pith. sign in

arxiv: 2605.20180 · v1 · pith:TLI4ZD6Onew · submitted 2026-05-19 · 🪐 quant-ph · physics.app-ph· physics.optics

Beyond the Purcell Effect: Controlling Pure Quantum Dephasing with Spin Noise Metasurfaces

Wenbo Sun , Shoaib Mahmud , Wei Zhang , Runwei Zhou , Pronoy Das , Dan Jiao , Zubin Jacob This is my paper

Pith reviewed 2026-05-20 04:56 UTC · model grok-4.3

classification 🪐 quant-ph physics.app-phphysics.optics
keywords pure quantum dephasingspin noise metasurfacesnitrogen-vacancy centerslow-frequency photonic environmentdynamical decouplingnanophotonic controlCoFeB structures
0
0 comments X

The pith

Spin noise metasurfaces modify qubit pure dephasing by shaping low-frequency photonic environments far off resonance.

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

The paper shows how to engineer the pure dephasing of quantum spins or qubits using specially designed nanophotonic structures, rather than only controlling how fast they emit light. Pure dephasing occurs when a qubit loses its phase information through interactions with fluctuating electromagnetic fields at frequencies much lower than the qubit's natural transition frequency. The authors create ultra-subwavelength spin noise metasurfaces that efficiently reshape these low-frequency environments in a broadband way. Experiments with lithographically patterned CoFeB films near shallow nitrogen-vacancy centers in diamond demonstrate altered dephasing rates, and dynamical decoupling measurements separate the metasurface contribution from ordinary spin-bath noise. If correct, this adds a new tool for stabilizing quantum states without relying on resonant cavity effects.

Core claim

We introduce ultra-subwavelength spin noise metasurfaces for efficient broadband control of low-frequency photonic environments far off-resonant with atoms or spins, enabling dephasing engineering. Using lithographically defined CoFeB metasurfaces and shallow NV centers, we observe modified NV pure dephasing dynamics near different metasurfaces and isolate the metasurface-controlled component from other dephasing mechanisms by measuring the NV ensemble dephasing noise spectrum with dynamical decoupling spectral decomposition techniques.

What carries the argument

Spin noise metasurfaces: ultra-subwavelength structures that tailor the low-frequency electromagnetic environment to alter qubit pure dephasing rates.

If this is right

  • Pure dephasing rates of NV centers change measurably near the metasurfaces while spontaneous emission rates remain largely unaffected.
  • Dynamical decoupling spectral decomposition can separate metasurface-induced dephasing from spin-bath contributions.
  • Broadband control at megahertz frequencies becomes possible without requiring structures resonant at the qubit transition frequency.
  • Different metasurface designs produce distinct dephasing modifications, establishing a design handle beyond conventional cavity effects.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same metasurface principle could be adapted to suppress specific low-frequency noise spectra in other solid-state qubit platforms such as silicon spins or superconducting circuits.
  • Combining these structures with existing Purcell cavities might allow independent tuning of emission and dephasing channels within the same device.
  • Metasurface patterning rules derived here could guide targeted reduction of dephasing in dense qubit arrays where individual cavity engineering is impractical.

Load-bearing premise

The observed changes in NV dephasing arise from metasurface-mediated modification of the low-frequency photonic environment rather than from direct magnetic, material, or fabrication-induced interactions between the CoFeB structures and the NV centers.

What would settle it

If the dephasing noise spectrum measured by dynamical decoupling shows no metasurface-specific features at low frequencies, or if identical dephasing shifts appear when the CoFeB is replaced by a non-magnetic metallic film of similar geometry, the photonic-environment claim would be ruled out.

Figures

Figures reproduced from arXiv: 2605.20180 by Dan Jiao, Pronoy Das, Runwei Zhou, Shoaib Mahmud, Wei Zhang, Wenbo Sun, Zubin Jacob.

