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REVIEW 3 major objections 4 minor 149 references

Fluctuational Quantum Electrodynamics of Dispersive Time-Varying Media

T0 review · 3 major / 4 minor · reviewed 2026-08-01 · deepseek-v4-flash

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Pith's one-line read The paper extends the fluctuation-dissipation theorem to two frequencies, yielding the first consistent quantization of the electromagnetic field in dispersive, lossy, time-varying media.

desk verdict Two-frequency FDT and exact Floquet quantization are new, but the quantum-classical proof has a factor-of-2 error. read the letter →

arxiv 2607.22340 v1 pith:YLWDMP4Z submitted 2026-07-24 physics.optics quant-ph

Jaime E. Sustaeta-Osuna , Thomas F. Allard , Francisco J. García-Vidal , Paloma A. Huidobro This is my paper
classification physics.opticsquant-ph
keywords fluctuationalquantumelectrodynamicstime-varyingmediafluctuation-dissipationtheoremFermiGoldenRulelocaldensityofstatesdynamicalCasimireffectthermalradiationpolaritons
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

The paper develops the theoretical framework of fluctuational quantum electrodynamics for materials whose optical properties are modulated in time, without assuming the modulation is weak, lossless, or dispersionless. Its central move is to extend the fluctuation-dissipation theorem to a two-frequency form: the commutator of polarization fluctuations at two frequencies is set by the anti-Hermitian part of a two-frequency permittivity. From that identity the authors derive canonical field commutation relations, a two-frequency Green's dyadic, a Fermi Golden Rule for spontaneous decay and excitation, and a local density of states that can become negative, indicating gain. They apply the formalism to modulated half-spaces, showing that dispersion and dissipation change predictions for heat emission and vacuum amplification compared with earlier non-dispersive models.

What carries the argument

The load-bearing object is the two-frequency fluctuation-dissipation theorem, Eq. (9). Supporting it are the loss kernel K(r,ω;r′,ω′), which maps macroscopic polarization to bosonic polariton operators and must satisfy the sign-weighted integral of Eq. (6), and the two-frequency Green's dyadic G(r,ω;r′,ω′), which solves a wave equation non-local in frequency. The dressed Green's dyadic convolves the Green's dyadic with the loss kernel and contains squeezing-type couplings to negative frequencies. For periodic modulation, a Floquet representation organizes the theory into a Cartesian-Floquet tensor formalism.

What would settle it

Measure the polarization commutator [P(r,ω), P†(r′,ω′)] in a rapidly modulated dissipative medium with nonlinear or saturable absorption; if it differs from 2ℏε0 ε″(r,ω;r′,ω′) in the linear-response regime, the central identity fails. Equivalently, place a two-level emitter near a fast-modulated ITO film and look for the predicted negative local density of states, i.e., spontaneous excitation, around the Ω−ω_SP replica; its absence would falsify the theory.

Watch

Extended reading notes

Core claim

The paper's load-bearing result is the two-frequency fluctuation-dissipation identity, Eq. (9): [P(r,ω), P†(r′,ω′)] = 2ℏε0 ε″(r,ω;r′,ω′). This identity determines the field commutators and, through the loss kernel and dressed Green's dyadic, fixes all one- and two-time correlation functions. On this basis the paper defines the local density of states for time-varying media, proves that the quantum Fermi Golden Rule rate equals the classically radiated power of a harmonic point dipole, and shows that time modulation induces both loss and gain.

Load-bearing premise

The entire construction relies on the assumption that a time-modulated material's dissipative response can be described by a Hermitian, time-dependent bilinear Hamiltonian whose canonical variables can be initially quantized as bosonic polaritons.

Editorial extensions

If this is right

  • The local density of states in a time-varying medium is well defined and can become negative, so a ground-state emitter can spontaneously excite.
  • The quantum Fermi Golden Rule and the classically radiated power of a harmonic point dipole are equivalent, with total power equal to (ℏω/2) times the net rate.
  • Neglecting dispersion and dissipation in the time modulation leads to erroneous predictions, including misplaced Floquet sidebands and overestimated high-frequency coupling.
  • Thermal radiation from a modulated polar half-space is super-Planckian at surface-phonon sidebands in near and intermediate fields, with no enhancement at epsilon-near-zero sidebands.
  • The dynamical Casimir effect requires fast modulation to couple positive and negative frequencies; in unstable regimes the linear theory is valid only for times much shorter than the inverse growth rate.
  • If the central identity is correct, any noise-current model of time-varying media must use two-frequency fluctuations; using equilibrium fluctuations would misestimate emission and thermal radiation.
  • A direct test would be to look for predicted spontaneous excitation of a ground-state emitter near a fast-modulated epsilon-near-zero film around the negative-frequency replica of the surface plasmon.
  • The quantization may fail for nonlinear or non-Hermitian dissipation because the construction assumes a Hermitian bilinear Hamiltonian.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

3 major / 4 minor

Summary. The paper develops a macroscopic quantum-electrodynamics formalism for frequency-dispersive, dissipative, time-varying media. The authors extend Kubo linear response to a two-frequency fluctuation-dissipation theorem, introduce polaritonic noise operators and a loss kernel, quantize the electromagnetic field, and verify the equal-time commutator [E,B]. For Floquet modulations they derive a generalized Fermi Golden Rule, define a local density of states, and apply the formalism to a polar-insulator half-space (slow modulation) and a plasmonic half-space (fast modulation). They further compute thermal radiation spectra and dynamical Casimir correlations, including two-polariton processes, and compare dispersive vs non-dispersive temporal modulations.

