Heterodyne position detection of an optomechanical system

Daniel Tandeitnik; Gabriel Dias; Thiago Guerreiro

REVIEW 2 major objections 6 minor 2 cited by

Heterodyne position detection of an optomechanical system

T0 review · 2 major / 6 minor · reviewed 2026-07-14 · grok-4.5

Challenge this review Re-run · record.json Download PDF Read on arXiv ↗

Pith's one-line read Heterodyne IQ demodulation gives linear, power-stable position readout that stays locked even when strong parasitic reflections break ordinary phase locking.

desk verdict Clean, immediately usable methods paper: digital heterodyne IQ on an FPGA that actually fixes the three practical headaches of homodyne position readout, with simultaneous dual-path data to prove it. read the letter →

arxiv 2607.09912 v1 pith:DJTBL2ET submitted 2026-07-10 quant-ph physics.optics

Daniel Tandeitnik , Gabriel Dias , Thiago Guerreiro This is my paper · ORCID

classification quant-phphysics.optics

keywords optomechanicsheterodynedetectionIQdemodulationopticallylevitatedparticlesphasereadoutparasiticreflectionsFPGAsignalprocessingcalibrationstability

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

Standard homodyne readout of optomechanical motion fails in three common ways: strong back-reflections stop stable phase locking, large displacements wrap the sine response and distort calibration, and slow power drifts change the gain factor. This paper shows that shifting the local oscillator by a fixed radio frequency and extracting phase with real-time digital in-phase and quadrature demodulation on an FPGA removes all three problems at once. The recovered phase is strictly linear in particle displacement, independent of optical amplitudes, and robust to parasitic fields that evolve slowly compared with the mechanical motion. Simultaneous homodyne and heterodyne measurements on the same optically levitated nanoparticle quantify the gains: clean force-voltage calibration without harmonic distortion, a calibration factor that does not track local-oscillator power, and roughly 10 dB higher signal-to-noise once parasitics are filtered. The same pipeline applies to any optomechanical system whose motion is encoded in optical phase.

What carries the argument

Digital IQ demodulation of a frequency-offset interference signal: after low-pass filtering, high-pass filtering of I and Q removes the quasi-static parasitic offset, and arctan(I/Q) yields the unwrapped phase, whose amplitudes cancel and whose sine nonlinearity never appears.

What would settle it

Drive the same particle with large electrode amplitudes while both detectors run simultaneously: if the heterodyne force-voltage curve develops the same non-monotonic rollover and odd harmonics as the homodyne curve, or if the heterodyne calibration factor begins to track deliberate local-oscillator power changes, the central claims fail.

Watch

Extended reading notes

Core claim

A heterodyne local oscillator plus digital IQ demodulation recovers a displacement signal that is linear in optical phase, free of phase wrapping, insensitive to local-oscillator and scattered-field power, and stable even when parasitic back-reflections exceed the desired signal. Simultaneous measurements on one levitated particle confirm all three advantages over conventional balanced homodyne detection.

Load-bearing premise

Parasitic and residual local-oscillator phases must drift slowly compared with the particle motion so that a simple high-pass filter can separate them without distorting the mechanical signal.

Editorial extensions

If this is right

Electrode-force and detection calibrations remain reliable at large drive amplitudes without underestimating the fundamental response.
Long-duration force sensing and feedback cooling no longer require mid-experiment power stabilization or recalibration of the transduction gain.
Backward collection geometries that suffer strong lens or window reflections can still be used for high-efficiency axial readout.
The same FPGA pipeline can be dropped into cavity optomechanics or nanomechanical phase-readout experiments by matching the heterodyne offset and filter bandwidths.
Velocity-damping feedback remains feasible because end-to-end latency stays near 600 ns.

Reading between the lines

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

Laboratories already using heterodyne thermometry can often add the IQ stage with only digital changes, converting an existing diagnostic into the primary position channel.
Once the phase is linear and power-independent, multi-hour dark-matter or impulse searches on levitated particles become less systematics-limited by calibration drift.
If parasitic phase noise itself becomes fast, the high-pass separation would fail and a more elaborate adaptive or multi-tone lock might be needed—an immediate experimental stress test.
The runtime bit-window that trades phase range against resolution could be closed-loop adapted to cooling progress, automatically tightening the dynamic range as the particle cools.