Figure 1
Figure 1. Figure 1: Tailoring pure quantum dephasing with structured nanophotonic environments. [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: Spin noise metasurfaces for pure quantum dephasing engineering. (a, b) Low [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Observing engineered spin dephasing dynamics near ultra-subwavelength spin [PITH_FULL_IMAGE:figures/full_fig_p006_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Isolating metasurface-engineered dephasing noise spectrum [PITH_FULL_IMAGE:figures/full_fig_p007_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: CPMG pulse sequences and spectral decomposition of [PITH_FULL_IMAGE:figures/full_fig_p009_5.png] view at source ↗
read the original abstract

One central theme in quantum photonics is tailoring the interactions between atoms/spins and their electromagnetic (EM) environments. Considerable effort has focused on engineering spontaneous emission by shaping EM environments, known as the Purcell effect. However, photonic environment control of pure dephasing, which is a complementary paradigm of non-unitary atom/spin couplings with EM environments, remains largely unexplored. Here, we introduce a nanophotonic approach to modify qubit pure dephasing dynamics. Unlike Purcell engineering that tailors photonic environments at qubit resonance frequencies (typically optical/near-infrared), we develop ultra-subwavelength spin noise metasurfaces for efficient broadband control of low-frequency (e.g., $\sim$MHz) photonic environments far off-resonant with atoms/spins for dephasing engineering. We experimentally demonstrate our approach using lithographically defined CoFeB metasurfaces and shallow nitrogen-vacancy (NV) centers in diamond. Instead of modified spontaneous emission, we observe modified NV pure dephasing dynamics near different spin noise metasurfaces. We further isolate metasurface-controlled dephasing from other dephasing mechanisms (e.g., spin bath) by measuring the NV ensemble dephasing noise spectrum with dynamical decoupling spectral decomposition techniques. Our results establish a new frontier in engineering quantum light-matter interactions with nanophotonic structures.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper introduces 'spin noise metasurfaces' fabricated from lithographically defined CoFeB to engineer the low-frequency (~MHz) photonic environment for controlling pure dephasing of shallow NV centers in diamond, distinct from the Purcell effect on spontaneous emission. The central experimental claim is that different metasurface designs modify NV pure dephasing dynamics, with dynamical decoupling spectral decomposition used to isolate the metasurface contribution from other mechanisms such as spin baths.

Significance. If the photonic-environment interpretation is rigorously established, the work opens a complementary route to quantum light-matter engineering at frequencies far detuned from qubit resonances, with potential relevance for decoherence control in quantum sensing and information processing. The experimental platform combining metasurfaces with NV centers is timely, but its impact hinges on quantitative separation of photonic DOS effects from material-specific magnetic noise.

major comments (2)
  1. [Abstract / Experimental Results] Abstract and experimental section: the claim that dynamical decoupling spectral decomposition isolates metasurface-controlled photonic dephasing requires explicit quantitative support (e.g., noise power spectral density curves, error bars, and direct comparisons with/without bias field or non-magnetic control structures). Without these, direct magnetic dipole coupling from ferromagnetic CoFeB domain fluctuations or lithographic edges cannot be excluded as the origin of the observed dephasing changes.
  2. [Discussion / Isolation of dephasing mechanisms] The weakest assumption—that observed dephasing shifts track the designed electromagnetic boundary conditions rather than the magnetic susceptibility or remanence of CoFeB—remains load-bearing. A concrete test (e.g., temperature-dependent measurements or comparison to paramagnetic control films) is needed to secure the photonic interpretation.
minor comments (2)
  1. [Introduction / Metasurface Design] Clarify the exact frequency range and bandwidth over which the metasurfaces are claimed to modify the photonic DOS; the abstract states 'broadband' but no explicit design curves or simulations are referenced.
  2. [Figures] Ensure all figures reporting dephasing times or noise spectra include sample sizes, number of repetitions, and statistical uncertainties.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments, which help clarify the presentation of our results on spin noise metasurfaces for controlling pure dephasing. We address each major comment below with specific responses and indicate planned revisions.

read point-by-point responses

  1. Referee: [Abstract / Experimental Results] Abstract and experimental section: the claim that dynamical decoupling spectral decomposition isolates metasurface-controlled photonic dephasing requires explicit quantitative support (e.g., noise power spectral density curves, error bars, and direct comparisons with/without bias field or non-magnetic control structures). Without these, direct magnetic dipole coupling from ferromagnetic CoFeB domain fluctuations or lithographic edges cannot be excluded as the origin of the observed dephasing changes.

    Authors: We agree that additional quantitative details will strengthen the isolation of the photonic contribution. In the revised manuscript, we will add the extracted noise power spectral density curves from the dynamical decoupling measurements for the different metasurface designs, including error bars from repeated measurements on multiple NV centers. We will also incorporate direct comparisons to control structures, including non-magnetic metasurfaces (e.g., dielectric or metallic non-ferromagnetic patterns) and data taken with and without applied bias fields. These controls show that the frequency-dependent dephasing shifts match the simulated low-frequency photonic density of states and do not follow the signatures expected from CoFeB magnetic domain fluctuations or edge effects, which would be largely bias-field independent and broadband. revision: yes

  2. Referee: [Discussion / Isolation of dephasing mechanisms] The weakest assumption—that observed dephasing shifts track the designed electromagnetic boundary conditions rather than the magnetic susceptibility or remanence of CoFeB—remains load-bearing. A concrete test (e.g., temperature-dependent measurements or comparison to paramagnetic control films) is needed to secure the photonic interpretation.

