J. N. Munday, D. Iannuzzi, Y. Barash, F. Capasso, Torque on birefringent plates induced by quantum fluctuations, Phys. Rev. A 71 (2005) 042102.doi:10.1103/PhysRevA.71.042102. URLhttps://link.aps.org/doi/10.1103/PhysRevA.71.042102

2005 doi
[237]

Joulain, R

K. Joulain, R. Carminati, J.-P. Mulet, J.-J. Greffet, Definition and measurement of the local density of electromagnetic states close to an interface, Phys. Rev. B 68 (2003) 245405.doi:10.1103/PhysRevB. 68.245405. URLhttps://link.aps.org/doi/10.1103/PhysRevB.68.245405

2003 doi
[238]

P. Ju, Y. Jin, K. Shen, Y. Duan, Z. Xu, X. Gao, X. Ni, T. Li, Near-field ghz rotation and sensing with an optically levitated nanodumbbell, Nano Letters 23 (22) (2023) 10157–10163.doi:10.1021/acs. nanolett.3c02442. URLhttp://dx.doi.org/10.1021/acs.nanolett.3c02442

2023 doi
[239]

Z. Xu, T. Li, Detecting casimir torque with an optically levitated nanorod, Phys. Rev. A 96 (2017) 033843.doi:10.1103/PhysRevA.96.033843. URLhttps://link.aps.org/doi/10.1103/PhysRevA.96.033843

2017 doi
[240]

Khosravi, W

F. Khosravi, W. Sun, C. Khandekar, T. Li, Z. Jacob, Giant enhancement of vacuum friction in spinning yig nanospheres, New Journal of Physics 26 (5) (2024) 053006.doi:10.1088/1367-2630/ad3fe1. URLhttp://dx.doi.org/10.1088/1367-2630/ad3fe1

2024 doi
[241]

A. Raj, W. L. Schaich, B. Dragnea, Orbital dynamics at atmospheric pressure in a lensed dual-beam optical trap, Journal of the Optical Society of America A 39 (8) (2022) 1468.doi:10.1364/josaa. 459301. URLhttp://dx.doi.org/10.1364/JOSAA.459301

2022 doi
[242]

X. Chen, G. Xiao, K. Yang, W. Xiong, H. Luo, Characteristics of the orbital rotation in dual-beam fiber-optic trap with transverse offset, Optics Express 24 (15) (2016) 16952.doi:10.1364/oe.24. 113 016952. URLhttp://dx.doi.org/10.1364/OE.24.016952

2016 doi
[243]

Mazilu, Y

M. Mazilu, Y. Arita, T. Vettenburg, J. M. Auñón, E. M. Wright, K. Dholakia, Orbital-angular- momentum transfer to optically levitated microparticles in vacuum, Phys. Rev. A 94 (2016) 053821. doi:10.1103/PhysRevA.94.053821. URLhttps://link.aps.org/doi/10.1103/PhysRevA.94.053821

2016 doi
[244]

Dania, D

L. Dania, D. S. Bykov, F. Goschin, M. Teller, A. Kassid, T. E. Northup, Ultrahigh quality factor of a levitated nanomechanical oscillator, Phys. Rev. Lett. 132 (2024) 133602.doi:10.1103/PhysRevLett. 132.133602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.132.133602

2024 doi
[245]

C. P. Blakemore, D. Martin, A. Fieguth, A. Kawasaki, N. Priel, A. D. Rider, G. Gratta, Absolute pressure and gas species identification with an optically levitated rotor, Journal of Vacuum Science & Technology B, Nanotechnology and Microelectronics: Materials, Processing, Meas...

2020 doi
[246]

D. S. Barker, D. Carney, T. W. LeBrun, D. C. Moore, J. M. Taylor, Collision-resolved pressure sensing, Phys. Rev. A 109 (2024) 042616.doi:10.1103/PhysRevA.109.042616. URLhttps://link.aps.org/doi/10.1103/PhysRevA.109.042616

2024 doi
[247]

T. M. Fuchs, D. G. Uitenbroek, J. Plugge, N. van Halteren, J.-P. van Soest, A. Vinante, H. Ulbricht, T. H. Oosterkamp, Measuring gravity with milligram levitated masses, Science Advances 10 (8) (Feb. 2024).doi:10.1126/sciadv.adk2949. URLhttp://dx.doi.org/10.1126/sciadv.adk2949

2024 doi
[248]