Share X Bluesky LinkedIn Reddit HN

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 experimental methods paper. The new piece is not heterodyne itself (they note it is already used for thermometry) but the real-time digital IQ pipeline on a Red Pitaya: high-pass removal of the parasitic offset in I and Q, arctan phase extraction, unwrap, and a final drift filter, all with ~600 ns latency. That combination simultaneously solves three recurring lab problems—phase-lock failure under strong back-reflections, sine wrapping that biases PSD calibrations, and CVM drift with LO/SF power—and they quantify each one with simultaneous homodyne and heterodyne paths on the same particle.

What they do well is the head-to-head comparison. Analytic models in II–III are standard and correctly derived. Figures 7–8 show the electrode-force calibration going non-monotonic under homodyne (Jacobi–Anger) while staying linear under heterodyne; Figure 9 shows CVM flat versus LO amplitude for heterodyne and linear for homodyne, plus a ~10 dB SNR edge once the electronic floor is cleared. Error bars are present on the calibration sweep. The three advantages follow directly from arctan(I/Q) and spectral separation; they are not fitted. Citations are appropriate and the FPGA block diagram is detailed enough to re-implement.

Soft spots are minor and do not undercut the claims. The only non-trivial assumption is that parasitic and residual LO phases drift slowly enough for ~1–10 Hz IIR corners to clean them without eating the mechanical signal; that is standard for thermal/mechanical drifts and they already treat residual phase noise as the high-LO SNR floor. No code or raw data is shipped, and the noise-budget discussion stays qualitative. Free parameters (CIC R/N, bit-window l, filter corners) are runtime-configurable and stated. None of this is load-bearing.

This is for people who actually run levitated particles, cavity optomechanics, or any phase-based sensor and have fought back-reflections or recalibration. It will not open a new physical regime, but it removes three obstacles that currently limit long runs and feedback. I would send it to peer review without hesitation; a methods journal or quant-ph/optics venue should take it. Worth engaging if you care about practical readout.

Referee Report

2 major / 6 minor

Summary. The manuscript proposes and experimentally demonstrates a heterodyne position-readout scheme for optomechanical systems, based on digital IQ demodulation on an FPGA. Relative to standard balanced homodyne detection, the scheme is argued to offer three advantages: (i) robustness to strong parasitic back-reflected fields that can destabilize optical phase locking; (ii) a displacement signal strictly linear in optical phase, free of sinusoidal nonlinearity and phase wrapping; and (iii) a calibration factor CVM that is independent of local-oscillator and scattered-field amplitudes. Analytic models of both schemes are derived (Secs. II–III). The three advantages are then quantified by simultaneous dual-path measurements on the same optically levitated nanoparticle (Sec. IV C, Figs. 7–9), including electrode-force calibration, CVM versus LO amplitude, and SNR. A real-time FPGA pipeline (CIC, CORDIC, phase unwrap, IIR high-pass) with ~600 ns latency is described.

Significance. If the claims hold, the work provides a practical, platform-agnostic alternative to homodyne phase readout that is especially useful in high-efficiency backward-collection geometries where parasitic reflections are hard to eliminate and where long-duration, recalibration-free operation is required (feedback cooling, force sensing, impulse measurements). The simultaneous dual-path comparison on a single particle is a strong experimental design choice that cleanly isolates detection-method effects from particle dynamics. The FPGA implementation uses standard IP cores and is runtime-configurable, which lowers the barrier to adoption. The three advantages follow directly from the arctan(I/Q) construction rather than from fitted parameters, which strengthens the result. The contribution is primarily methodological rather than a new physical effect, but it is well matched to the needs of the levitated-optomechanics and broader phase-readout communities.

major comments (2)

