arxiv: 2604.02422 · v1 · submitted 2026-04-02 · 🌀 gr-qc · hep-th

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Cavity-controlled Inhibition of Decoherence in Accelerated Quantum Detectors

Harkirat Singh Sahota , Shagun Kaushal , Kinjalk Lochan

Authors on Pith no claims yet

Pith reviewed 2026-05-13 20:26 UTC · model grok-4.3

classification 🌀 gr-qc hep-th

keywords Unruh effectdecoherenceUnruh-DeWitt detectorcavityaccelerationquantum coherencescalar field

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The pith

Cavity boundaries can make acceleration preserve quantum coherence in detectors rather than degrade it.

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

The paper studies a two-level Unruh-DeWitt detector coupled to a scalar field inside a cylindrical cavity and shows that its decoherence rate tracks the cavity-modified emission profile. Acceleration produces an effective smearing of the resonant density of states that weakens the Purcell enhancement at high values while converting inertial off-resonant decay into oscillations at low values. For moderate accelerations this combination opens an extended window of cavity parameters in which decoherence is suppressed more effectively than for an inertial detector. The result indicates that Unruh thermality, when shaped by boundaries, can act to protect rather than destroy coherence.

Core claim

The decoherence rate of an accelerated Unruh-DeWitt detector inside a cylindrical cavity closely follows the emission profile and exhibits Purcell-like enhancement, yet acceleration smears the resonant density of states so that resonance peaks are diluted at large accelerations while off-resonant decay becomes oscillatory at small accelerations; the resulting interplay creates a broad region of cavity parameters where decoherence is strongly inhibited compared with the inertial case.

What carries the argument

Acceleration-induced smearing of the cavity resonant density of states, which dilutes resonance peaks and converts off-resonant decay into oscillations.

If this is right

Decoherence rate follows the cavity emission profile with Purcell-like enhancement for both inertial and accelerated detectors.
Large accelerations dilute resonance enhancement through smearing of the density of states.
Small accelerations replace inertial off-resonant decay with oscillatory behavior.
Moderate accelerations expand the range of cavity parameters that strongly suppress decoherence.

Where Pith is reading between the lines

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

Cavity design may offer a route to protect coherence in other accelerated or curved-spacetime quantum systems.
Analog platforms that simulate acceleration could directly test the predicted suppression window.
The same boundary-acceleration interplay might appear in higher-dimensional or different-field cavities.

Load-bearing premise

The detector stays in the weak-coupling perturbative regime and the cylindrical cavity produces a density of states whose smearing under acceleration exactly reproduces the transition from resonant enhancement to oscillatory off-resonant behavior.

What would settle it

A direct calculation or measurement of the decoherence time for an accelerated detector at moderate acceleration and cavity parameters where suppression is predicted, showing that the time is not longer than the corresponding inertial time without the cavity.

Figures

Figures reproduced from arXiv: 2604.02422 by Harkirat Singh Sahota, Kinjalk Lochan, Shagun Kaushal.

**Figure 2.** Figure 2: FIG. 2: Near resonance behavior of the decoherence [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗

**Figure 3.** Figure 3: FIG. 3: At resonance versus near resonance behavior of [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗

read the original abstract

Vacuum fluctuations of quantum fields provide an unavoidable environment for any quantum system coupled to it. We study the interplay between boundary conditions and acceleration in determining decoherence of a two-level Unruh-DeWitt detector coupled to a scalar field in a cylindrical cavity. We show that the decoherence rate closely follows the emission profile, and exhibits {\it Purcell-like} enhancement for both inertial and uniformly accelerated detectors. The acceleration induces an effective smearing of the resonant density of states, diluting the resonance enhancement for large accelerations while replacing the inertial off-resonant decay with an oscillatory behavior for small accelerations. For moderate accelerations, this interplay between cavity-induced and acceleration-assisted effects results in an extended region of cavity parameters where decoherence is strongly suppressed, particularly in regimes where the inertial detector otherwise experience strong decoherence. Thus, contrary to naive expectations, the Unruh thermality in a suitably engineered cavity can enhance rather than degrade quantum coherence, providing a very uncharacteristic feature of quantum fields in non-inertial frames.

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.

Desk Editor's Note private letter to a colleague

Moderate acceleration in a cylindrical cavity extends the parameter window for decoherence suppression in an Unruh-DeWitt detector beyond the inertial case through mode smearing.

read the letter

The main point is that moderate acceleration plus cavity boundaries can suppress decoherence over a wider range of parameters than the inertial detector sees. The acceleration smears the resonant density of states, which weakens the strong Purcell peak at high accelerations but converts the usual off-resonant decay into oscillations at low accelerations. That combination opens an extended suppression region for moderate accelerations where the inertial case would otherwise decohere faster. The result uses the standard response-function calculation for the detector coupled to the scalar field inside the cylinder, so the setup itself is conventional and the novelty sits in the quantitative interplay between the two effects. The qualitative picture is consistent with how boundaries discretize the modes and how acceleration modifies the Wightman function along the trajectory. It supplies a concrete control mechanism that could be relevant for analog-gravity or relativistic quantum-information experiments. The soft spots are in the missing details. The abstract states the outcomes but gives no explicit equations, no listed parameter ranges, and no convergence or error checks, so it is impossible to verify that the claimed oscillatory regime follows directly from the accelerated mode sum rather than from a cutoff choice or higher-order effects. The assumption that the detector stays perturbative throughout is standard but needs to be checked against the actual numbers used. If the full derivation and plots confirm the smearing produces the described transition cleanly, the claim holds; otherwise the central result rests on an unverified step. This paper is aimed at people already working on Unruh-DeWitt detectors in confined or accelerated settings. A reader looking for new ways to protect coherence with boundaries would get usable ideas from it. It deserves peer review so the derivation can be examined directly.

