pith. sign in

arxiv: 2505.16897 · v1 · submitted 2025-05-22 · 🌀 gr-qc · hep-th· quant-ph

Derivative coupling in horizon brightened acceleration radiation: a quantum optics approach

Ashmita Das , Anjana Krishnan , Soham Sen , Sunandan Gangopadhyay This is my paper

Pith reviewed 2026-05-22 13:23 UTC · model grok-4.3

classification 🌀 gr-qc hep-thquant-ph
keywords Horizon Brightened Acceleration RadiationDerivative couplingUnruh-DeWitt detectorInfrared divergencesQuantum field in curved spacetimeAcceleration radiationNon-equilibrium thermodynamics
0
0 comments X

The pith

Derivative coupling makes HBAR transition probability independent of detector frequency

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

The paper examines horizon brightened acceleration radiation by coupling detectors to the momentum of the quantum field instead of its amplitude. This change is introduced to eliminate infrared divergences that arise for massless fields in two-dimensional spacetime. For point-like detectors the transition probability turns out to be independent of the detector frequency, which the authors attribute to the local gravitational field modifying detector sensitivity and widening its effective frequency range. When the detector has finite length, shorter detectors cause the steady-state solution for the field density matrix to disappear, pointing to a possible non-equilibrium thermodynamic state.

Core claim

Using derivative coupling, the excitation probability of a point-like detector in the HBAR process is independent of its energy gap. The independence follows from the local gravitational field near the horizon altering the detector's response and broadening its frequency sensitivity. For finite-size detectors a comparative study shows that the field's density matrix lacks a steady-state solution when the detector length is small, indicating a non-equilibrium condition that appears only with this form of coupling.

What carries the argument

Derivative coupling of the detector to the time derivative or momentum of the quantum field, which removes infrared divergences while producing frequency-independent transition rates in the HBAR setting.

If this is right

  • Transition probability for point-like detectors becomes independent of frequency due to gravitational broadening of sensitivity.
  • Smaller-length detectors cause the steady-state solution for the field density matrix to vanish.
  • The absence of a steady state may signal a non-equilibrium thermodynamic regime for finite-size detector-field interactions.
  • These frequency independence and non-equilibrium features appear only with derivative coupling.

Where Pith is reading between the lines

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

  • The frequency independence could be tested in analog gravity systems by varying detector energy gaps while keeping other parameters fixed.
  • The result suggests that coupling choice affects thermodynamic conclusions in other acceleration-radiation models in curved spacetime.
  • If confirmed, the broadening effect might allow detectors to register signals over a wider range of energy scales than previously expected.

Load-bearing premise

Switching from amplitude coupling to derivative coupling removes the infrared divergences without changing the essential physical content of the horizon brightened acceleration radiation process.

What would settle it

A direct calculation or measurement showing that the transition probability still depends on detector frequency under derivative coupling, or that infrared divergences persist in the massless two-dimensional limit.

Figures

Figures reproduced from arXiv: 2505.16897 by Anjana Krishnan, Ashmita Das, Soham Sen, Sunandan Gangopadhyay.

Figure 1
Figure 1. Figure 1: FIG. 1: Real part of the functions [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2 [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p005_3.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p008_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7 [PITH_FULL_IMAGE:figures/full_fig_p008_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8 [PITH_FULL_IMAGE:figures/full_fig_p008_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: Wein displacement plot with [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
read the original abstract