Significance. If correct, this is a substantial contribution: it provides a non-perturbative framework for quantum fluctuations in time-modulated absorbing/dispersive media, with concrete predictions for LDOS, thermal emission, and the dynamical Casimir effect. The formal derivations of the two-frequency FDT, the Green's dyadic integral identity, and the equal-time commutator are careful and constitute a useful extension of macroscopic QED. The use of experimentally motivated material parameters (SiC, ITO) and the explicit contrast between dispersive and non-dispersive modulations strengthen the paper. However, the advertised quantum-classical equivalence contains a factor-of-2 error, and the unstable-regime correlation functions are not well defined as presented; both issues affect central claims and require revision.

major comments (3)
  1. [Sec. III, Eq. (24); SM Eq. (51)] The classical time-averaged emitted power is off by a factor of 2. For J(t)=Re[-iω_d d e^{-iω_d t}]δ(r-r_d) and E(t)=Re[μ0ω_d² G_{nd,nd} e^{-iω_d t}·d], the time average of ∫J·E is -(1/2) μ0ω_d³ d*·G″·d; the emitted power is its negative, i.e., (1/2) μ0ω_d³ d*·G″·d. Eq. (24) and SM Eq. (51) omit this 1/2 (and use a sign convention for P that needs to be stated as emitted power). Consequently P_tot=(ℏω_d/4)Γ_tot, not (ℏω_d/2)Γ_tot; in free space the formula gives a Larmor denominator of 6π instead of 12π. This is not a normalization convention and affects a result advertised in the abstract and conclusions, so it must be corrected.
  2. [Sec. IV B, Figs. 5(a2)-(b2)] The manuscript itself states that in the unstable regime 'the Fourier transform of the electromagnetic field does not strictly exist and thus, neither do the frequency-domain correlation functions in Eqs. (38), (39).' Nevertheless, Figs. 5(a2)-(b2) present exactly those correlation functions for α=0.3 and interpret them as dynamical Casimir signatures. With Green's-function poles at Im(ω)>0, the frequency-domain correlation functions diverge unless a regularization is specified. Please either restrict the DCE correlation analysis to the stable regime (α=0.2) or explicitly define a finite-time/regularization prescription under which the α=0.3 curves are computed.
  3. [SM Sec. 4; Figs. 2-5] The numerical implementation truncates the Floquet matrix to a finite number of bands (-N_F ≤ n,n' ≤ N_F), but no convergence tests or truncation order are reported. Since the paper claims an exact, non-perturbative treatment, the quantitative predictions — sideband amplitudes in Fig. 2, negative-LDOS regions and pole positions in Fig. 3, and correlation amplitudes in Fig. 5 — require a statement of N_F and evidence that truncation does not alter the conclusions.
minor comments (4)
  1. [Sec. II A] The notation G″ / G'' is used without defining whether double prime means the anti-Hermitian part or the complex conjugate. Please define it explicitly where the Green's dyadic is introduced.
  2. [Sec. III B] The stability criterion based on eigenvalues of G^(scatt)_TM should be stated more explicitly (e.g., a pole crossing Im(ω)=0 defines the onset of instability). In Figs. 3(b1)-(b2), the color scale and normalization are not defined.
  3. [Sec. III, after Eq. (24)] The sentence stating that the quantum-classical equivalence 'holds true for any profile of the temporal modulation' is in tension with the immediately following statement that P_tot and the LDOS are 'not well-defined for a general time modulation.' Please clarify that the total emitted energy is the well-defined quantity for non-periodic modulations, while power and rate require periodicity.
  4. [Abstract / SM Sec. 1] The 'first consistent quantization' claim should be qualified: the construction relies on the assumed existence of a Hermitian, bilinear bath Hamiltonian (SM §1) and initial canonical quantization. This is standard for linear media, but it is an assumption and should be stated as such in the main text rather than implied as a fully general result.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity: the FDT and polariton quantization are derived from an explicit bilinear-Hamiltonian micro-model, and the numerical predictions are computed from literature material parameters rather than fitted to target outputs.