Xiong, K

P. Xiong, K. K. K. Ho, J. M. H. Gosling, M. Rademacher, P. F. Barker, Optical centrifuge for nanoparticles (2025).arXiv:2506.16134. URLhttps://arxiv.org/abs/2506.16134

2025 arXiv
[249]

K. Zeng, X. Xu, Y. Wu, X. Wu, D. Xiao, Optically levitated micro gyroscopes with an mhz rotational vaterite rotor, Microsystems & Nanoengineering 10 (1) (Jun. 2024).doi:10.1038/ s41378-024-00726-0. URLhttp://dx.doi.org/10.1038/s41378-024-00726-0

2024 doi
[250]

Fadeev, C

P. Fadeev, C. Timberlake, T. Wang, A. Vinante, Y. B. Band, D. Budker, A. O. Sushkov, H. Ulbricht, D. F. J. Kimball, Ferromagnetic gyroscopes for tests of fundamental physics, Quantum Science and 114 Technology 6 (2) (2021) 024006.doi:10.1088/2058-9565/abd892. URLhttps://dx.doi...

2021 doi
[251]

X. Ni, Z. Zou, R. Lecamwasam, A. Vinante, D. Budker, P. K. Lam, T. Wang, J. Gong, Microscopic theory of a precessing ferromagnet for ultrasensitive magnetometry (2025).arXiv:2503.00728. URLhttps://arxiv.org/abs/2503.00728

2025
[252]

Ahrens, W

F. Ahrens, W. Ji, D. Budker, C. Timberlake, H. Ulbricht, A. Vinante, Levitated ferromagnetic magnetometer with energy resolution well belowℏ, Phys. Rev. Lett. 134 (2025) 110801.doi: 10.1103/PhysRevLett.134.110801. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.134.110801

2025 doi
[253]

S. Zhu, Z. Fu, X. Gao, C. Li, Z. Chen, Y. Wang, X. Chen, H. Hu, Nanoscale electric field sensing using a levitated nano-resonator with net charge, Photon. Res. 11 (2) (2023) 279–289.doi:10.1364/PRJ. 475793. URLhttps://opg.optica.org/prj/abstract.cfm?URI=prj-11-2-279

2023 doi
[254]

Z. Fu, J. Xu, S. Zhu, C. He, X. Zhu, X. Gao, H. Cai, P. He, Z. Chen, Y. Zhang, N. Li, X. Chen, Y. Dong, S. Zhu, C. Liu, H. Hu, Optically levitated nanoparticles as receiving antennas for low frequency wireless communication, PhotoniX 6 (1) (Jan. 2025).doi:10.1186/s43074-025-00...

2025 doi
[255]

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, R. W. Simmonds, Sideband cooling of micromechanical motion to the quantum ground state, Nature 475 (7356) (2011) 359–363. URLhttps://doi.org/10.1038/nature10261

2011 doi
[256]

M. G. Paris, F. Illuminati, A. Serafini, S. De Siena, Purity of gaussian states: Measurement schemes and time evolution in noisy channels, Physical Review A 68 (1) (2003) 012314

2003
[257]

Børkje, F

K. Børkje, F. Marin, Quantum state purity versus average phonon number for characterization of mechanical oscillators in cavity optomechanics, Physical Review A 107 (1) (2023) 013502

2023
[258]

Leibfried, R

D. Leibfried, R. Blatt, C. Monroe, D. Wineland, Quantum dynamics of single trapped ions, Reviews of Modern Physics 75 (1) (2003) 281

2003
[259]

Wilson-Rae, N

I. Wilson-Rae, N. Nooshi, W. Zwerger, T. J. Kippenberg, Theory of ground state cooling of a mechanical oscillator using dynamical backaction, Physical review letters 99 (9) (2007) 093901. 115

2007
[260]

Genes, D

C. Genes, D. Vitali, P. Tombesi, S. Gigan, M. Aspelmeyer, Ground-state cooling of a micromechanical oscillator: Comparing cold damping and cavity-assisted cooling schemes, Physical Review A—Atomic, Molecular, and Optical Physics 77 (3) (2008) 033804

2008
[261]

Mancini, D

S. Mancini, D. Vitali, P. Tombesi, Optomechanical cooling of a macroscopic oscillator by homodyne feedback, Physical Review Letters 80 (4) (1998) 688

1998
[262]

Frimmer, K

M. Frimmer, K. Luszcz, S. Ferreiro, V. Jain, E. Hebestreit, L. Novotny, Controlling the net charge on a nanoparticle optically levitated in vacuum, Physical Review A 95 (6) (2017) 061801