    Authors: We acknowledge that securing the photonic interpretation against material magnetic noise is essential. Our manuscript uses the spectral selectivity of dynamical decoupling to isolate the metasurface contribution, and the observed changes align with electromagnetic simulations of the low-frequency environment rather than bulk magnetic properties. We agree a concrete test would be valuable; temperature-dependent measurements are experimentally challenging at the cryogenic temperatures required for long NV coherence times, but we will add comparisons to paramagnetic control films (e.g., non-ferromagnetic paramagnetic layers) in the revised supplementary information where possible. We will also expand the discussion to include quantitative estimates showing that magnetic dipole coupling from CoFeB at the relevant NV-to-surface distances and MHz frequencies cannot account for the design-specific spectral shifts we observe. revision: partial

Circularity Check

0 steps flagged

No derivation chain present; experimental demonstration is self-contained

full rationale

The manuscript describes an experimental demonstration of metasurface-controlled NV dephasing using lithographically defined CoFeB structures and dynamical decoupling spectral decomposition to isolate contributions. No equations, ansatzes, fitted parameters, or predictions are introduced that reduce to the inputs by construction. Claims rest on measured dynamics rather than self-referential definitions or self-citation load-bearing steps, satisfying the criteria for a non-circular experimental result.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

The central claim rests on the introduction of a new metasurface concept and the assumption that it selectively modifies low-frequency photonic noise without introducing confounding interactions.

axioms (1)
  • domain assumption Spin noise metasurfaces can efficiently shape low-frequency photonic environments far off-resonant with the qubit transition frequencies.
    This premise is invoked to explain the observed dephasing modification but is not derived or independently verified in the abstract.
invented entities (1)
  • spin noise metasurfaces no independent evidence
    purpose: Broadband control of low-frequency photonic environments for engineering qubit pure dephasing
    New class of nanophotonic structure introduced in the work.

pith-pipeline@v0.9.0 · 5787 in / 1369 out tokens · 65000 ms · 2026-05-20T04:56:12.158081+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

What do these tags mean?
matches
The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends
The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses
The paper appears to rely on the theorem as machinery.
contradicts
The paper's claim conflicts with a theorem or certificate in the canon.
unclear
Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Reference graph

Works this paper leans on

97 extracted references · 97 canonical work pages

  1. [1]

    Light–matter interactions in quantum nanophotonic devices,

    A. González-Tudela, A. Reiserer, J. J. García-Ripoll, and F. J. García-Vidal, “Light–matter interactions in quantum nanophotonic devices,” Nat. Rev. Phys.6, 166–179 (2024)

    work page 2024

  2. [2]

    Quantum interface between light and atomic ensembles,

    K. Hammerer, A. S. Sørensen, and E. S. Polzik, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys.82, 1041–1093 (2010)

    work page 2010

  3. [3]

    Interfacing single photons and single quantum dots with photonic nanostructures,

    P. Lodahl, S. Mahmoodian, and S. Stobbe, “Interfacing single photons and single quantum dots with photonic nanostructures,” Rev. Mod. Phys.87, 347–400 (2015)

    work page 2015

  4. [4]

    Colloquium: Quantum matter built from nanoscopic lattices of atoms and photons,

    D. E. Chang, J. S. Douglas, A. González-Tudela,et al., “Colloquium: Quantum matter built from nanoscopic lattices of atoms and photons,” Rev. Mod. Phys.90, 031002 (2018)

    work page 2018

  5. [5]

    Metasurfaces for quantum photonics,

    A. S. Solntsev, G. S. Agarwal, and Y. S. Kivshar, “Metasurfaces for quantum photonics,” Nat. Photonics15, 327–336 (2021)

    work page 2021

  6. [6]

    Resonance absorption by nuclear magnetic moments in a solid,

    E. M. Purcell, H. C. Torrey, and R. V. Pound, “Resonance absorption by nuclear magnetic moments in a solid,” Phys. review69, 37 (1946)

    work page 1946

  7. [7]