Horizon Brightened Acceleration Radiation (HBAR) signifies a unique radiation process and provides a promising framework in exploring acceleration radiation in flat/ curved spacetime. Its construction primarily relies on the transition probability of an atom falling through a high-Q cavity while interacting with a quantum field. The HBAR effect has typically been explored in the context of minimal coupling between the atom and the field amplitude. However, the minimally coupled models are affected by the infrared (IR) divergences that arise in the massless limit of the quantum fields in (1+1) dimensions. Thus, in the present manuscript, we examine the HBAR process using both the point-like and finite size detectors coupled with the momentum of the field, which plays a crucial role in naturally resolving IR divergences. Our results suggest that the transition probability for the point-like detector is independent of its frequency. This can be interpreted as the influence of the local gravitational field which modifies the sensitivity of the detector to its frequency and broadens its effective frequency range. Through a comparative study based on the length of the detector, we find that for a detector with a smaller length, the steady state solution for the density matrix of the field vanishes. This may indicate the existence of a non equilibrium thermodynamic state under the condition of finite size detector-field interaction. These distinctive features are exclusive to the derivative coupling between the atom and the field, highlighting them as a compelling subject for future investigation.

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 manuscript examines Horizon Brightened Acceleration Radiation (HBAR) in (1+1)D using derivative coupling of point-like and finite-size detectors to the field momentum rather than amplitude. It reports that this coupling resolves infrared divergences in the massless limit, that the transition probability for a point-like detector becomes independent of the detector frequency (interpreted as a gravitational modification of detector sensitivity), and that smaller finite-size detectors yield a vanishing steady-state field density matrix, suggesting a non-equilibrium thermodynamic state. These features are presented as distinctive to derivative coupling.

Significance. If the central results hold after verification, the work provides a concrete route to IR-safe HBAR calculations in low-dimensional models and identifies potentially new signatures of derivative coupling in curved spacetime. The quantum-optics master-equation framework is standard and could support reproducibility if the response functions and mode sums are fully documented. The frequency-independence claim, if shown to be curvature-induced rather than an artifact, would strengthen the physical distinction from minimal-coupling HBAR.

major comments (2)
  1. [Abstract / transition-probability derivation] Abstract and the derivation of the transition probability (likely §3 or §4): the reported frequency independence of the point-like detector response must be shown to arise from the local gravitational field rather than from the algebraic structure of the derivative-coupled Wightman function. For a massless field in (1+1)D the derivative of the logarithmic two-point function produces a 1/Δx² kernel; when integrated against the switching function this may cancel the detector gap ω before any curvature or horizon terms are inserted. A flat-space control calculation with identical derivative coupling is required to establish the gravitational origin.
  2. [Abstract / IR-resolution section] The claim that derivative coupling 'naturally resolves' IR divergences (abstract) needs an explicit check against the massless limit, including error estimates or regularization details. The abstract states results without derivations or limits; the manuscript must demonstrate that no new divergences are introduced by the momentum coupling while preserving the HBAR process.
minor comments (2)
  1. [Methods / Hamiltonian definition] Clarify the precise form of the interaction Hamiltonian and the switching function used for the finite-size detector; notation for the detector length parameter should be consistent throughout.
  2. [Results] Add a brief comparison table or plot of the transition probability versus detector frequency for both minimal and derivative coupling to make the claimed distinction quantitative.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their thorough review and insightful comments on our manuscript. We address each of the major comments below and outline the revisions we intend to make to strengthen the paper.

read point-by-point responses

  1. Referee: [Abstract / transition-probability derivation] Abstract and the derivation of the transition probability (likely §3 or §4): the reported frequency independence of the point-like detector response must be shown to arise from the local gravitational field rather than from the algebraic structure of the derivative-coupled Wightman function. For a massless field in (1+1)D the derivative of the logarithmic two-point function produces a 1/Δx² kernel; when integrated against the switching function this may cancel the detector gap ω before any curvature or horizon terms are inserted. A flat-space control calculation with identical derivative coupling is required to establish the gravitational origin.

    Authors: We agree that demonstrating the gravitational origin of the frequency-independent transition probability is crucial. In the revised version of the manuscript, we will add a flat-space control calculation using the same derivative coupling to the field momentum. This will explicitly show that in flat spacetime, the transition probability retains dependence on the detector frequency ω, whereas the frequency independence emerges only in the presence of the horizon and the associated gravitational effects in the HBAR model. We will include this comparison in the section discussing the point-like detector results to address this concern directly. revision: yes

  2. Referee: [Abstract / IR-resolution section] The claim that derivative coupling 'naturally resolves' IR divergences (abstract) needs an explicit check against the massless limit, including error estimates or regularization details. The abstract states results without derivations or limits; the manuscript must demonstrate that no new divergences are introduced by the momentum coupling while preserving the HBAR process.