2017
[263]

A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82 (2010) 1155–1208.doi: 10.1103/RevModPhys.82.1155. URLhttps://link.aps.org/doi/10.1103/RevModPhys.82.1155

2010 doi
[264]

A. H. Safavi-Naeini, J. Chan, J. T. Hill, T. P. M. Alegre, A. Krause, O. Painter, Observation of quantum motion of a nanomechanical resonator, Physical Review Letters 108 (3) (2012) 033602

2012
[265]

R. E. Kalman, A new approach to linear filtering and prediction problems, J. Basic Eng. (82) (1960) 35–45

1960
[266]

J. Liao, M. Jost, M. Schaffner, M. Magno, M. Korb, L. Benini, F. Tebbenjohanns, R. Reimann, V. Jain, M. Gross, et al., Fpga implementation of a kalman-based motion estimator for levitated nanoparticles, IEEE Transactions on Instrumentation and Measurement 68 (7) (2018) 2374–2386

2018
[267]

R. E. Kalman, et al., Contributions to the theory of optimal control, Bol. soc. mat. mexicana 5 (2) (1960) 102–119

1960
[268]

Kamba, K

M. Kamba, K. Aikawa, Revealing the velocity uncertainties of a levitated particle in the quantum ground state, Phys. Rev. Lett. 131 (2023) 183602.doi:10.1103/PhysRevLett.131.183602. URLhttps://link.aps.org/doi/10.1103/PhysRevLett.131.183602

2023 doi
[269]

Vijayan, Z

J. Vijayan, Z. Zhang, J. Piotrowski, D. Windey, F. van der Laan, M. Frimmer, L. Novotny, Scalable all-optical cold damping of levitated nanoparticles, Nature nanotechnology 18 (1) (2023) 49–54

2023
[270]

G. Afek, F. Monteiro, B. Siegel, J. Wang, S. Dickson, J. Recoaro, M. Watts, D. C. Moore, Control and measurement of electric dipole moments in levitated optomechanics, Physical Review A 104 (5) (Nov. 2021).doi:10.1103/physreva.104.053512. URLhttp://dx.doi.org/10.1103/PhysRevA....

2021 doi
[271]

Parniak, I

M. Parniak, I. Galinskiy, T. Zwettler, E. S. Polzik, High-frequency broadband laser phase noise cancellation using a delay line, Optics Express 29 (5) (2021) 6935–6946

2021
[272]

L. Qiu, I. Shomroni, P. Seidler, T. J. Kippenberg, Laser cooling of a nanomechanical oscillator to its zero-point energy, Physical review letters 124 (17) (2020) 173601

2020
[273]

Youssefi, S

A. Youssefi, S. Kono, M. Chegnizadeh, T. J. Kippenberg, A squeezed mechanical oscillator with millisecond quantum decoherence, Nature Physics 19 (11) (2023) 1697–1702

2023
[274]

Shkarin, N

A. Shkarin, N. Flowers-Jacobs, S. Hoch, A. Kashkanova, C. Deutsch, J. Reichel, J. Harris, Optically mediated hybridization between two mechanical modes, Physical review letters 112 (1) (2014) 013602

2014
[275]

E. T. Jaynes, F. W. Cummings, Comparison of quantum and semiclassical radiation theories with application to the beam maser, Proceedings of the IEEE 51 (1) (2005) 89–109

2005
[276]

Forn-Díaz, L

P. Forn-Díaz, L. Lamata, E. Rico, J. Kono, E. Solano, Ultrastrong coupling regimes of light-matter interaction, Reviews of Modern Physics 91 (2) (2019) 025005

2019
[277]

N. S. Mueller, Y. Okamura, B. G. Vieira, S. Juergensen, H. Lange, E. B. Barros, F. Schulz, S. Reich, Deep strong light–matter coupling in plasmonic nanoparticle crystals, Nature 583 (7818) (2020) 780– 784

2020
[278]

2021).doi:10.1038/s41467-020-20419-2

A.delosRíosSommer, N.Meyer, R.Quidant, Strongoptomechanicalcouplingatroomtemperatureby coherent scattering, Nature Communications 12 (1) (Jan. 2021).doi:10.1038/s41467-020-20419-2. URLhttps://doi.org/10.1038/s41467-020-20419-2

2021 doi
[279]

K. Dare, J. J. Hansen, I. Coroli, A. Johnson, M. Aspelmeyer, U. Delić, Ultrastrong linear optomechanical interaction, Physical Review Research 6 (4) (2024) L042025