full rationale

The derivation chain is self-contained. Eq. (9) is not assumed as a two-frequency FDT outright; the SM derives it by Fourier-transforming Kubo's formula (SM Eq. 4). The bosonic polariton/loss-kernel representation is justified in SM §1 from an explicit, stated bilinear Hamiltonian in canonical variables, and Eq. (6) follows by substituting that representation into the FDT rather than being imposed as an ad hoc factorization. The dressed Green's dyadic (18) is a definition used to eliminate the loss kernel, and the FGR rates (21) are obtained by first-order perturbation theory. Equation (22) follows from the Green's-dyadic integral identity (13), which is itself derived in SM §2, together with (6) and (18); this is a derived identity, not an input-output equivalence by construction. The classical power (24) is an independent calculation using the same Green's dyadic, so the claimed P=(ℏω/2)Γ is a derived correspondence rather than a fitted or definitional one. The numerical results (LDOS, thermal spectra, DCE correlations) are evaluated from the specified Floquet permittivities with literature parameters for SiC and ITO, and are not fitted to the predicted quantities. The self-citations to the authors' earlier PRLs [40,41] for stability and Green's-dyadic details are not load-bearing: the present SM contains the needed derivations, and the pole structure is independently recomputed in Fig. 3(b). Any factor-of-two issue in Eq. (24) would be a correctness concern, not a circularity, because it does not arise from renaming an input as a prediction.

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

The central claim rests on a microscopic bilinear Hamiltonian representation, an out-of-equilibrium FDT, and a stability condition; no parameters are fitted to the target results.

assumptions (4)
  • domain assumption Material response is linear and describable by a Hermitian bilinear Hamiltonian in canonical variables (Q, Π) whose initial quantization gives bosonic polaritons.
    SM §1, Eqs. (5)-(11). Required to introduce polaritons f(r,ω) and loss kernel K.
  • domain assumption Kubo linear-response formula and the initial equilibrium density matrix apply to the time-modulated system; the two-frequency susceptibility defines the field fluctuations via Eq. (9).
    Sec. II.A, Eqs. (1)-(3). This extends FDT to non-equilibrium (time-modulated) media.
  • domain assumption The time-modulated system is in a stable phase (poles in Im ω<0); in unstable phases, the linear theory is only valid for t≪1/max[Im ω_pole].
    Sec. III.B and Sec. IV.B; acknowledged by authors.
  • standard math Weak-coupling, first-order perturbation theory for the probe emitter (Fermi Golden Rule) is valid.
    Sec. III; standard Wigner-Weisskopf approach in macroscopic QED.

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Cite this review

Pith. "Pith review of Fluctuational Quantum Electrodynamics of Dispersive Time-Varying Media." pith.science (2026). https://pith.science/paper/YLWDMP4Z

@misc{pith2026260722340,
  author       = {Pith},
  title        = {Pith review of: Fluctuational Quantum Electrodynamics of Dispersive Time-Varying Media},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/YLWDMP4Z}},
  note         = {Machine review of arXiv:2607.22340}
}
read the original abstract

We present the theoretical framework of fluctuational quantum electrodynamics in frequency-dispersive and dissipative time-varying media. Our theory accounts for dispersion and losses in the temporal modulation, which is treated in an exact manner, without relying on perturbative methods. Thus, our work constitutes the first consistent quantization of the electromagnetic field in time-modulated material bodies. We derive a Fermi Golden Rule for time-varying media and use it to define the local density of states for these time-dependent systems, which includes both loss and gain contributions. Additionally, we prove the equivalence between the quantum Fermi Golden Rule and the power emitted by a classical harmonic point dipole. Moreover, we show that neglecting the dispersive and dissipative nature of the time modulation leads to erroneous predictions for both slow and fast modulations. Furthermore, we analyze the thermal radiation emitted by a time-varying material body, revealing new features in the enhancement of thermal emission in time-varying media. Finally, we study the dynamical Casimir effect, showing how the time modulation amplifies vacuum fluctuations and generates entangled pairs of polaritons exhibiting non-local spatial correlations.

Figures

Figures reproduced from arXiv: 2607.22340 by the authors.

Figure 1
Figure 1. FIG. 1: Diagram of a frequency-dispersive, dissipative [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2: LDOS for slowly driven polar insulator half-space. (a1)-(a2) Momentum-resolved [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. FIG. 3: LDOS for fast driven plasmonic half-space. (a1)-(a2) Momentum-resolved [PITH_FULL_IMAGE:figures/full_fig_p010_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: FIG. 4: Thermal radiation in a time-modulated polar insulator. The panels show the spectral density [PITH_FULL_IMAGE:figures/full_fig_p013_4.png]
Figure 5
Figure 5. Figure 5: FIG. 5: Dynamical Casimir effect in a time-modulated plasmonic medium. The panels show the first order correlation [PITH_FULL_IMAGE:figures/full_fig_p015_5.png]

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Works this paper leans on

149 extracted references · 1 canonical work pages

  1. [1]

    Irreversibility and generalized noise , author=. Phys. Rev. , volume=. 1951 , publisher=

    1951

  2. [2]

    The fluctuation-dissipation theorem , author=. Rep. Prog. Phys. , volume=. 1966 , doi =

    1966

  3. [3]

    2012 , edition =

    Principles of nano-optics , author=. 2012 , edition =

    2012

  4. [4]

    Enhancement and quenching of single-molecule fluorescence , author=. Phys. Rev. Lett. , volume=. 2006 , publisher=