    Authors: We acknowledge that the abstract is concise and could benefit from more detail on the IR resolution. In the revised manuscript, we will expand the abstract slightly and, more importantly, provide a detailed subsection on the IR behavior in the massless limit. This will include the explicit regularization procedure used, error estimates for the mode sums, and a demonstration that the derivative coupling eliminates the logarithmic IR divergences present in minimal coupling without introducing new divergences. We will show the convergence of the relevant integrals in the massless limit to support the claim. revision: yes

Circularity Check

0 steps flagged

No circularity: results follow from standard master-equation calculation on derivative-coupled Hamiltonian

full rationale

The paper computes transition probabilities by inserting the derivative-coupled interaction Hamiltonian into the standard quantum-optics master equation for a detector traversing a cavity. The reported frequency independence of the point-like detector response is an algebraic outcome of integrating the derivative of the (1+1)D Wightman function against the switching function; this step is performed directly from the field two-point function and does not presuppose the final probability or the gravitational interpretation. No parameter is fitted to the target observable and then relabeled as a prediction, no uniqueness theorem is imported from the authors' prior work to force the result, and the IR-divergence resolution is a direct consequence of the derivative coupling rather than a redefinition of the HBAR process itself. The gravitational-field interpretation is offered as a post-calculation reading, not as an input that defines the equations.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The model assumes that derivative coupling removes IR divergences without new cutoffs and that the detector-field interaction remains perturbative. No explicit free parameters or invented entities are named in the abstract; the gravitational modification of detector sensitivity is an interpretive step rather than an added axiom.

axioms (1)
  • domain assumption Derivative coupling to field momentum suffices to eliminate infrared divergences in the massless (1+1)D limit while preserving the HBAR transition physics.
    Stated in the abstract as the motivation for the new coupling choice.

pith-pipeline@v0.9.0 · 5796 in / 1402 out tokens · 30365 ms · 2026-05-22T13:23:52.013585+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.

Forward citations

Cited by 1 Pith paper

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

  1. Horizon brightened acceleration radiation from massive vector fields

    gr-qc 2025-12 unverdicted novelty 7.0

    Acceleration radiation for massive vector fields near black hole horizons has a universal thermal detailed-balance factor from the Rindler transformation, with mass thresholds and polarization-dependent spectra, yield...

Reference graph

Works this paper leans on

56 extracted references · 56 canonical work pages · cited by 1 Pith paper

  1. [1]

    Russian doll behaviour

    Substituting y = r3/2 in Eq. (11), we find, Pexc = 4g2ν2 9 Z y′ 1 dy y2 y2/3 − 1 e−iν( 2 3 y+y2/3+2y1/3+2 ln(y1/3−1))e− 2iω 3 y 2 , (12) where y′ = r′ 3 2 is the upper limit of integration. Since we are still working in the near horizon regime, we restrict y′ to the range 1 ≲ y′ < 2. Substituting x = 2ω 3 (y − 1) one obtains x < 2ω 3 and thus the above eq...

    work page

  2. [2]

    Γ(1 − z)Γ(z) = π sin(πz)

    work page

  3. [3]

    Γ(1/2 + iy) 2 = π cosh πy    (44) the final form of the transition probability becomes, Pexc = g2ν 2L2ω2 1 e4πν − 1 = g2νrgc 2L2ω2 1 e4πνr g/c − 1

    |Γ(iy)|2 = π y sinh(πy) 3. Γ(1/2 + iy) 2 = π cosh πy    (44) the final form of the transition probability becomes, Pexc = g2ν 2L2ω2 1 e4πν − 1 = g2νrgc 2L2ω2 1 e4πνr g/c − 1 . Following section (III), the absorption probability turns out to be, Pabs = e4πνr g/cPexc . (45) For the other condition Lω/ √ 2 < 1, the confluent hy- pergeometric f...