[Sec. IV C, Fig. 9(b); Abstract] Sec. IV C and Fig. 9(b): The abstract and introduction state that the scheme “remains robust in the presence of strong parasitic back-reflected fields that would otherwise prevent stable phase locking,” and that all three advantages are experimentally demonstrated. The experimental section, however, quantifies parasitic impact only through a ~10 dB SNR advantage attributed to residual parasitic phase noise after IIR filtering. There is no direct measurement showing that the homodyne PID lock fails (or is forced off the correct operating point) under the same conditions while the heterodyne channel continues to report a linear phase. Either add a diagnostic of the kind outlined in Sec. II B (setpoint offset, even-harmonic content, or fringe-ramp amplitude comparison) under the simultaneous dual-path conditions, or rephrase the experimental claim so that it matches what is actually shown—s
[Sec. III (after Eq. 13); Sec. IV B] Sec. III after Eq. (13) and Sec. IV B: The separation of parasitic and LO phase drifts from the mechanical signal rests on the assumption that ϕ_PF and residual ϕ_LO evolve slowly relative to the mechanical resonance, so that IIR high-pass corners of ~1 Hz (I/Q) and ~10 Hz (unwrapped phase) cleanly remove them. This is physically standard and is stated, and residual unfiltered phase noise is already visible as the high-LO SNR floor. For completeness, the manuscript should briefly quantify (or bound) any residual distortion of the mechanical spectrum near those corners, or state the lowest mechanical frequency for which the present filter settings remain valid. This is a load-bearing premise for the parasitic-rejection claim and should be made explicit for readers adapting the pipeline to lower-frequency oscillators.

minor comments (6)

[Sec. IV C, Fig. 9(a)] Fig. 9(a): CVM is shown to be independent of LO amplitude for the heterodyne channel, as predicted by Eq. (15). The text also claims immunity to SF-power drifts; only LO amplitude is varied experimentally. A short clause noting that SF independence follows from the same cancellation (and was not independently scanned) would avoid overstating the experimental scope.
[Sec. IV C, Figs. 7–8] Fig. 7 and Fig. 8: The electrode-drive demonstration of phase wrapping is clear and well supported by the Jacobi–Anger expansion (Eq. 19). Adding the fitted CNV values (or the ratio of inferred slopes) in the caption or text would make the quantitative bias under wrapping immediately readable without re-deriving from the plots.
[Sec. IV B] Sec. IV B: The configurable bit-window parameter l and the resulting trade-off between phase range and angular resolution are useful. A single sentence stating the l value used for the data in Figs. 7–9 would aid reproducibility.
[Figs. 2–3, 6] Throughout: A few figure labels and inline symbols appear corrupted in the source (e.g., “��”, “��”), likely encoding artifacts. These should be cleaned before production.
[Introduction; Sec. V] Introduction / Sec. V: Heterodyne detection is already common for thermometry in levitated systems; the manuscript acknowledges this. A slightly sharper statement of what is new (real-time IQ phase extraction for linear, drift-immune position readout, with dual-path quantification) would help readers place the contribution relative to existing heterodyne practice.
[Sec. IV B, Eq. (16)] Eq. (16): The CIC magnitude response is given; stating the resulting group delay or confirming that the quoted ~600 ns end-to-end latency includes the CIC would be helpful for feedback-loop design.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: advantages follow by construction from IQ demodulation and are independently confirmed by dual-path experiment.

full rationale

The three claimed advantages (robustness to strong PF via high-pass on I/Q, strict linearity of arctan(I/Q) free of phase wrapping, and CVM independent of A_LO A_SF) are direct algebraic consequences of the heterodyne + digital IQ pipeline derived in Sec. III (Eqs. 12–15). Amplitudes cancel in the phase extraction by definition; slow parasitic/LO drifts are removed by explicit IIR high-pass filters whose corner frequencies are stated and physically motivated. Experimental Figs. 7–9 simultaneously compare the two schemes on the identical particle and simply corroborate these properties (linear force–voltage, constant CVM vs LO amplitude, SNR gain); no free parameter is fitted to one subset of data and then re-presented as a prediction of a related quantity. Self-citations (e.g., to prior cooling or calibration papers) supply experimental context or standard formulas but are not load-bearing for the derivation of the three advantages. The paper is therefore self-contained against its own equations and external dual-path benchmarks.