    Theory for broadband large-area purcell enhancement,

    M. Benzaouia and S. Fan, “Theory for broadband large-area purcell enhancement,” ACS Photonics11, 2667–2672 (2024)

    work page 2024

  8. [8]

    Modifying magnetic dipole spontaneous emission with nanophotonic structures,

    D. G. Baranov, R. S. Savelev, S. V. Li,et al., “Modifying magnetic dipole spontaneous emission with nanophotonic structures,” Laser & Photonics Rev.11, 1600268 (2017)

    work page 2017

  9. [9]

    Quantum nanophotonics using hyperbolic metamaterials,

    C. Cortes, W. Newman, S. Molesky, and Z. Jacob, “Quantum nanophotonics using hyperbolic metamaterials,” J. Opt. 14, 063001 (2012)

    work page 2012

  10. [10]

    Hierarchical mean-field t operator bounds on electromagnetic scattering: Upper bounds on near-field radiative purcell enhancement,

    S. Molesky, P. Chao, and A. W. Rodriguez, “Hierarchical mean-field t operator bounds on electromagnetic scattering: Upper bounds on near-field radiative purcell enhancement,” Phys. Rev. Res.2, 043398 (2020)

    work page 2020

  11. [11]

    Nonlocality in photonic materials and metamaterials: roadmap,

    F. Monticone, N. A. Mortensen, A. I. Fernández-Domínguez,et al., “Nonlocality in photonic materials and metamaterials: roadmap,” Opt. Mater. Express15, 1544–1709 (2025)

    work page 2025

  12. [12]

    Roadmap for photonics with 2d materials,

    F. J. G. de Abajo, D. N. Basov, F. H. Koppens,et al., “Roadmap for photonics with 2d materials,” ACS photonics12, 3961–4095 (2025)

    work page 2025

  13. [13]

    Orchestrating spontaneous emission with metasurfaces: Recent advances in engineering thermal, luminescent, and quantum emissions,

    H. Yang, W. Mills, S. Bharadwaj,et al., “Orchestrating spontaneous emission with metasurfaces: Recent advances in engineering thermal, luminescent, and quantum emissions,” Adv. Opt. Mater.13, 2402755 (2025)

    work page 2025

  14. [14]

    Angular selection of transmitted light and enhanced spontaneous emission in grating-coupled hyperbolic metamaterials,

    D. Lee, M. Kim, J. Lee,et al., “Angular selection of transmitted light and enhanced spontaneous emission in grating-coupled hyperbolic metamaterials,” Opt. Express29, 21458–21472 (2021)

    work page 2021

  15. [15]

    Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations,

    A. S. Sheremet, M. I. Petrov, I. V. Iorsh,et al., “Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations,” Rev. Mod. Phys.95, 015002 (2023)

    work page 2023

  16. [16]

    Deterministic photon–emitter coupling in chiral photonic circuits,

    I. Söllner, S. Mahmoodian, S. L. Hansen,et al., “Deterministic photon–emitter coupling in chiral photonic circuits,” Nat. nanotechnology10, 775–778 (2015)

    work page 2015

  17. [17]

    Purcell-enhancedemissionsfromdiamondcolorcentersinslowlightphotonic crystal waveguides,

    S.W.Ding,C.Jin,K.Kuruma, etal.,“Purcell-enhancedemissionsfromdiamondcolorcentersinslowlightphotonic crystal waveguides,” Nano Lett.25, 12125–12131 (2025)

    work page 2025

  18. [18]

    Emission enhancement of erbium in a reverse nanofocusing waveguide,

    N. A. Güsken, M. Fu, M. Zapf,et al., “Emission enhancement of erbium in a reverse nanofocusing waveguide,” Nat. Commun.14, 2719 (2023)

    work page 2023

  19. [19]

    Possibility for inhibited spontaneous emission in electromagnetically open parity–time- symmetric guiding structures,

    Y. Hadad and N. Engheta, “Possibility for inhibited spontaneous emission in electromagnetically open parity–time- symmetric guiding structures,” Proc. National Acad. Sci.117, 5576–5581 (2020)

    work page 2020

  20. [20]

    Purcell-enhanced,directionallight–matterinteractioninawaveguide-coupled nanocavity,

    N.J.Martin,D.Hallett,M.Duda, etal.,“Purcell-enhanced,directionallight–matterinteractioninawaveguide-coupled nanocavity,” Optica12, 1100–1108 (2025)

    work page 2025

  21. [21]

    Long-range cooperative resonances in rare-earth ion arrays inside photonic resonators,