    2006

  5. [5]

    2011 , publisher =

    Statistical Mechanics , author =. 2011 , publisher =

    2011

  6. [6]

    2012 , publisher =

    Open Quantum Systems: An Introduction , author =. 2012 , publisher =

    2012

  7. [7]

    2007 , publisher =

    The Theory of Open Quantum Systems , author =. 2007 , publisher =

    2007

  8. [8]

    2005 , publisher =

    A Modern Introduction to Quantum Field Theory , author =. 2005 , publisher =

    2005

Show all 149 references
  1. [9]

    2013 , publisher =

    Dispersion Forces I: Macroscopic Quantum Electrodynamics and Ground-State Casimir, Casimir--Polder and van der Waals Forces , author =. 2013 , publisher =

    2013

  2. [10]

    Acta Phys

    Macroscopic quantum electrodynamics-concepts and applications , author=. Acta Phys. Slovaca , volume=. 2008 , doi =

    2008

  3. [11]

    1989 , publisher =

    Principles of Statistical Radiophysics 3: Elements of Random Fields , author =. 1989 , publisher =

    1989

  4. [12]

    Theory of the contribution of excitons to the complex dielectric constant of crystals , author=. Phys. Rev. , volume=. 1958 , publisher=

    1958

  5. [13]

    Quantization of the electromagnetic field in dielectrics , author=. Phys. Rev. A , volume=. 1992 , publisher=

    1992

  6. [14]

    Electromagnetic field quantization in amplifying dielectrics , author=. Phys. Rev. A , volume=. 1997 , publisher=

    1997

  7. [15]

    Quantum theory of light in nonlinear media with dispersion and absorption , author=. J. Mod. Opt. , volume=. 1998 , publisher=

    1998

  8. [16]

    2002 , publisher =

    Methods in Theoretical Quantum Optics , author =. 2002 , publisher =

    2002

  9. [17]

    Quantum theory of light and noise polarization in nonlinear optics , author=. Phys. Rev. Lett. , volume=. 2006 , publisher=

    2006

  10. [18]

    Canonical quantization of macroscopic electromagnetism , author=. New J. Phys. , volume=. 2010 , doi =

    2010

  11. [19]

    Fermi’s golden rule for spontaneous emission in absorptive and amplifying media , author=. Phys. Rev. Lett. , volume=. 2021 , publisher=

    2021

  12. [20]

    Gain-modified emission dynamics between two quantum emitters in a plasmonic gain cavity system , author=. Phy. Rev. A , volume=. 2025 , publisher=

    2025

  13. [21]

    2017 , publisher =

    Modern Quantum Mechanics , author =. 2017 , publisher =

    2017

  14. [22]

    Langevin noise approach for lossy media and the lossless limit , author=. J. Opt. Soc. Am. B , volume=. 2021 , publisher=

    2021

  15. [23]

    Spontaneous emission decay and excitation in photonic time crystals , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  16. [24]

    Analogs of spontaneous emission and lasing in photonic time crystals , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  17. [25]

    arXiv preprint arXiv:2605.05649 , year=

    Self-organized photonic time quasicrystal from a single imposed clock , author=. arXiv preprint arXiv:2605.05649 , year=

    arXiv

  18. [26]

    arXiv preprint arXiv:2601.17369 , year=

    Classical Petermann Factor as a Measure of Quantum Squeezing in Photonic Time Crystals , author=. arXiv preprint arXiv:2601.17369 , year=

    arXiv

  19. [27]

    Quantum electrodynamics of photonic time crystals , author=. Nat. Comm. , year=

  20. [28]

    Casimir light in dispersive nanophotonics , author=. Phys. Rev. Lett. , volume=. 2021 , publisher=

    2021

  21. [29]

    ACS Photonics , volume=

    Optical properties of dispersive time-dependent materials , author=. ACS Photonics , volume=. 2024 , publisher=

    2024

  22. [30]

    Manipulating coherence of near-field thermal radiation in time-modulated systems , author=. Phys. Rev. Lett. , volume=. 2023 , publisher=

    2023

  23. [31]

    Near-field dynamical Casimir effect , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  24. [32]

    Clarification of

    Ren, Yuhua and Pan, Hui and Wang, Jian-Sheng , journal=. Clarification of. 2026 , publisher=

    2026

  25. [33]

    Enhancing far-field thermal radiation by Floquet engineering , author=. Phys. Rev. B , volume=. 2026 , publisher=

    2026

  26. [34]

    Incandescent temporal metamaterials , author=. Nat. Comm. , volume=. 2023 , publisher=

    2023

  27. [35]

    Synthetic crystal rotation with spacetime metamaterials , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  28. [36]

    arXiv preprint arXiv:2602.03243 , year=

    Generalized Time-Varying Drude Model for Dispersive and Lossy Modulations , author=. arXiv preprint arXiv:2602.03243 , year=

  29. [37]

    Dispersion effects in thermal emission from temporal metamaterials: high-frequency cutoffs , author=. Opt. Letts. , volume=. 2025 , publisher=