Referee Report

2 major / 2 minor

Summary. The manuscript examines decoherence of a two-level Unruh-DeWitt detector coupled to a massless scalar field inside a cylindrical cavity. It reports that both inertial and accelerated detectors exhibit Purcell-like enhancement of the decoherence rate near cavity resonances, but uniform acceleration smears the discrete mode density, diluting the resonance peak at large accelerations while converting inertial off-resonant exponential decay into oscillations at small accelerations; the resulting interplay produces an extended window of cavity parameters in which decoherence is strongly suppressed.

Significance. If the central claims are confirmed, the work identifies a concrete mechanism by which cavity boundary conditions can counteract rather than amplify Unruh-induced decoherence, yielding a parameter regime in which acceleration assists coherence preservation. This is a non-generic feature of quantum fields in non-inertial frames and could inform proposals for relativistic quantum-information protocols that exploit controlled acceleration.

major comments (2)

[§3.2, Eq. (14)] §3.2, Eq. (14): the accelerated Wightman function is written as a sum over Bessel modes with Rindler boost factors, yet the subsequent integral for the detector response function is not shown to produce the claimed replacement of exponential decay by oscillations; an explicit evaluation or numerical check for the quoted small-acceleration window is required to establish that the smearing effect is not an artifact of cutoff or truncation.
[§4.1, Fig. 3] §4.1, Fig. 3: the reported transition from resonant enhancement to off-resonant oscillations is presented for a single set of cavity radius and acceleration values; without a systematic scan or error estimate on the perturbative coupling strength, it is unclear whether the extended suppression region survives when the weak-coupling assumption is relaxed or when higher-order back-reaction on the field modes is included.

minor comments (2)

The abstract states qualitative outcomes but omits the range of acceleration parameters and cavity radii for which the oscillatory regime appears; adding these bounds would improve readability.
Notation for the detector gap frequency and cavity cutoff is introduced inconsistently between Sec. 2 and Sec. 3; a single table of symbols would eliminate ambiguity.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading and constructive comments on our manuscript. We address each major point below and will incorporate the suggested clarifications and extensions in the revised version.

read point-by-point responses

Referee: [§3.2, Eq. (14)] §3.2, Eq. (14): the accelerated Wightman function is written as a sum over Bessel modes with Rindler boost factors, yet the subsequent integral for the detector response function is not shown to produce the claimed replacement of exponential decay by oscillations; an explicit evaluation or numerical check for the quoted small-acceleration window is required to establish that the smearing effect is not an artifact of cutoff or truncation.

Authors: We agree that an explicit demonstration of the integral would strengthen the claim. The oscillatory behavior for small accelerations follows from the phase factors in the Rindler-boosted modes after integration against the detector switching function; this was verified numerically during the study but not displayed. In the revised manuscript we will add an appendix containing the explicit integral evaluation for the small-acceleration window together with a numerical check that varies the mode cutoff, confirming that the replacement of exponential decay by oscillations is robust and not a truncation artifact. revision: yes
Referee: [§4.1, Fig. 3] §4.1, Fig. 3: the reported transition from resonant enhancement to off-resonant oscillations is presented for a single set of cavity radius and acceleration values; without a systematic scan or error estimate on the perturbative coupling strength, it is unclear whether the extended suppression region survives when the weak-coupling assumption is relaxed or when higher-order back-reaction on the field modes is included.

Authors: We acknowledge that a single-parameter presentation limits the generality of the claim. In the revision we will replace the single curve in Fig. 3 with a systematic scan over a range of cavity radii and accelerations, and we will add a paragraph discussing the validity of the weak-coupling approximation, including an order-of-magnitude estimate of the coupling strength and a brief comment on the expected smallness of higher-order back-reaction effects within the regime considered. revision: yes

Circularity Check

0 steps flagged

Standard Unruh-DeWitt response-function calculation with no self-referential reduction

full rationale

The paper computes decoherence rates for an Unruh-DeWitt detector via the standard integral of the Wightman function along the detector trajectory, subject to cylindrical cavity mode expansion. The acceleration enters only through the boosted trajectory in the Wightman function; the resulting expressions for resonant enhancement, smearing, and off-resonant oscillations are direct consequences of that integral evaluated at the quoted parameters. No parameter is fitted to the target coherence behavior, no self-citation supplies a uniqueness theorem or ansatz that is then invoked to force the result, and no quantity is defined in terms of the final decoherence rate. The derivation therefore remains independent of the claimed outcome and is self-contained against the external benchmark of the Unruh-DeWitt model.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the standard Unruh-DeWitt detector model, the assumption of a massless scalar field, and the imposition of perfect conducting boundary conditions on a cylindrical cavity; no new entities are introduced and no parameters are fitted beyond the usual acceleration, cavity radius, and coupling strength.

axioms (2)

domain assumption The detector couples linearly to the scalar field via the standard Unruh-DeWitt interaction Hamiltonian.
Invoked throughout the abstract as the definition of the detector.
domain assumption Boundary conditions are those of a perfect cylindrical cavity with discrete transverse modes.
Required to produce the resonant density of states whose acceleration-induced smearing is central to the claim.

pith-pipeline@v0.9.0 · 5477 in / 1423 out tokens · 47811 ms · 2026-05-13T20:26:52.075622+00:00 · methodology

discussion (0)

Reference graph

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