Assumptions & free parameters 3 free parameters · 4 assumptions · 0 invented entities

The central claims rest on standard interferometric optics, the assumption that parasitic phases are slow, and ordinary digital-signal-processing blocks. No new physical entities are postulated; free parameters are only filter corners and bit-window settings that affect dynamic range, not the existence of the three advantages.

free parameters (3)

IIR high-pass corner frequencies (~1 Hz on I/Q, ~10 Hz on unwrapped phase)
Chosen by hand to suppress quasi-DC parasitics while preserving mechanical motion; values are stated but not derived from first principles.
CIC decimation R=16, N=4 stages
Engineering choice that sets image rejection (~72 dB) and output rate (7.8 MSa/s); not fitted to data but selected for the 10 MHz heterodyne offset.
Bit-window shift parameter l (runtime-configurable)
Selects measurement range versus angular resolution at the DAC; example l=2 is given for thermal excursions, but any integer in [0,18] works.

assumptions (4)

domain assumption Electric fields of LO, SF and parasitics are monochromatic and share the same linear polarization after the PBS.
Used throughout Secs. II–III to obtain the simple sinusoidal interference terms (Eqs. 4, 6, 12).
domain assumption Parasitic phase ϕPF and residual LO phase ϕLO vary on timescales ≪ mechanical period, so high-pass filtering isolates the particle motion.
Stated explicitly after Eq. 13 and required for the claim of robustness in the strong-parasitic regime.
standard math Standard balanced-detection photocurrent difference is proportional to the product of field amplitudes times sin(phase difference).
Classical interference result used as the starting point for both homodyne and heterodyne models.
standard math CORDIC rectangular-to-polar conversion and subsequent phase unwrapping correctly recover arctan(I/Q) within the 32-bit fixed-point representation.
Assumed for the FPGA pipeline (Sec. IV B); CORDIC is a well-known algorithm.

how reviews work

0 comments

Cite this review

Pith. "Pith review of Heterodyne position detection of an optomechanical system." pith.science (2026). https://pith.science/paper/DJTBL2ET

@misc{pith2026260709912,
  author       = {Pith},
  title        = {Pith review of: Heterodyne position detection of an optomechanical system},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/DJTBL2ET}},
  note         = {Machine review of arXiv:2607.09912}
}

read the original abstract

We report a heterodyne detection scheme for position readout of an optomechanical system, in particular an optically levitated particle, implemented via digital In-phase and Quadrature demodulation on a field-programmable gate array. Compared to the standard homodyne approach, the proposed method offers three key advantages: it remains robust in the presence of strong parasitic back-reflected fields that would otherwise prevent stable phase locking; it produces a signal linearly proportional to the particle displacement, eliminating phase-wrapping distortion; and its calibration factor is intrinsically immune to drifts in the optical power of the local oscillator or scattered field. We experimentally demonstrate and quantify all three advantages through simultaneous homodyne and heterodyne measurements on the same trapped particle. The proposed method can be used in any optomechanical system based on phase readout.

Figures

Figures reproduced from arXiv: 2607.09912 by the authors.

**Figure 2.** FIG. 2. Representative backward-collection geometry used for [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗

**Figure 3.** FIG. 3. Optimal LO phase as a function of the PF phase for [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗

Figures from the paper (5 more)

**Figure 4.** Figure 4: FIG. 4. Simulation of phase-wrapping effects in homodyne [PITH_FULL_IMAGE:figures/full_fig_p005_4.png]

**Figure 5.** Figure 5: FIG. 5. Experimental configuration for the simultaneous [PITH_FULL_IMAGE:figures/full_fig_p006_5.png]

**Figure 6.** Figure 6: FIG. 6. Block diagram of the FPGA heterodyne demodulation pipeline implemented on a Red Pitaya STEMLab 125-14. (a) A [PITH_FULL_IMAGE:figures/full_fig_p007_6.png]