    2025

  30. [38]

    Quantum electrodynamics of time-varying gratings , author=. Proc. Natl. Acad. Sci. , volume=. 2023 , publisher=

    2023

  31. [39]

    Macroscopic QED and noise currents in time-varying media , author=. Phys. Rev. A , volume=. 2025 , publisher=

    2025

  32. [40]

    Traveling Wave Amplification in Stationary Gratings , author=. Phys. Rev. Lett. , volume=. 2024 , publisher=

    2024

  33. [41]

    Colloquium: Stimulating uncertainty: Amplifying the quantum vacuum with superconducting circuits , author=. Rev. Mod. Phys. , volume=. 2012 , publisher=

    2012

  34. [42]

    Dynamical Casimir effect in a Josephson metamaterial , author=. Proc. Natl. Acad. Sci. , volume=. 2013 , publisher=

    2013

  35. [43]

    1999 , publisher =

    Classical Electrodynamics , author =. 1999 , publisher =

    1999

  36. [44]

    Broadband dipole absorption in dispersive photonic time crystals , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  37. [45]

    Near-field gain and far-field control via a plasmonic time crystal slab , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  38. [46]

    ACS Photonics , volume=

    Quantum theory of photon pair creation in photonic time crystals , author=. ACS Photonics , volume=. 2025 , publisher=

    2025

  39. [47]

    General theory of nonlinear macroscopic quantum electrodynamics , howpublished =

    Sustaeta-Osuna, Jaime E and Allard, Thomas F and Garc. General theory of nonlinear macroscopic quantum electrodynamics , howpublished =

  40. [48]

    2019 , publisher =

    Modern Condensed Matter Physics , author =. 2019 , publisher =

    2019

  41. [49]

    2000 , doi =

    Rodney Loudon , title =. 2000 , doi =

    2000

  42. [50]

    Influence of a dielectric interface on fluorescence decay time , author=. J. Lumin. , volume=. 1970 , publisher=

    1970

  43. [51]

    Optical coherent perfect absorption and amplification in a time-varying medium , author=. Nat. Photon. , year=

  44. [52]

    Photonics of time-varying media , author=. Adv. Phot. , volume=. 2022 , publisher=

    2022

  45. [53]

    Nature Physics , volume=

    Broadband coherent wave control through photonic collisions at time interfaces , author=. Nature Physics , volume=. 2023 , publisher=

    2023

  46. [54]

    Broadband frequency translation through time refraction in an epsilon-near-zero material , author=. Nat. Commun. , volume=. 2020 , publisher=

    2020

  47. [55]

    Nonlinear optical effects in epsilon-near-zero media , author=. Nat. Rev. Mater. , volume=. 2019 , publisher=

    2019

  48. [56]

    Beyond the perturbative description of the nonlinear optical response of low-index materials , author=. Opt. Lett. , volume=. 2017 , publisher=

    2017

  49. [57]

    Saturable time-varying mirror based on an epsilon-near-zero material , author=. Phys. Rev. Appl. , volume=. 2022 , publisher=

    2022

  50. [58]

    Space-time optical diffraction from synthetic motion , author=. Nat. Commun. , volume=. 2025 , publisher=

    2025

  51. [59]

    Double-slit time diffraction at optical frequencies , author=. Nat. Phys. , volume=. 2023 , publisher=

    2023

  52. [60]

    arXiv preprint arXiv:2605.21432 , year=

    Intraband and Interband Competition Drives Ultrafast Modulations of Indium Tin Oxide , author=. arXiv preprint arXiv:2605.21432 , year=

    arXiv

  53. [62]

    Pseudounitary Floquet scattering matrix for wave-front shaping in time-periodic photonic media , author=. Phys. Rev. A , volume=. 2024 , publisher=

    2024

  54. [63]

    Science , volume=

    Complex-frequency excitations in photonics and wave physics , author=. Science , volume=. 2025 , publisher=

    2025

  55. [64]

    Observation of temporal reflection and broadband frequency translation at photonic time interfaces , author=. Nat. Phys. , volume=. 2023 , publisher=

    2023

  56. [65]

    Symmetry breaking and spatiotemporal pattern formation in photonic time crystals , author=. Phys. Rev. A , volume=. 2025 , publisher=

    2025

  57. [66]

    Plasmonics: From Basics to Advanced Topics , pages=

    Introduction to surface plasmon theory , author=. Plasmonics: From Basics to Advanced Topics , pages=. 2012 , publisher=

    2012

  58. [67]

    Near-field effects in spatial coherence of thermal sources , author=. Phys. Rev. Lett. , volume=. 1999 , publisher=

    1999

  59. [68]

    Near-field spectral effects due to electromagnetic surface excitations , author=. Phys. Rev. Lett. , volume=. 2000 , publisher=

    2000

  60. [69]

    Quantum vacuum amplification in time-varying media with arbitrary temporal profiles , author=. Phys. Rev. Res. , volume=. 2024 , publisher=

    2024

  61. [70]

    Science , volume=

    Amplified emission and lasing in photonic time crystals , author=. Science , volume=. 2022 , publisher=