    work page

  4. [4]

    Thus, we graphically solve this transcendental equation and ob- tain 1 λT = 2 .82

    to realise a detailed derivation of the Wein displace- ment in the context of HBAR phenomenon. Thus, we graphically solve this transcendental equation and ob- tain 1 λT = 2 .82. Implementing the same treatment for the finite size detectors for the condition of Lω/ √ 2 > 1, FIG. 9: Wein displacement plot with λ as a function of T . The plots corresponding ...

    work page 1973

  5. [5]

    Particle Creation by Black Holes,

    S. W. Hawking, “Particle Creation by Black Holes,” Commun. Math. Phys. 43, 199-220 (1975) [erratum: Commun. Math. Phys. 46, 206 (1976)]

    work page 1975

  6. [6]

    Black Holes and Thermodynamics,

    S. W. Hawking, “Black Holes and Thermodynamics,” Phys. Rev. D 13, 191-197 (1976)

    work page 1976

  7. [7]

    Quantized fields and particle creation in expanding universes. 1.,

    L. Parker, “Quantized fields and particle creation in expanding universes. 1.,” Phys. Rev. 183, 1057-1068 (1969)

    work page 1969

  8. [8]

    Particle creation in expanding universes,

    L. Parker, “Particle creation in expanding universes,” Phys. Rev. Lett. 21, 562-564 (1968)

    work page 1968

  9. [9]

    Quantized fields and particle creation in ex- panding universes. 2.,

    L. Parker, “Quantized fields and particle creation in ex- panding universes. 2.,” Phys. Rev. D 3, 346-356 (1971) Phys. Rev. D 3, 2546-2546 (1971)

    work page 1971

  10. [10]

    Origin of the Particles in Black Hole Evaporation,

    W. G. Unruh, “Origin of the Particles in Black Hole Evaporation,” Phys. Rev. D 15, 365-369 (1977)

    work page 1977

  11. [11]

    Cosmological Event Horizons, Thermodynamics, and Particle Cre- ation,

    G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Cre- ation,” Phys. Rev. D 15, 2738-2751 (1977)

    work page 1977

  12. [12]

    The vacuum violates Bell’s inequalities,

    S. J. Summers and R. Werner, “The vacuum violates Bell’s inequalities,” Phys. Lett. A 110, no.5, 257-259 (1985)

    work page 1985

  13. [13]

    Fuentes-Schuller and R

    I. Fuentes-Schuller and R. B. Mann, ‘Alice falls into a black hole: Entanglement in non-inertial frames,” Phys. Rev. Lett. 95, 120404 (2005)

    work page 2005

  14. [14]

    Maximal Violation of Bell’s Inequalities Is Generic in Quantum Field Theory,

    S. J. Summers and R. Werner, “Maximal Violation of Bell’s Inequalities Is Generic in Quantum Field Theory,” Commun. Math. Phys. 110, 247-259 (1987)

    work page 1987

  15. [15]

    Harvesting correlations from the quantum vacuum,

    A. Pozas-Kerstjens and E. Martin-Martinez, “Harvesting correlations from the quantum vacuum,” Phys. Rev. D 92, no.6, 064042 (2015)

    work page 2015

  16. [16]

    Entanglement from the vacuum,

    B. Reznik, “Entanglement from the vacuum,” Found. Phys. 33, 167-176 (2003)

    work page 2003

  17. [17]

    Relativistic quantum information,

    T. C. Ralph and R. B. Mann, “Relativistic quantum information,” Class. Quant. Grav. 29, no.22, 220301 (2012)

    work page 2012

  18. [18]

    Relativistic Quantum Information: developments in Quantum Information in general rela- tivistic scenarios,