**Figure 7.** Figure 7: FIG. 7. PSD of the axial displacement signal under a sinusoidal [PITH_FULL_IMAGE:figures/full_fig_p008_7.png]

**Figure 9.** Figure 9: FIG. 9. Simultaneous comparison of homodyne and hetero [PITH_FULL_IMAGE:figures/full_fig_p009_9.png]

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

Position measurement of a levitated particle with vectorial light
physics.optics 2026-07 accept novelty 6.0 of 10

A vectorial angular-spectrum scattering formalism yields realistic detection efficiencies and shows radially polarized tweezers suppress axial recoil heating versus Gaussian traps.
Mesoscopic mechanical superpositions by gluing individual quantum systems
quant-ph 2026-07 conditional novelty 6.0 of 10

A protocol in which a time-bin superposition of a single electron is converted, via surface capture and a pulsed electric field, into a mesoscopic superposition of nanoparticle momentum states with measurable interference.

Reference graph

Works this paper leans on

23 extracted references · cited by 2 Pith papers

[1]

V. B. Braginsky and F. Y. Khalili,Quantum measurement (Cambridge University Press, 1995)

1995
[2]

LIGO Scientific Collaboration, J. Aasi, B. P. Abbott, R. Abbott, T. Abbott, M. R. Abernathy,et al., Advanced LIGO, Classical and Quantum Gravity32, 074001 (2015)

2015
[3]

B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari,et al., Observation of gravitational waves from a binary black hole merger, Physical review letters 116, 061102 (2016)

2016
[4]

Aspelmeyer, T

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Reviews of Modern Physics86, 1391 (2014)

2014
[5]

Magrini, P

L. Magrini, P. Rosenzweig, C. Bach, A. Deutschmann- Olek, S. G. Hofer, S. Hong, N. Kiesel, A. Kugi, and M. Aspelmeyer, Real-time optimal quantum control of mechanical motion at room temperature, Nature595, 373 (2021)

2021
[6]

Tebbenjohanns, M

F. Tebbenjohanns, M. L. Mattana, M. Rossi, M. Frim- mer, and L. Novotny, Quantum control of a nanoparticle optically levitated in cryogenic free space, Nature595, 378 (2021)

2021
[7]

Iwasaki, T

M. Iwasaki, T. Yotsuya, T. Naruki, Y. Matsuda, M. Yoneda, and K. Aikawa, Electric feedback cooling of single charged nanoparticles in an optical trap, Physical Review A99, 051401 (2019)

2019
[8]

Kremer, I

O. Kremer, I. Califrer, D. Tandeitnik, J. P. von der Weid, G. Tempor˜ ao, and T. Guerreiro, All-electrical cooling of an optically levitated nanoparticle, Physical Review Applied22, 024010 (2024)

2024

Show all 23 references

[9]

Thompson, B

J. Thompson, B. Zwickl, A. Jayich, F. Marquardt, S. Girvin, and J. Harris, Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane, Nature452, 72 (2008)

2008
[10]

J. Chan, T. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gr¨ oblacher, M. Aspelmeyer, and O. Painter, Laser cooling of a nanomechanical oscillator into its quan- tum ground state, Nature478, 89 (2011)

2011
[11]

Gavartin, P

E. Gavartin, P. Verlot, and T. J. Kippenberg, A hybrid on-chip optomechanical transducer for ultrasensitive force measurements, Nature nanotechnology7, 509 (2012)

2012
[12]

T. P. Purdy, R. W. Peterson, and C. Regal, Observation of radiation pressure shot noise on a macroscopic object, Science339, 801 (2013)

2013
[13]

A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, mea- surement, and amplification, Reviews of Modern Physics 82, 1155 (2010)

2010
[14]

Tebbenjohanns, M

F. Tebbenjohanns, M. Frimmer, and L. Novotny, Optimal position detection of a dipolar scatterer in a focused field, Physical Review A100, 043821 (2019)

2019
[15]