    2022

  62. [71]

    arXiv preprint arXiv:2605.15632 , year=

    About Time: Observation of Time-Reflection at Optical Frequencies , author=. arXiv preprint arXiv:2605.15632 , year=

  63. [72]

    Light emission by free electrons in photonic time-crystals , author=. Proc. Natl. Acad. Sci. , volume=. 2022 , publisher=

    2022

  64. [73]

    arXiv preprint arXiv:2511.17317 , year=

    Aspects of quantum geometry in photonic time crystals , author=. arXiv preprint arXiv:2511.17317 , year=

  65. [74]

    Quantum theory of time refraction , author=. Phys. Rev. A , volume=. 2000 , publisher=

    2000

  66. [75]

    arXiv preprint arXiv:2510.02845 , year=

    Plasmonic metamaterial time crystal , author=. arXiv preprint arXiv:2510.02845 , year=

  67. [76]

    Terahertz amplification and lasing in pump-probe experiments with hyperbolic polaritons in h-BN , author=. Phys. Rev. B , volume=. 2026 , publisher=

    2026

  68. [77]

    Generalized Fresnel-Floquet equations for driven quantum materials , author=. Phys. Rev. B , volume=. 2022 , publisher=

    2022

  69. [78]

    Terahertz-driven parametric excitation of Raman-active phonons in LaAlO 3 , author=. Phys. Rev. Lett. , volume=. 2026 , publisher=

    2026

  70. [79]

    Optical time reversal from time-dependent epsilon-near-zero media , author=. Phys. Rev. Lett. , volume=. 2018 , publisher=

    2018

  71. [80]

    Photonic time crystals: from fundamental insights to novel applications: opinion , author=. Opt. Mater. Express , volume=. 2024 , publisher=

    2024

  72. [81]

    Spontaneous emission probabilities at radio frequency , author=. Phys. Pev. , volume=. 1946 , doi =

    1946

  73. [82]

    Metasurface-based realization of photonic time crystals , author=. Sci. Adv. , volume=. 2023 , publisher=

    2023

  74. [83]

    Frequency conversion cascade by crossing multiple space and time interfaces , author=. Phys. Rev. Lett. , volume=. 2022 , publisher=

    2022

  75. [84]

    Plasma losses by fast electrons in thin films , author=. Phys. Rev. , volume=. 1957 , publisher=

    1957

  76. [85]

    Excitation of nonradiative surface plasma waves in silver by the method of frustrated total reflection , author=. Z. Phys. A , volume=. 1968 , publisher=

    1968

  77. [86]

    Nature , volume=

    Surface plasmon subwavelength optics , author=. Nature , volume=. 2003 , publisher=

    2003

  78. [87]

    Electromagnetic interactions of molecules with metal surfaces , author=. Phys. Rep. , volume=. 1984 , publisher=

    1984

  79. [88]

    Fluorescence near interfaces: The role of photonic mode density , author=. J. Mod. Opt. , volume=. 1998 , publisher=

    1998

  80. [89]

    Optica , volume=

    Spatiotemporal refraction of light in an epsilon-near-zero indium tin oxide layer: frequency shifting effects arising from interfaces , author=. Optica , volume=. 2021 , publisher=

    2021

  81. [90]

    All-optical switching of an epsilon-near-zero plasmon resonance in indium tin oxide , author=. Nat. Commun. , volume=. 2021 , publisher=

    2021

  82. [91]

    Science , volume=

    Four-dimensional optics using time-varying metamaterials , author=. Science , volume=. 2023 , publisher=

    2023

  83. [92]

    Fresnel drag in space--time-modulated metamaterials , author=. Proc. Natl. Acad. Sci. , volume=. 2019 , publisher=

    2019

  84. [93]

    Noncontact frictional force between surfaces by peristaltic permittivity modulation , author=. Phys. Rev. A , volume=. 2023 , publisher=

    2023

  85. [94]

    Electrodynamics of accelerated-modulation space-time metamaterials , author=. Phys. Rev. Appl. , volume=. 2023 , publisher=

    2023

  86. [95]

    IEEE Trans

    Simultaneous control of the spatial and temporal spectra of light with space-time varying metasurfaces , author=. IEEE Trans. Antennas Propag. , volume=. 2019 , publisher=

    2019

  87. [96]

    IRE Trans

    Velocity modulation of electromagnetic waves , author=. IRE Trans. Microw. Theory Tech. , volume=. 1958 , publisher=

    1958

  88. [97]

    IEEE Trans

    Transmission of electromagnetic waves into time-varying media , author=. IEEE Trans. Antennas Propag. , volume=. 1971 , publisher=

    1971

  89. [98]

    IEEE Trans

    Wave propagation in time-varying media , author=. IEEE Trans. Antennas Propag. , volume=. 1970 , publisher=

    1970

  90. [99]

    Dynamical Casimir effects: The need for nonlocality in time-varying dispersive nanophotonics , author=. Phys. Rev. A , volume=. 2024 , publisher=

