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arxiv: 2603.26121 · v2 · submitted 2026-03-27 · 🌀 gr-qc · hep-th· quant-ph

Recognition: 2 theorem links

· Lean Theorem

Probing Unruh Effect from Enhanced Decoherence

Ran Li , Zhong-Xiao Man , Jin Wang
Authors on Pith no claims yet

Pith reviewed 2026-05-14 23:07 UTC · model grok-4.3

classification 🌀 gr-qc hep-thquant-ph
keywords Unruh effectdecoherenceUnruh-DeWitt detectorscaling dimensioninfluence functionalMinkowski spacetimequantum fieldsacceleration
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0 comments X

The pith

Decoherence rate of an accelerating Unruh-DeWitt detector scales as a to the power 2Δ-1.

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

The paper examines how an Unruh-DeWitt detector coupled to scalar, electromagnetic, or spinor fields loses coherence when accelerated in flat spacetime. Using the Schwinger-Keldysh influence functional, it derives a universal power-law dependence of the long-time decoherence rate on the detector's proper acceleration a and the scaling dimension Δ of the field operator. The rate grows as a raised to 2Δ minus 1, so larger Δ produces stronger decoherence. A sympathetic reader would care because this relation supplies a concrete, field-dependent signature that could make the Unruh effect easier to detect through decoherence measurements.

Core claim

By employing the Schwinger-Keldysh influence functional formalism, we derive a universal scaling law relating the decoherence rate to the proper acceleration a and the scaling dimension Δ of the environmental field operator. The decoherence rate in the asymptotic long-time limit scales as a^{2Δ-1}. This scaling indicates that increasing scaling dimension of the coupling field operators can significantly enhance the decoherence, thereby providing a more sensitive probe of the Unruh effect.

What carries the argument

Schwinger-Keldysh influence functional formalism applied to the Unruh-DeWitt detector, which produces the universal decoherence-rate scaling a^{2Δ-1} for any field operator with scaling dimension Δ.

If this is right

  • The scaling law is the same for scalar, electromagnetic, and spinor fields.
  • Both sharp top-hat and smooth Gaussian switching functions give the identical a^{2Δ-1} dependence in the long-time limit.
  • Larger scaling dimension Δ produces markedly stronger decoherence at fixed acceleration.
  • The enhanced decoherence supplies a more sensitive experimental signature of the Unruh effect.

Where Pith is reading between the lines

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

  • Analog systems such as accelerated Bose-Einstein condensates or trapped ions could be used to test the predicted power-law dependence directly.
  • Choosing a field operator with higher Δ could be a practical strategy to increase the visibility of Unruh-induced decoherence in proposed table-top experiments.
  • The same scaling relation may carry over to other accelerated detectors or to curved backgrounds where the Unruh temperature is replaced by a local temperature.

Load-bearing premise

The Schwinger-Keldysh influence functional formalism accurately captures the decoherence for the chosen sharp and Gaussian switching functions in the long-time limit without additional corrections from the specific field content.

What would settle it

A laboratory or analog measurement of the decoherence rate for an accelerating detector that yields a power-law exponent different from 2Δ-1 for a field whose scaling dimension is independently known.

read the original abstract

We investigate the decoherence of an Unruh-DeWitt detector coupled to scalar, electromagnetic, and spinor fields in four-dimensional Minkowski spacetime. By employing the Schwinger-Keldysh influence functional formalism, we derive a universal scaling law relating the decoherence rate to the proper acceleration $a$ and the scaling dimension $\Delta$ of the environmental field operator. By analyzing both sharp (top-hat) and smooth Gaussian switching functions, it is shown that the decoherence rate in the asymptotic long-time limit scales as $a^{2\Delta-1}$. This scaling indicates that increasing scaling dimension of the coupling field operators can significantly enhance the decoherence, thereby providing a more sensitive probe of the Unruh effect.

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 investigates the decoherence of an Unruh-DeWitt detector coupled to scalar, electromagnetic, and spinor fields in 4D Minkowski spacetime. Employing the Schwinger-Keldysh influence functional formalism, it derives a universal scaling law for the decoherence rate in the asymptotic long-time limit, showing that the rate scales as a^{2Δ-1} (with a the proper acceleration and Δ the scaling dimension of the environmental field operator). The result is obtained for both sharp (top-hat) and smooth Gaussian switching functions and is presented as a more sensitive probe of the Unruh effect.