    D. Pak, A. Nandi, M. Titze,et al., “Long-range cooperative resonances in rare-earth ion arrays inside photonic resonators,” Commun. Phys.5, 89 (2022)

    work page 2022

  22. [22]

    Anomalous purcell decay of strongly driven inhomogeneous emitters coupled to a cavity,

    M. T. Solomon, M. Koppenhöfer, M. Mamaev,etal., “Anomalous purcell decay of strongly driven inhomogeneous emitters coupled to a cavity,” Opt. Quantum2, 196–205 (2024)

    work page 2024

  23. [23]

    Gain-compensated metal cavity modes and a million-fold improvement of purcell factors,

    B. VanDrunen, J. Ren, S. Franke, and S. Hughes, “Gain-compensated metal cavity modes and a million-fold improvement of purcell factors,” Opt. Quantum2, 85–90 (2024)

    work page 2024

  24. [24]

    Cavity-enhanced single artificial atoms in silicon,

    V. Saggio, C. Errando-Herranz, S. Gyger,etal., “Cavity-enhanced single artificial atoms in silicon,” Nat. Commun. 15, 5296 (2024)

    work page 2024

  25. [25]

    Purcell-induced bright single photon emitters in hexagonal boron nitride,

    M. A. Sakib, B. Triplett, W. Harris,etal., “Purcell-induced bright single photon emitters in hexagonal boron nitride,” Nano Lett.24, 12390–12397 (2024)

    work page 2024

  26. [26]

    Room-temperaturevalley-selectiveemissioninsi-mose2heterostructuresenabled by high-quality-factor chiroptical cavities,

    F.Pan,X.Li,A.C.Johnson, etal.,“Room-temperaturevalley-selectiveemissioninsi-mose2heterostructuresenabled by high-quality-factor chiroptical cavities,” Nat. Commun. (2025)

    work page 2025

  27. [27]

    Few-emitter lasing in single ultra-small nanocavities,

    O. S. Ojambati, K. B. Arnardóttir, B. W. Lovett,et al., “Few-emitter lasing in single ultra-small nanocavities,” Nanophotonics13, 2679–2686 (2024)

    work page 2024

  28. [28]

    A scalable cavity-based spin–photon interface in a photonic integrated circuit,

    K. C. Chen, I. Christen, H. Raniwala,etal., “A scalable cavity-based spin–photon interface in a photonic integrated circuit,” Opt. Quantum2, 124–132 (2024)

    work page 2024

  29. [29]

    Purcell enhancement of single-photon emitters in silicon,

    A. Gritsch, A. Ulanowski, and A. Reiserer, “Purcell enhancement of single-photon emitters in silicon,” Optica10, 783–789 (2023)

    work page 2023

  30. [30]

    Anintegrateddiamondnanophotonicsplatformforquantum-optical networks,

    A.Sipahigil,R.E.Evans,D.D.Sukachev, etal.,“Anintegrateddiamondnanophotonicsplatformforquantum-optical networks,” Science354, 847–850 (2016)

    work page 2016

  31. [31]

    Asymmetric surface plasmon polariton emission by a dipole emitter near a metal surface,

    J. B. Mueller and F. Capasso, “Asymmetric surface plasmon polariton emission by a dipole emitter near a metal surface,” Phys. Rev. B88, 121410 (2013)

    work page 2013

  32. [32]

    Shrinking light to allow forbidden transitions on the atomic scale,

    N. Rivera, I. Kaminer, B. Zhen,etal., “Shrinking light to allow forbidden transitions on the atomic scale,” Science 353, 263–269 (2016)

    work page 2016

  33. [33]

    Dynamically controlled purcell enhancement of visible spontaneous emission in a gated plasmonic heterostructure,

    Y.-J. Lu, R. Sokhoyan, W.-H. Cheng,etal., “Dynamically controlled purcell enhancement of visible spontaneous emission in a gated plasmonic heterostructure,” Nat. Commun.8, 1631 (2017)

    work page 2017

  34. [34]

    General theory of spontaneous emission near exceptional points,

    A. Pick, B. Zhen, O. D. Miller,etal., “General theory of spontaneous emission near exceptional points,” Opt. express 25, 12325–12348 (2017)

    work page 2017

  35. [35]

    Charge-depletion-enhanced wse2 quantum emitters on gold nanogap arrays with near-unity quantum efficiency,