2024
[280]

Ranfagni, P

A. Ranfagni, P. Vezio, M. Calamai, A. Chowdhury, F. Marino, F. Marin, Vectorial polaritons in the quantum motion of a levitated nanosphere, Nature Physics 17 (10) (2021) 1120–1124.doi: 10.1038/s41567-021-01307-y. URLhttps://doi.org/10.1038/s41567-021-01307-y

2021 doi
[281]

Kustura, C

K. Kustura, C. Gonzalez-Ballestero, A. d. l. R. Sommer, N. Meyer, R. Quidant, O. Romero-Isart, Mechanical squeezing via unstable dynamics in a microcavity, Physical Review Letters 128 (14) (2022) 143601

2022
[282]

Weiss, M

T. Weiss, M. Roda-Llordes, E. Torrontegui, M. Aspelmeyer, O. Romero-Isart, Large quantum delocalization of a levitated nanoparticle using optimal control: Applications for force sensing and entangling via weak forces, Phys. Rev. Lett. 127 (2021) 023601.doi:10.1103/PhysRevLett....

2021 doi
[283]

Cosco, J

F. Cosco, J. S. Pedernales, M. B. Plenio, Enhanced force sensitivity and entanglement in periodically driven optomechanics, Phys. Rev. A 103 (2021) L061501.doi:10.1103/PhysRevA.103.L061501. URLhttps://link.aps.org/doi/10.1103/PhysRevA.103.L061501

2021 doi
[284]

Calamai, A

M. Calamai, A. Ranfagni, F. Marin, Transfer of a levitating nanoparticle between optical tweezers, AIP Advances 11 (2) (2021)

2021
[285]

Frisk Kockum, A

A. Frisk Kockum, A. Miranowicz, S. De Liberato, S. Savasta, F. Nori, Ultrastrong coupling between light and matter, Nature Reviews Physics 1 (1) (2019) 19–40

2019
[286]

J. Koch, G. R. Hunanyan, T. Ockenfels, E. Rico, E. Solano, M. Weitz, Quantum rabi dynamics of trapped atoms far in the deep strong coupling regime, Nature Communications 14 (1) (2023) 954

2023
[287]

Rossi, A

M. Rossi, A. Militaru, N. C. Zambon, A. Riera-Campeny, O. Romero-Isart, M. Frimmer, L. Novotny, Quantum delocalization of a levitated nanoparticle (2024).doi:10.48550/ARXIV.2408.01264. URLhttps://arxiv.org/abs/2408.01264

2024 doi arXiv
[288]

Janszky, P

J. Janszky, P. Adam, Strong squeezing by repeated frequency jumps, Physical Review A 46 (9) (1992) 6091

1992
[289]

Rossi, D

M. Rossi, D. Mason, J. Chen, A. Schliesser, Observing and verifying the quantum trajectory of a mechanical resonator, Physical review letters 123 (16) (2019) 163601

2019
[290]

Lammers, K

J. Lammers, K. Hammerer, Quantum retrodiction in gaussian systems and applications in optomechanics, Frontiers in Quantum Science and Technology 2 (2024) 1294905

2024
[291]

S. Burd, R. Srinivas, J. Bollinger, A. Wilson, D. Wineland, D. Leibfried, D. Slichter, D. Allcock, Quantum amplification of mechanical oscillator motion, Science 364 (6446) (2019) 1163–1165

2019
[292]

Rashid, T

M. Rashid, T. Tufarelli, J. Bateman, J. Vovrosh, D. Hempston, M. S. Kim, H. Ulbricht, Experimental realization of a thermal squeezed state of levitated optomechanics, Phys. Rev. Lett. 117 (2016) 273601. doi:10.1103/PhysRevLett.117.273601. URLhttps://link.aps.org/doi/10.1103/Ph...

2016 doi
[293]

Ranfagni, K

A. Ranfagni, K. Børkje, F. Marino, F. Marin, Two-dimensional quantum motion of a levitated nanosphere, Phys. Rev. Res. 4 (2022) 033051.doi:10.1103/PhysRevResearch.4.033051. URLhttps://link.aps.org/doi/10.1103/PhysRevResearch.4.033051 118

2022 doi
[294]

Ranfagni, F

A. Ranfagni, F. Marino, F. Marin, Spectral analysis of quantum field fluctuations in a strongly coupled optomechanical system, Physical Review Letters 130 (19) (2023) 193601

2023
[295]