Hebestreit, M

E. Hebestreit, M. Frimmer, R. Reimann, C. Dellago, F. Ricci, and L. Novotny, Calibration and energy measure- ment of optically levitated nanoparticle sensors, Review of Scientific Instruments89(2018)

2018
[16]

Ricci, M

F. Ricci, M. T. Cuairan, G. P. Conangla, A. W. Schell, and R. Quidant, Accurate mass measurement of a levitated nanomechanical resonator for precision force-sensing, Nano letters19, 6711 (2019)

2019
[17]

Maurer, C

P. Maurer, C. Gonzalez-Ballestero, and O. Romero-Isart, Quantum theory of light interaction with a lorenz-mie particle: Optical detection and three-dimensional ground- state cooling, Physical Review A108, 033714 (2023)

2023
[18]

Hebestreit, M

E. Hebestreit, M. Frimmer, R. Reimann, and L. Novotny, Sensing static forces with free-falling nanoparticles, Phys- ical Review Letters121, 063602 (2018)

2018
[19]

Winstone, R

G. Winstone, R. Bennett, M. Rademacher, M. Rashid, S. Buhmann, and H. Ulbricht, Direct measurement of the electrostatic image force of a levitated charged nanopar- ticle close to a surface, Physical Review A98, 053831 (2018)

2018
[20]

Tseng, T

Y.-H. Tseng, T. Penny, B. Siegel, J. Wang, and D. C. 12 Moore, Search for dark matter scattering from optically levitated nanoparticles, PRX Quantum6, 040367 (2025)

2025
[21]

E. B. Hogenauer, An economical class of digital filters for decimation and interpolation, IEEE Transactions on Acoustics, Speech, and Signal Processing29, 155 (1981)

1981
[22]

J. E. Volder, The CORDIC trigonometric computing tech- nique, IRE Transactions on Electronic ComputersEC-8, 330 (1959)

1959
[23]

G. B. Arfken, H. J. Weber, and F. E. Harris,Mathematical Methods for Physicists: A Comprehensive Guide, 7th ed. (Academic Press, Waltham, MA, 2013) Chap. 14, see Section 14.1, Generating Function

2013

Pith tools

Reviewed July 14, 2026 · model on record in the stance chip above.

[1] [1]

V. B. Braginsky and F. Y. Khalili,Quantum measurement (Cambridge University Press, 1995)

1995

[2] [2]

LIGO Scientific Collaboration, J. Aasi, B. P. Abbott, R. Abbott, T. Abbott, M. R. Abernathy,et al., Advanced LIGO, Classical and Quantum Gravity32, 074001 (2015)

2015

[3] [3]

B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari,et al., Observation of gravitational waves from a binary black hole merger, Physical review letters 116, 061102 (2016)

2016

[4] [4]

Aspelmeyer, T

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity optomechanics, Reviews of Modern Physics86, 1391 (2014)

2014

[5] [5]

Magrini, P

L. Magrini, P. Rosenzweig, C. Bach, A. Deutschmann- Olek, S. G. Hofer, S. Hong, N. Kiesel, A. Kugi, and M. Aspelmeyer, Real-time optimal quantum control of mechanical motion at room temperature, Nature595, 373 (2021)

2021

[6] [6]

Tebbenjohanns, M

F. Tebbenjohanns, M. L. Mattana, M. Rossi, M. Frim- mer, and L. Novotny, Quantum control of a nanoparticle optically levitated in cryogenic free space, Nature595, 378 (2021)

2021

[7] [7]

Iwasaki, T

M. Iwasaki, T. Yotsuya, T. Naruki, Y. Matsuda, M. Yoneda, and K. Aikawa, Electric feedback cooling of single charged nanoparticles in an optical trap, Physical Review A99, 051401 (2019)

2019

[8] [8]

Kremer, I

O. Kremer, I. Califrer, D. Tandeitnik, J. P. von der Weid, G. Tempor˜ ao, and T. Guerreiro, All-electrical cooling of an optically levitated nanoparticle, Physical Review Applied22, 024010 (2024)

2024