    H. Cai, A. Rasmita, R. He,etal., “Charge-depletion-enhanced wse2 quantum emitters on gold nanogap arrays with near-unity quantum efficiency,” Nat. Photonics18, 842–847 (2024)

    work page 2024

  36. [36]

    Photoluminescence of gold nanorods: Purcell effect enhanced emission from hot carriers,

    Y.-Y. Cai, J. G. Liu, L. J. Tauzin,etal., “Photoluminescence of gold nanorods: Purcell effect enhanced emission from hot carriers,” Acs Nano12, 976–985 (2018)

    work page 2018

  37. [37]

    Fluctuation-induced forces on an atom near a photonic topological material,

    M. G. Silveirinha, S. A. H. Gangaraj, G. W. Hanson, and M. Antezza, “Fluctuation-induced forces on an atom near a photonic topological material,” Phys. Rev. A97, 022509 (2018)

    work page 2018

  38. [38]

    Quantum photonic interface for tin-vacancy centers in diamond,

    A. E. Rugar, S. Aghaeimeibodi, D. Riedel,etal., “Quantum photonic interface for tin-vacancy centers in diamond,” Phys. Rev. X11, 031021 (2021)

    work page 2021

  39. [39]

    Inhibited spontaneous emission in solid-state physics and electronics,

    E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. review letters58, 2059 (1987)

    work page 2059

  40. [40]

    Amplified emission and lasing in photonic time crystals,

    M. Lyubarov, Y. Lumer, A. Dikopoltsev,etal., “Amplified emission and lasing in photonic time crystals,” Science 377, 425–428 (2022)

    work page 2022

  41. [41]

    Spontaneous emission decay and excitation in photonic time crystals,

    J. Park, K. Lee, R.-Y. Zhang,etal., “Spontaneous emission decay and excitation in photonic time crystals,” Phys. Rev. Lett.135, 133801 (2025)

    work page 2025

  42. [42]

    Classical antennas, quantum emitters, and densities of optical states,

    W. L. Barnes, S. A. Horsley, and W. L. Vos, “Classical antennas, quantum emitters, and densities of optical states,” J. Opt.22, 073501 (2020)

    work page 2020

  43. [43]

    Spontaneous-emission control by photonic crystals and nanocavities,

    S. Noda, M. Fujita, and T. Asano, “Spontaneous-emission control by photonic crystals and nanocavities,” Nat. photonics1, 449–458 (2007)

    work page 2007

  44. [44]

    How to enhance dephasing time in superconducting qubits,

    Ł. Cywiński, R. M. Lutchyn, C. P. Nave, and S. Das Sarma, “How to enhance dephasing time in superconducting qubits,” Phys. Rev. B77, 174509 (2008)

    work page 2008

  45. [45]

    Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths,

    W. Yang, W.-L. Ma, and R.-B. Liu, “Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths,” Reports on Prog. Phys.80, 016001 (2016)

    work page 2016

  46. [46]

    Spectroscopy of surface-induced noise using shallow spins in diamond,

    Y. Romach, C. Müller, T. Unden,et al., “Spectroscopy of surface-induced noise using shallow spins in diamond,” Phys. review letters114, 017601 (2015)

    work page 2015

  47. [47]

    Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems,

    N. Bar-Gill, L. M. Pham, C. Belthangady,et al., “Suppression of spin-bath dynamics for improved coherence of multi-spin-qubit systems,” Nat. communications3, 858 (2012)

    work page 2012

  48. [48]

    Quantum noise spectroscopy of criticality in an atomically thin magnet,

    M. E. Ziffer, F. Machado, B. Ursprung,et al., “Quantum noise spectroscopy of criticality in an atomically thin magnet,” arXiv preprint arXiv:2407.05614 (2024)

    work page arXiv 2024

  49. [49]

    Quantumnoisespectroscopyofsuperconductingdynamicsinthinfilmbi2sr2cacu2o8,

    Z.Liu,R.Gong,J.Kim, etal.,“Quantumnoisespectroscopyofsuperconductingdynamicsinthinfilmbi2sr2cacu2o8,” arXiv preprint arXiv:2502.04439 (2025)

    work page arXiv 2025

  50. [50]

    Measuring the spectrum of colored noise by dynamical decoupling,

    G. A. Alvarez and D. Suter, “Measuring the spectrum of colored noise by dynamical decoupling,” Phys. Rev. Lett. 107, 230501 (2011)

    work page 2011

  51. [51]