    2024

  91. [100]

    Observation of genuine wave vector (k or ) gap in a dynamic transmission line and temporal photonic crystals , author=. Appl. Phys. Lett. , volume=. 2015 , publisher=

    2015

  92. [101]

    Band structure of magneto-metallo-dielectric photonic crystals with hybrid one-and two-dimensional periodicity , author=. Phys. Status Solidi B , volume=. 2012 , publisher=

    2012

  93. [102]

    Resonances in the optical response of a slab with time-periodic dielectric function (t) , author=. Phys. Rev. A , volume=. 2010 , publisher=

    2010

  94. [103]

    Parametric resonances in a temporal photonic crystal slab , author=. Phys. Rev. A , volume=. 2018 , publisher=

    2018

  95. [104]

    Growing fields in a temporal photonic (time) crystal with a square profile of the permittivity (t) , author=. Appl. Phys. Lett. , volume=. 2023 , publisher=

    2023

  96. [105]

    IEEE Trans

    Parametric properties of fields in a slab of time-varying permittivity , author=. IEEE Trans. Antennas Propag. , volume=. 1966 , doi =

    1966

  97. [106]

    Plasmonic time crystals , author=. Phys. Rev. Lett. , volume=. 2025 , publisher=

    2025

  98. [107]

    Stationary charge radiation in anisotropic photonic time crystals , author=. Phys. Rev. Lett. , volume=. 2023 , publisher=

    2023

  99. [108]

    Expanding momentum bandgaps in photonic time crystals through resonances , author=. Nat. Photon. , volume=. 2025 , publisher=

    2025

  100. [109]

    Laser Photonics Rev

    Floquet–Mie Theory for Time-Varying Dispersive Spheres , author=. Laser Photonics Rev. , volume=. 2023 , publisher=

    2023

  101. [110]

    Inverse-Designed Dispersive Time-Varying Nanostructures , author=. Adv. Opt. Mater , volume=. 2025 , publisher=

    2025

  102. [111]

    Interference-controlled radiative heat transport in time-modulated networks , author=. Phys. Rev. B , volume=. 2026 , publisher=

    2026

  103. [112]

    Many-body Floquet theory for radiative heat transfer in time-modulated systems , author=. Phys. Rev. B , volume=. 2026 , publisher=

    2026

  104. [113]

    Photonic refrigeration from time-modulated thermal emission , author=. Phys. Rev. Lett. , volume=. 2020 , publisher=

    2020

  105. [114]

    Surface plasmon transformation on dynamic graphene with a periodic modulation of carrier density , author=. Phys. Rev. B , volume=. 2023 , publisher=

    2023

  106. [115]

    Proper treatment of energy and momentum in time-modulated plasmas , author=. Phys. Rev. E , volume=. 2026 , publisher=

    2026

  107. [116]

    arXiv preprint arXiv:2407.08391 , year=

    An avalanche model for femtosecond optical response , author=. arXiv preprint arXiv:2407.08391 , year=

    arXiv

  108. [117]

    ACS Photonics , volume=

    Photonic time crystals and parametric amplification: similarity and distinction , author=. ACS Photonics , volume=. 2024 , publisher=

    2024

  109. [118]

    Nonperturbative nonlinearities

    “Nonperturbative nonlinearities”: perhaps less than meets the eye , author=. ACS photonics , volume=. 2024 , publisher=

    2024

  110. [119]

    2006 , publisher=

    Quantum optics , author=. 2006 , publisher=

    2006

  111. [120]

    2023 , publisher=

    Introductory quantum optics , author=. 2023 , publisher=

    2023

  112. [121]

    Volume 3: Elements of Random Fields , author =

    Principles of Statistical Radiophysics. Volume 3: Elements of Random Fields , author =. 1989 , publisher =

    1989

  113. [122]

    Classical

    Kim, Younsung and Lee, Kyungmin and Oh, Changhun and Ra, Young-Sik and Kim, Kun Woo and Min, Bumki , journal=. Classical. 2026 , url =

    2026

  114. [123]

    Quantum Photonic Time Crystals: From Temporal Boundaries to

    Kim, Younsung and Lee, Kyungmin and Kim, Kun Woo and Min, Bumki , journal=. Quantum Photonic Time Crystals: From Temporal Boundaries to. 2026 , publisher=

    2026

  115. [124]

    Near-field dynamical

    Yu, Renwen and Fan, Shanhui , journal=. Near-field dynamical. 2025 , publisher=

    2025

  116. [125]

    Enhancing far-field thermal radiation by

    Zhu, Huimin and Ren, Yuhua and Pan, Hui and Tang, Gaomin and Zhang, Lei and Wang, Jian-Sheng , journal=. Enhancing far-field thermal radiation by. 2026 , publisher=

    2026

  117. [126]

    Journal of Physics B: Atomic, Molecular and Optical Physics , volume=

    Polariton excitation rates from time dependent dielectrics , author=. Journal of Physics B: Atomic, Molecular and Optical Physics , volume=. 2016 , publisher=

    2016

  118. [127]