    E. Martin-Martinez, “Relativistic Quantum Information: developments in Quantum Information in general rela- tivistic scenarios,” Ph.D. thesis, Waterloo U., (2011)

    work page 2011

  19. [19]

    Enhancing Acceleration Radiation from Ground-State Atoms via Cavity Quantum Electrody- namics,

    M. O. Scully, V. V. Kocharovsky, A. Belyanin, E. Fry and F. Capasso, “Enhancing Acceleration Radiation from Ground-State Atoms via Cavity Quantum Electrody- namics,” Phys. Rev. Lett. 91, 243004 (2003)

    work page 2003

  20. [20]

    Notes on black hole evaporation,

    W. G. Unruh, “Notes on black hole evaporation,” Phys. Rev. D 14, 870 (1976)

    work page 1976

  21. [21]

    Quantum Fields in Curved Space,

    N. D. Birrell and P. C. W. Davies, “Quantum Fields in Curved Space,” Cambridge University Press, 1982, ISBN 978-0-511-62263-2, 978-0-521-27858-4

    work page 1982

  22. [22]

    The Unruh effect and its applications,

    L. C. B. Crispino, A. Higuchi and G. E. A. Matsas, “The Unruh effect and its applications,” Rev. Mod. Phys. 80, 787-838 (2008)

    work page 2008

  23. [23]

    Quantum optics approach to radi- ation from atoms falling into a black hole,

    M. O. Scully, S. Fulling, D. Lee, D. N. Page, W. Schleich and A. Svidzinsky, “Quantum optics approach to radi- ation from atoms falling into a black hole,” Proc. Nat. Acad. Sci. 115, no.32, 8131-8136 (2018)

    work page 2018

  24. [24]

    Excitation of an Atom by a Uniformly Accelerated Mirror through Virtual Transitions,

    A. A. Svidzinsky, J. S. Ben-Benjamin, S. A. Fulling and D. N. Page, “Excitation of an Atom by a Uniformly Accelerated Mirror through Virtual Transitions,” Phys. Rev. Lett. 121, no.7, 071301 (2018)

    work page 2018

  25. [25]

    Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole,

    H. E. Camblong, A. Chakraborty and C. R. Ordonez, “Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole,” Phys. Rev. D 102, no.8, 085010 (2020)

    work page 2020

  26. [26]

    Acceleration radiation of an atom freely falling into a Kerr black hole and near- horizon conformal quantum mechanics,

    A. Azizi, H. E. Camblong, A. Chakraborty, C. R. Or- donez and M. O. Scully, “Acceleration radiation of an atom freely falling into a Kerr black hole and near- horizon conformal quantum mechanics,” Phys. Rev. D 104, no.6, 065006 (2021)

    work page 2021

  27. [27]

    Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation,

    A. Azizi, H. E. Camblong, A. Chakraborty, C. R. Or- donez and M. O. Scully, “Quantum optics meets black hole thermodynamics via conformal quantum mechanics: I. Master equation for acceleration radiation,” Phys. Rev. D 104, 084086 (2021)

    work page 2021

  28. [28]

    Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation,

    A. Azizi, H. E. Camblong, A. Chakraborty, C. R. Or- donez and M. O. Scully, “Quantum optics meets black hole thermodynamics via conformal quantum mechanics: II. Thermodynamics of acceleration radiation,” Phys. Rev. D 104, 084085 (2021)

    work page 2021

  29. [29]

    Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole,

    S. Sen, R. Mandal and S. Gangopadhyay, “Equivalence principle and HBAR entropy of an atom falling into a quantum corrected black hole,” Phys. Rev. D 105, no.8, 085007 (2022)

    work page 2022

  30. [30]

    Near horizon 14 aspects of acceleration radiation of an atom falling into a class of static spherically symmetric black hole geome- tries,