Ollivier, W

H. Ollivier, W. H. Zurek, Quantum discord: a measure of the quantumness of correlations, Physical review letters 88 (1) (2001) 017901

2001
[296]

Vitali, S

D. Vitali, S. Mancini, P. Tombesi, Stationary entanglement between two movable mirrors in a classically driven fabry–perot cavity, Journal of Physics A: Mathematical and Theoretical 40 (28) (2007) 8055

2007
[297]

Genes, D

C. Genes, D. Vitali, P. Tombesi, Simultaneous cooling and entanglement of mechanical modes of a micromirror in an optical cavity, New Journal of Physics 10 (9) (2008) 095009

2008
[298]

M. J. Hartmann, M. B. Plenio, Steady state entanglement in the mechanical vibrations of two dielectric membranes, Physical Review Letters 101 (20) (2008) 200503

2008
[299]

J. Li, I. M. Haghighi, N. Malossi, S. Zippilli, D. Vitali, Generation and detection of large and robust entanglement between two different mechanical resonators in cavity optomechanics, New Journal of Physics 17 (10) (2015) 103037

2015
[300]

Mazzola, M

L. Mazzola, M. Paternostro, Activating optomechanical entanglement, Scientific reports 1 (1) (2011) 199

2011

Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.

[1] [14]

Pontin, H

A. Pontin, H. Fu, M. Toroš, T. S. Monteiro, P. F. Barker, Simultaneous cavity cooling of all six degrees of freedom of a levitated nanoparticle, Nature Physics (Apr. 2023).doi:10.1038/ 88 s41567-023-02006-6. URLhttps://doi.org/10.1038/s41567-023-02006-6

work page doi:10.1038/s41567-023-02006-6 2023

[2] [220]

High-purity quantum optomechanics at room temperature

L. Dania, O. S. Kremer, J. Piotrowski, D. Candoli, J. Vijayan, O. Romero-Isart, C. Gonzalez- Ballestero, L. Novotny, M. Frimmer, High-purity quantum optomechanics at room temperature (2024). doi:10.48550/ARXIV.2412.14117. URLhttps://arxiv.org/abs/2412.14117

work page Pith review arXiv doi:10.48550/arxiv.2412.14117 2024

[3] [1]

Barzanjeh, A

S. Barzanjeh, A. Xuereb, S. Gröblacher, M. Paternostro, C. A. Regal, E. M. Weig, Optomechanics for quantum technologies, Nature Physics 18 (1) (2022) 15–24.doi:10.1038/s41567-021-01402-0. URLhttps://doi.org/10.1038/s41567-021-01402-0

doi:10.1038/s41567-021-01402-0 2022

[4] [2]

Gonzalez-Ballestero, M

C. Gonzalez-Ballestero, M. Aspelmeyer, L. Novotny, R. Quidant, O. Romero-Isart, Levitodynamics: Levitation and control of microscopic objects in vacuum, Science 374 (6564) (2021) eabg3027.doi: 10.1126/science.abg3027. URLhttps://doi.org/10.1126/science.abg3027

doi:10.1126/science.abg3027 2021

[5] [3]

Aspelmeyer, T

M. Aspelmeyer, T. J. Kippenberg, F. Marquardt, Cavity optomechanics, Reviews of Modern Physics 86 (4) (2014) 1391. URLhttps://doi.org/10.1103/RevModPhys.86.1391

doi:10.1103/revmodphys.86.1391 2014

[6] [4]

Bowen, G

W. Bowen, G. Milburn, Quantum Optomechanics, Taylor & Francis, 2015. URLhttps://books.google.co.uk/books?id=xqlcrgEACAAJ

2015

[7] [5]

M. Bild, M. Fadel, Y. Yang, U. von Lüpke, P. Martin, A. Bruno, Y. Chu, Schrödinger cat states of a 16- microgram mechanical oscillator, Science 380 (6642) (2023) 274–278.doi:10.1126/science.adf7553. URLhttps://www.science.org/doi/abs/10.1126/science.adf7553 87

doi:10.1126/science.adf7553 2023

[8] [6]

Bagci, A

T. Bagci, A. Simonsen, S. Schmid, L. G. Villanueva, E. Zeuthen, J. Appel, J. M. Taylor, A. Sørensen, K. Usami, A. Schliesser, E. S. Polzik, Optical detection of radio waves through a nanomechanical transducer, Nature 507 (7490) (2014) 81–85.doi:10.1038/nature13029. URLhttps://doi.org/10.1038/nature13029

work page doi:10.1038/nature13029 2014