    Environment-assisted quantum transport,

    P. Rebentrost, M. Mohseni, I. Kassal,et al., “Environment-assisted quantum transport,” New J. Phys.11, 033003 (2009)

    work page 2009

  52. [52]

    Dephasing enabled fast charging of quantum batteries,

    R. Shastri, C. Jiang, G.-H. Xu,etal., “Dephasing enabled fast charging of quantum batteries,” npj Quantum Inf.11, 9 (2025)

    work page 2025

  53. [53]

    Quantum biology,

    N. Lambert, Y.-N. Chen, Y.-C. Cheng,et al., “Quantum biology,” Nat. Phys.9, 10–18 (2013)

    work page 2013

  54. [54]

    Environment-assisted quantum transport in a 10-qubit network,

    C. Maier, T. Brydges, P. Jurcevic,et al., “Environment-assisted quantum transport in a 10-qubit network,” Phys. review letters122, 050501 (2019)

    work page 2019

  55. [55]

    Quantum noise spectroscopy of dynamical critical phenomena,

    F. Machado, E. A. Demler, N. Y. Yao, and S. Chatterjee, “Quantum noise spectroscopy of dynamical critical phenomena,” Phys. Rev. Lett.131, 070801 (2023)

    work page 2023

  56. [56]

    Nanophotonic superdephasing in collective atom-atom interactions,

    W. Sun, A. E. R. López, and Z. Jacob, “Nanophotonic superdephasing in collective atom-atom interactions,” Phys. Rev. Appl.23, 034069 (2025)

    work page 2025

  57. [57]

    Limits to quantum gate fidelity from near-field thermal and vacuum fluctuations,

    W. Sun, S. Bharadwaj, L.-P. Yang,et al., “Limits to quantum gate fidelity from near-field thermal and vacuum fluctuations,” Phys. Rev. Appl.19, 064038 (2023)

    work page 2023

  58. [58]

    Electromagnetic interactions of molecules with metal surfaces,

    G. W. Ford and W. H. Weber, “Electromagnetic interactions of molecules with metal surfaces,” Phys. Reports113, 195–287 (1984)

    work page 1984

  59. [59]

    Shaping the fluorescent emission by lattice resonances in plasmonic crystals of nanoantennas,

    G. Vecchi, V. Giannini, and J. Gómez Rivas, “Shaping the fluorescent emission by lattice resonances in plasmonic crystals of nanoantennas,” Phys. review letters102, 146807 (2009)

    work page 2009

  60. [60]

    Plasmonic surface lattice resonances: a review of properties and applications,

    V. G. Kravets, A. V. Kabashin, W. L. Barnes, and A. N. Grigorenko, “Plasmonic surface lattice resonances: a review of properties and applications,” Chem. reviews118, 5912–5951 (2018)

    work page 2018

  61. [61]

    B. D. Cullity and C. D. Graham,Introduction tomagnetic materials (John Wiley & Sons, 2011)

    work page 2011

  62. [62]

    Solutionoftheelectricfieldintegralequationwhenitbreaksdown,

    J.Zhu, S.Omar, andD.Jiao, “Solutionoftheelectricfieldintegralequationwhenitbreaksdown,” IEEEtransactions on antennas propagation62, 4122–4134 (2014)

    work page 2014

  63. [63]

    Computational electromagnetics meets spin qubits: Controlling noise effects in quantum sensing and computing,

    W. Sun, S. Bharadwaj, R. Zhou,etal., “Computational electromagnetics meets spin qubits: Controlling noise effects in quantum sensing and computing,” IEEE J. on Multiscale Multiphysics Comput. Tech.9, 290–302 (2024)

    work page 2024

  64. [64]

    S. Y. Buhmann, Dispersion Forces I: Macroscopic quantum electrodynamics and ground-state Casimir, Casimir–Polderand vanderWaalsforces, vol. 247 (Springer, 2013)

    work page 2013

  65. [65]

    Originsofdiamondsurfacenoiseprobedbycorrelatingsingle-spin measurements with surface spectroscopy,

    S.Sangtawesin,B.L.Dwyer,S.Srinivasan, etal.,“Originsofdiamondsurfacenoiseprobedbycorrelatingsingle-spin measurements with surface spectroscopy,” Phys. Rev. X9, 031052 (2019)

    work page 2019

  66. [66]

    Quantum sensing,

    C. L. Degen, F. Reinhard, and P. Cappellaro, “Quantum sensing,” Rev. modern physics89, 035002 (2017)

    work page 2017

  67. [67]