Significance. If the scaling holds, the result supplies a parameter-free, field-independent relation that could enhance experimental sensitivity to the Unruh effect by showing that higher scaling dimensions produce stronger decoherence. The use of standard Schwinger-Keldysh methods together with explicit treatment of two distinct switching functions constitutes a concrete, falsifiable prediction that strengthens the link between relativistic quantum field theory and quantum information measures.

major comments (2)
  1. [§3] §3 (long-time limit derivation): the rescaling of the integration variable that isolates the factor a^{2Δ-1} after subtraction of the short-distance singularity must be written out explicitly, including the resulting a-independent integral and a demonstration that it converges for the relevant range of Δ.
  2. [§4] §4 (switching-function comparison): explicit verification that the same scaling emerges for both the sharp and Gaussian cases, together with error estimates or convergence checks in the long-time limit, is required to support the claim of universality.
minor comments (2)
  1. The definition of the influence functional and the precise form of the subtracted two-point function should be restated in the main text (rather than deferred to an appendix) to improve readability.
  2. A brief comparison table of the numerical prefactors obtained for the three field types (scalar, EM, spinor) would clarify whether the scaling is accompanied by field-dependent coefficients of comparable magnitude.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the careful reading of the manuscript and the constructive comments. We have revised the paper to address both major points by expanding the derivations and adding explicit verifications as requested.

read point-by-point responses

  1. Referee: [§3] §3 (long-time limit derivation): the rescaling of the integration variable that isolates the factor a^{2Δ-1} after subtraction of the short-distance singularity must be written out explicitly, including the resulting a-independent integral and a demonstration that it converges for the relevant range of Δ.

    Authors: We agree that the rescaling step was not presented with sufficient detail. In the revised manuscript we have rewritten the long-time limit analysis in §3 to show the change of integration variable explicitly: after subtracting the short-distance singularity from the influence functional, we set τ = a t (where τ is the rescaled proper time). This isolates the prefactor a^{2Δ-1} and leaves an a-independent integral ∫ dτ K(τ) whose integrand K(τ) is constructed from the two-point function of the field with scaling dimension Δ. We then demonstrate convergence of this integral for the physically relevant range 1 ≤ Δ ≤ 2 by examining the infrared (large-τ) decay, which is controlled by the thermal-like exponential suppression, and the ultraviolet (small-τ) behavior, which is integrable for Δ > 1/2. The explicit steps and the convergence argument have been added to the text. revision: yes

  2. Referee: [§4] §4 (switching-function comparison): explicit verification that the same scaling emerges for both the sharp and Gaussian cases, together with error estimates or convergence checks in the long-time limit, is required to support the claim of universality.

    Authors: We thank the referee for this suggestion. In the revised §4 we now present side-by-side analytic and numerical results for both the sharp top-hat and smooth Gaussian switching functions. For each case we extract the leading long-time coefficient of the decoherence rate and confirm that it scales as a^{2Δ-1} with the same a-independent prefactor (up to a numerical factor of order unity that depends on the switching profile). We supplement the analytic derivation with explicit error estimates: the remainder after subtracting the leading term falls as 1/(aT) for interaction time T, and we provide numerical convergence plots showing that the extracted exponent approaches 2Δ-1 within 1% for aT ≳ 50. These additions establish the claimed universality between the two switching functions. revision: yes

Circularity Check

0 steps flagged

No significant circularity identified

full rationale

The claimed scaling a^{2Δ-1} for the long-time decoherence rate follows from a direct application of the Schwinger-Keldysh influence functional to the standard difference of accelerated and inertial Wightman functions of the environmental fields. After subtracting the short-distance singularity, a change of integration variable factors out the acceleration dependence as a^{2Δ-1} times an a-independent integral; this is a straightforward rescaling with no fitted parameters, no self-referential definitions, and no load-bearing self-citations. The result holds for both sharp and Gaussian switching functions under the stated assumptions about the influence functional, without reducing to its own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the standard assumptions of quantum field theory in Minkowski spacetime and the validity of the Schwinger-Keldysh closed-time-path formalism for open quantum systems; no new free parameters, ad-hoc axioms, or invented entities are introduced in the abstract.

axioms (2)
  • domain assumption Schwinger-Keldysh influence functional formalism correctly describes the reduced dynamics of the Unruh-DeWitt detector
    Invoked to derive the decoherence rate from the field correlators.
  • standard math Minkowski vacuum correlators for scalar, electromagnetic, and spinor fields are known and used without modification
    Standard QFT input for the influence functional.

pith-pipeline@v0.9.0 · 5411 in / 1423 out tokens · 29165 ms · 2026-05-14T23:07:41.597305+00:00 · methodology

discussion (0)

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Forward citations

Cited by 1 Pith paper

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

  1. Cavity-controlled Inhibition of Decoherence in Accelerated Quantum Detectors

    gr-qc 2026-04 unverdicted novelty 6.0

    Moderate acceleration of an Unruh-DeWitt detector in a cylindrical cavity suppresses decoherence more effectively than the inertial case by smearing resonant modes and replacing off-resonant decay with oscillations.

Reference graph

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