    Macroscopic

    Horsley, SAR and Baker, RK , journal=. Macroscopic. 2025 , publisher=

    2025

  119. [128]

    Dynamical

    L. Dynamical. Proc. Natl. Acad. Sci. , volume=. 2013 , publisher=

    2013

  120. [129]

    Science , volume=

    Large optical nonlinearity of indium tin oxide in its epsilon-near-zero region , author=. Science , volume=. 2016 , publisher=

    2016

  121. [130]

    Exceptional Points, Lasing, and Coherent Perfect Absorption in

    Globosits, David and Garg, Puneet and H. Exceptional Points, Lasing, and Coherent Perfect Absorption in. arXiv preprint arXiv:2510.03133 , year=

  122. [131]

    Pseudounitary

    Globosits, David and H. Pseudounitary. Phys. Rev. A , volume=. 2024 , publisher=

    2024

  123. [132]

    Nanophotonics , volume=

    Long lived surface plasmons on the interface of a metal and a photonic time-crystal , author=. Nanophotonics , volume=. 2025 , publisher=

    2025

  124. [133]

    Nanophotonics , volume=

    Time-refraction optics with single cycle modulation , author=. Nanophotonics , volume=. 2023 , publisher=

    2023

  125. [134]

    Terahertz amplification and lasing in pump-probe experiments with hyperbolic polaritons in h-

    Nazaryan, Khachatur G and Ridkokasha, Ivan and Michael, Marios H and Demler, Eugene , journal=. Terahertz amplification and lasing in pump-probe experiments with hyperbolic polaritons in h-. 2026 , publisher=

    2026

  126. [135]

    Generalized

    Michael, Marios H and F. Generalized. Phys. Rev. B , volume=. 2022 , publisher=

    2022

  127. [136]

    Terahertz-driven parametric excitation of

    Basini, Martina and Unikandanunni, V and Gabriele, Francesco and Cross, M and Derrico, Abigail M and Gray, Alexander X and Hoffmann, Matthias C and Forte, Filomena and Cuoco, Mario and Bonetti, Stefano , journal=. Terahertz-driven parametric excitation of. 2026 , publisher=

    2026

  128. [137]

    Physical Review Letters , volume =

    Enhanced Nonlinear Refractive Index in -Near-Zero Materials , author=. Physical Review Letters , volume =. 2016 , month =. doi:10.1103/PhysRevLett.116.233901 , url =

    2016 doi

  129. [138]

    Spontaneous emission probabilities at radio frequency , author=. Phys. Rev. , volume=. 1946 , doi =

    1946

  130. [139]

    Dynamical

    Hassani Gangaraj, S Ali and Hanson, George W and Monticone, Francesco , journal=. Dynamical. 2024 , publisher=

    2024

  131. [140]

    Floquet–

    Ptitcyn, Grigorii and Lamprianidis, Aristeidis and Karamanos, Theodosios and Asadchy, Viktar and Alaee, Rasoul and Müller, Marvin and Albooyeh, Mohammad and Mirmoosa, Mohammad Sajjad and Fan, Shanhui and Tretyakov, Sergei and others , journal=. Floquet–. 2023 , publisher=

    2023

  132. [141]

    Theory and applications of photonic time crystals: a tutorial , author=. Adv. Opt. Photon. , volume=. 2024 , publisher=

    2024

  133. [142]

    Many-body

    Messina, Riccardo and Ben-Abdallah, Philippe , journal=. Many-body. 2026 , publisher=

    2026

  134. [143]

    Khurgin, Jacob B and Kinsey, Nathaniel , journal=. “. 2024 , publisher=

    2024

  135. [144]

    Light fields in complex media: Mesoscopic scattering meets wave control , author=. Rev. Mod. Phys. , volume=. 2017 , publisher=

    2017

  136. [145]

    Linear response theory and optical conductivity of

    Kumar, Abhishek and Rodriguez-Vega, M and Pereg-Barnea, T and Seradjeh, B , journal=. Linear response theory and optical conductivity of. 2020 , publisher=

    2020

  137. [146]

    Out-of-equilibrium electrons and the Hall conductance of a

    Dehghani, Hossein and Oka, Takashi and Mitra, Aditi , journal=. Out-of-equilibrium electrons and the Hall conductance of a. 2015 , publisher=

    2015

  138. [147]

    Quantum response theory for nonequilibrium steady states , author=. Phys. Rev. Res. , volume=. 2019 , publisher=

    2019

  139. [148]

    Response theory for nonequilibrium steady states of open quantum systems , author=. Phys. Rev. Res. , volume=. 2021 , publisher=

    2021

  140. [149]

    Observation of wave amplification and temporal topological state in a non-synthetic photonic time crystal , author=. Nat. Comm. , volume=. 2025 , publisher=

    2025

  141. [150]

    Photon acceleration and tunable broadband harmonics generation in nonlinear time-dependent metasurfaces , author=. Nat. Comm. , volume=. 2019 , publisher=

    2019

Pith tools

Reviewed August 1, 2026 · model on record in the stance chip above.