    Probing surface noise with depth-calibrated spins in diamond,

    B. A. Myers, A. Das, M. Dartiailh,et al., “Probing surface noise with depth-calibrated spins in diamond,” Phys. Rev. Lett.113, 027602 (2014)

    work page 2014

  68. [68]

    Decoherence of ensembles of nitrogen-vacancy centers in diamond,

    E. Bauch, S. Singh, J. Lee,et al., “Decoherence of ensembles of nitrogen-vacancy centers in diamond,” Phys. Rev. B 102, 134210 (2020)

    work page 2020

  69. [69]

    Universal dynamical decoupling of a single solid-state spin from a spin bath,

    D. Riste, V. Dobrovitski, and R. Hanson, “Universal dynamical decoupling of a single solid-state spin from a spin bath,” Science330, 60–63 (2010)

    work page 2010

  70. [70]

    Room-temperature manipulation and decoherence of a single spin in diamond,

    R. Hanson, O. Gywat, and D. Awschalom, “Room-temperature manipulation and decoherence of a single spin in diamond,” Phys. Rev. B74, 161203 (2006)

    work page 2006

  71. [71]

    Coherent dynamics of coupled electron and nuclear spin qubits in diamond,

    L. Childress, M. Gurudev Dutt, J. Taylor,etal., “Coherent dynamics of coupled electron and nuclear spin qubits in diamond,” Science314, 281–285 (2006)

    work page 2006

  72. [72]

    Magnetometry with nitrogen-vacancy defects in diamond,

    L. Rondin, J.-P. Tetienne, T. Hingant,et al., “Magnetometry with nitrogen-vacancy defects in diamond,” Reports on progress physics77, 056503 (2014)

    work page 2014

  73. [73]

    Controlandlocalmeasurementofthespinchemicalpotentialinamagnetic insulator,

    C.Du, T.VanderSar, T.X.Zhou, etal., “Controlandlocalmeasurementofthespinchemicalpotentialinamagnetic insulator,” Science357, 195–198 (2017)

    work page 2017

  74. [74]

    Quantum imaging of photonic spin texture in an oam beam with nv centers in diamond,

    S. Mahmud, W. Zhang, F. Kalhor,et al., “Quantum imaging of photonic spin texture in an oam beam with nv centers in diamond,” New J. Phys.27, 054102 (2025)

    work page 2025

  75. [75]

    Tailoring spin defects in diamond by lattice charging,

    F. Fávaro de Oliveira, D. Antonov, Y. Wang,et al., “Tailoring spin defects in diamond by lattice charging,” Nat. communications8, 15409 (2017)

    work page 2017

  76. [76]

    Thickness dependence of magnetic anisotropy and domains in amorphous co40fe40b20 thin films grown on pet flexible substrates,

    Z. Tang, H. Ni, B. Lu,etal., “Thickness dependence of magnetic anisotropy and domains in amorphous co40fe40b20 thin films grown on pet flexible substrates,” J. Magn. Magn. Mater.426, 444–449 (2017)

    work page 2017

  77. [77]

    Anisotropy and domain structure in nanoscale-thick mos2/cofeb heterostructures: Implications for transition metal dichalcogenide-based thin films,

    V. Thiruvengadam, A. Mishra, S. Mohanty, and S. Bedanta, “Anisotropy and domain structure in nanoscale-thick mos2/cofeb heterostructures: Implications for transition metal dichalcogenide-based thin films,” ACS Appl. Nano Mater.5, 10645–10651 (2022)

    work page 2022

  78. [78]

    Dephasing-assisted transport: quantum networks and biomolecules,

    M. B. Plenio and S. F. Huelga, “Dephasing-assisted transport: quantum networks and biomolecules,” New J. Phys. 10, 113019 (2008)

    work page 2008

  79. [79]

    Environment-assisted quantum transport of excitons in perovskite nanocrystal superlattices,

    D. D. Blach, V. A. Lumsargis-Roth, C. Chuang,et al., “Environment-assisted quantum transport of excitons in perovskite nanocrystal superlattices,” Nat. communications16, 1270 (2025)

    work page 2025

  80. [80]

    Heat transport in the xxz spin chain: from ballistic to diffusive regimes and dephasing enhancement,

    J. Mendoza-Arenas, S. Al-Assam, S. Clark, and D. Jaksch, “Heat transport in the xxz spin chain: from ballistic to diffusive regimes and dephasing enhancement,” J. Stat. Mech. Theory Exp.2013, P07007 (2013)

    work page 2013

Showing first 80 references.