    S. Sen, R. Mandal and S. Gangopadhyay, “Near horizon 14 aspects of acceleration radiation of an atom falling into a class of static spherically symmetric black hole geome- tries,” Phys. Rev. D 106, no.2, 025004 (2022)

    work page 2022

  31. [31]

    Virtual transitions in an atom-mirror system in the presence of two scalar photons,

    A. Das, S. Sen and S. Gangopadhyay, “Virtual transitions in an atom-mirror system in the presence of two scalar photons,” Phys. Rev. D 107, no.2, 025009 (2023)

    work page 2023

  32. [32]

    Horizon brightened accelerated radiation in the background of braneworld black holes,

    A. Das, S. Sen and S. Gangopadhyay, “Horizon brightened accelerated radiation in the background of braneworld black holes,” Phys. Rev. D 109, no.6, 064087 (2024)

    work page 2024

  33. [33]

    Vacuum Noise and Stress Induced by Uniform Acceleration: Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension,

    S. Takagi, “Vacuum Noise and Stress Induced by Uniform Acceleration: Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension,” Prog. Theor. Phys. Suppl. 88, 1-142 (1986)

    work page 1986

  34. [34]

    Quantum kicks near a Cauchy horizon,

    B. A. Ju´ arez-Aubry and J. Louko, “Quantum kicks near a Cauchy horizon,” AVS Quantum Sci. 4, no.1, 013201 (2022)

    work page 2022

  35. [35]

    Circular motion ana- logue Unruh effect in a thermal bath: robbing from the rich and giving to the poor,

    C. R. D. Bunney and J. Louko, “Circular motion ana- logue Unruh effect in a thermal bath: robbing from the rich and giving to the poor,” Class. Quant. Grav. 40, no.15, 155001 (2023)

    work page 2023

  36. [36]

    Onset and decay of the 1 + 1 Hawking-Unruh effect: what the derivative- coupling detector saw,

    B. A. Ju´ arez-Aubry and J. Louko, “Onset and decay of the 1 + 1 Hawking-Unruh effect: what the derivative- coupling detector saw,” Class. Quant. Grav. 31, no.24, 245007 (2014)

    work page 2014

  37. [37]

    Particle detectors and the zero mode of a quantum field,

    E. Martin-Martinez and J. Louko, “Particle detectors and the zero mode of a quantum field,” Phys. Rev. D 90, no.2, 024015 (2014)

    work page 2014

  38. [38]

    Stochastic theory of accelerated detectors in a quantum field,

    A. Raval, B. L. Hu and J. Anglin, “Stochastic theory of accelerated detectors in a quantum field,” Phys. Rev. D 53, 7003-7019 (1996)

    work page 1996

  39. [39]

    Motion of a mirror un- der infinitely fluctuating quantum vacuum stress,

    Q. Wang and W. G. Unruh, “Motion of a mirror un- der infinitely fluctuating quantum vacuum stress,” Phys. Rev. D 89, no.8, 085009 (2014)

    work page 2014

  40. [40]

    Harvesting correlations in Schwarzschild and collapsing shell spacetimes,

    E. Tjoa and R. B. Mann, “Harvesting correlations in Schwarzschild and collapsing shell spacetimes,” JHEP 08, 155 (2020)

    work page 2020

  41. [41]

    Unruh-DeWitt detector response across a Rindler firewall is finite,

    J. Louko, “Unruh-DeWitt detector response across a Rindler firewall is finite,” JHEP 09, 142 (2014)

    work page 2014

  42. [42]

    Deriva- tive coupling enables genuine entanglement harvesting in causal communication,

    A. Teixid´ o-Bonfill and E. Mart´ ın-Mart´ ınez, “Deriva- tive coupling enables genuine entanglement harvesting in causal communication,” Phys. Rev. D110, no.10, 105016 (2024)

    work page 2024

  43. [43]

    Quantum fields dur- ing black hole formation: How good an approximation is the Unruh state?,

    B. A. Ju´ arez-Aubry and J. Louko, “Quantum fields dur- ing black hole formation: How good an approximation is the Unruh state?,” JHEP 05, 140 (2018)

    work page 2018

  44. [44]

    Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps,

    T. R. Perche and M. H. Zambianco, “Duality between amplitude and derivative coupled particle detectors in the limit of large energy gaps,” Phys. Rev. D 108, no.4, 045017 (2023)

    work page 2023

  45. [45]

    Transmission of quantum in- formation through quantum fields in curved spacetimes,

    M. Kasprzak and E. Tjoa, “Transmission of quantum in- formation through quantum fields in curved spacetimes,” J. Phys. A 58, no.9, 095301 (2025)

    work page 2025

  46. [46]

    Entangle- ment harvesting from the electromagnetic vacuum with hydrogenlike atoms,

    A. Pozas-Kerstjens and E. Martin-Martinez, “Entangle- ment harvesting from the electromagnetic vacuum with hydrogenlike atoms,” Phys. Rev. D 94, no.6, 064074 (2016)

    work page 2016

  47. [47]

    Quantum delocaliza- tion, gauge, and quantum optics: Light-matter interac- tion in relativistic quantum information,

    R. Lopp and E. Mart´ ın-Mart´ ınez, “Quantum delocaliza- tion, gauge, and quantum optics: Light-matter interac- tion in relativistic quantum information,” Phys. Rev. A 103, no.1, 013703 (2021)

    work page 2021

  48. [48]

    Finite sizes and smooth cutoffs in superconducting circuits,

    E. McKay, A. Lupascu and E. Mart´ ın-Mart´ ınez, “Finite sizes and smooth cutoffs in superconducting circuits,” Phys. Rev. A 96, no.5, 052325 (2017)

    work page 2017

  49. [49]

    Tun- able coupler for mediating interactions between a two- level system and a waveguide from a decoupled state to the ultrastrong coupling regime,

    N. Janzen, X. Dai, S. Ren, J. Shi and A. Lupascu, “Tun- able coupler for mediating interactions between a two- level system and a waveguide from a decoupled state to the ultrastrong coupling regime,” Phys. Rev. Res.5, no.3, 033155 (2023)

    work page 2023

  50. [50]

    Considerations on the Unruh effect: Causal- ity and regularization,

    S. Schlicht, “Considerations on the Unruh effect: Causal- ity and regularization,” Class. Quant. Grav. 21, 4647- 4660 (2004)

    work page 2004

  51. [51]

    Causal particle detectors and topology,

    P. Langlois, “Causal particle detectors and topology,” Annals Phys. 321, 2027-2070 (2006)

    work page 2027

  52. [52]

    How often does the Unruh- DeWitt detector click? Regularisation by a spatial pro- file,

    J. Louko and A. Satz, “How often does the Unruh- DeWitt detector click? Regularisation by a spatial pro- file,” Class. Quant. Grav. 23, 6321-6344 (2006)

    work page 2006

  53. [53]

    Wavepacket detection with the Unruh-DeWitt model,

    E. Martin-Martinez, M. Montero and M. del Rey, “Wavepacket detection with the Unruh-DeWitt model,” Phys. Rev. D 87, no.6, 064038 (2013)

    work page 2013

  54. [54]

    Excited by a quantum field: Does shape matter?,

    J. Louko and A. Satz, “Excited by a quantum field: Does shape matter?,” J. Phys. Conf. Ser. 68, 012014 (2007)

    work page 2007

  55. [55]

    Transition rate of the Unruh- DeWitt detector in curved spacetime,

    J. Louko and A. Satz, “Transition rate of the Unruh- DeWitt detector in curved spacetime,” Class. Quant. Grav. 25, 055012 (2008)

    work page 2008

  56. [56]

    Spatially extended Unruh- DeWitt detectors for relativistic quantum information,

    A. R. Lee and I. Fuentes, “Spatially extended Unruh- DeWitt detectors for relativistic quantum information,” Phys. Rev. D 89, no.8, 085041 (2014)

    work page 2014