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arxiv: 2604.12629 · v1 · submitted 2026-04-14 · 🪐 quant-ph

Mutual information harvesting for circularly accelerated detectors

Mingkun Quan , Runhu Li , Zixu Zhao This is my paper

Pith reviewed 2026-05-10 15:19 UTC · model grok-4.3

classification 🪐 quant-ph
keywords mutual information harvestingcircular accelerationUnruh-DeWitt detectorsreflecting boundaryvacuum fluctuationsoscillatory behaviorquantum correlations
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The pith

Circularly accelerated detectors harvest mutual information that oscillates with separation near reflecting boundaries.

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

The paper examines two detectors moving along identical circular trajectories with equal acceleration, coupled to a massless scalar field in the presence of a reflecting boundary, to determine the mutual information they can extract from the field. It reports that at large accelerations and small radii the harvested mutual information oscillates as detector separation grows, with the oscillations becoming stronger close to the boundary. This pattern is traced to the way rapid rotation alters vacuum fluctuations and produces interference from reflected field modes. A reader would care because the findings indicate how acceleration parameters and boundaries can shape extractable quantum correlations in relativistic settings.

Core claim

The mutual information harvested by two circularly accelerated detectors coupled to a massless scalar field near a reflecting boundary exhibits oscillatory behavior as interdetector separation increases when acceleration is large and trajectory radius is small. The oscillations intensify near the boundary owing to coherent superposition of reflections. For fixed radius, larger acceleration produces larger peak mutual information. With rising acceleration, mutual information for small separations first increases then decreases while intermediate separations show oscillations. At large acceleration and small radius, mutual information with increasing energy gap first decreases, then oscillates

What carries the argument

The two-point correlation functions of the massless scalar field, used to compute the mutual information extracted by the pair of Unruh-DeWitt detectors.

If this is right

  • For a fixed radius, increasing acceleration raises the peak value of the mutual information.
  • Mutual information for small separations first rises then falls as acceleration grows.
  • Oscillations appear in mutual information for intermediate separations with rising acceleration.
  • Near the boundary the mutual information reaches its largest values and oscillates most strongly.

Where Pith is reading between the lines

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

  • Acceleration and radius could serve as tunable parameters to control the amount and variability of harvested information.
  • The role of boundary reflections suggests similar oscillatory patterns may appear in other bounded geometries or analog systems.
  • Fast rotation modifies vacuum fluctuations in a way that might link linear Unruh effects to rotational analogs in quantum information extraction.

Load-bearing premise

The mutual information can be reliably obtained from the field's two-point functions under the standard weak-coupling perturbative treatment of the detectors without significant back-reaction.

What would settle it

A calculation or measurement showing strictly monotonic mutual information without oscillations when acceleration is increased at small radii and near the boundary would falsify the central claim.

Figures

Figures reproduced from arXiv: 2604.12629 by Mingkun Quan, Runhu Li, Zixu Zhao.

Figure 1
Figure 1. Figure 1: FIG. 1: The circular motion of two UDW detectors A and B is cons [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4: Angular velocity [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p010_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6 [PITH_FULL_IMAGE:figures/full_fig_p010_6.png] view at source ↗
Figure 7
Figure 7. Figure 7: FIG. 7: The mutual information as a function of ∆ [PITH_FULL_IMAGE:figures/full_fig_p011_7.png] view at source ↗
Figure 8
Figure 8. Figure 8: The mutual information increases and eventually goes to a stable value. For a not large L/σ = 0.10 or a large aσ = 5.00, a larger energy gap difference corresponds to a smaller mutual information. For large L/σ = 10.00 and small aσ = 0.10, there are intersections for different curves. In [PITH_FULL_IMAGE:figures/full_fig_p012_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p013_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p013_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p014_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: The mutual information [PITH_FULL_IMAGE:figures/full_fig_p015_12.png] view at source ↗
read the original abstract

We investigate the mutual information harvesting of two circularly accelerated detectors that interact with the massless scalar fields near a reflecting boundary. We consider that the two detectors share a common rotational axis with the same acceleration and trajectory radius. As the interdetector separation increases, the mutual information may exhibit oscillatory behavior at large acceleration and small radius. For a fixed radius, a larger acceleration leads to a larger peak value of the mutual information. Near the boundary, the mutual information may oscillate and the maximum can be obtained. As the acceleration increases, the mutual information in a small interdetector separation first increases and then decreases. For an intermediate interdetector separation, the mutual information may oscillate with the increase of acceleration. For a not large interdetector separation, when we take large acceleration and small radius, as the energy gap increases, the mutual information first decreases, then oscillates, and finally goes to zero. The combination of large acceleration and small radius corresponds to the fast rotation, which significantly modifies the vacuum fluctuations of the field, leading to the oscillatory behavior. Furthermore, the oscillation intensifies near the boundary, which indicates that it is related to the coherent superposition of boundary reflections.

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

1 major / 3 minor

Summary. The manuscript studies mutual information harvesting by two Unruh-DeWitt detectors undergoing identical circular acceleration around a common axis while interacting with a massless scalar field near a reflecting boundary. The authors report that the mutual information exhibits oscillatory behavior as a function of inter-detector separation for large accelerations and small radii (corresponding to fast rotation), with oscillations intensifying near the boundary due to modified vacuum fluctuations and coherent boundary reflections. They further describe parameter dependencies, including how mutual information varies with acceleration (initial increase then decrease for small separations), energy gap (decrease then oscillation then zero for large a and small R), and other regimes.

Significance. If the results hold under a controlled approximation, this would extend entanglement harvesting literature to mutual information in circular accelerated trajectories with boundaries, illustrating how non-inertial motion can induce oscillatory quantum correlations. It adds to studies of the Unruh effect and relativistic quantum information by highlighting boundary and rotation effects on field correlators. The work could interest researchers in quantum field theory with boundaries and detector models, though the qualitative abstract and potential perturbative limitations reduce immediate impact.

major comments (1)
  1. [Computational method section] The central claim of oscillatory mutual information for large acceleration a and small radius R rests on the second-order perturbative calculation of the reduced density matrix using the two-point Wightman function. However, as the correlations are enhanced in this regime (due to acceleration and boundary reflections via method of images), the dimensionless quantity λ² times the integrated correlator may approach or exceed O(1), rendering higher-order terms important. This undermines the reliability of the reported oscillations without additional validation such as error estimates or non-perturbative checks. (Computational method section)
minor comments (3)
  1. [Abstract] The abstract describes qualitative behaviors but does not include any equations, numerical methods, or error estimates, contrary to standard practice for computational papers in this field.
  2. Notation for parameters such as acceleration a, radius R, energy gap Ω, and separation d should be consistently defined early in the paper with clear dimensionless combinations used in the analysis.
  3. Figure captions should clearly indicate the specific parameter values (a, R, Ω, d) used for each plot to allow reproducibility and direct comparison with the described regimes.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for the careful reading and constructive feedback on our manuscript. We address the major comment point by point below, with a commitment to revise the manuscript where appropriate to strengthen the presentation of our results.

read point-by-point responses

  1. Referee: [Computational method section] The central claim of oscillatory mutual information for large acceleration a and small radius R rests on the second-order perturbative calculation of the reduced density matrix using the two-point Wightman function. However, as the correlations are enhanced in this regime (due to acceleration and boundary reflections via method of images), the dimensionless quantity λ² times the integrated correlator may approach or exceed O(1), rendering higher-order terms important. This undermines the reliability of the reported oscillations without additional validation such as error estimates or non-perturbative checks. (Computational method section)

    Authors: We appreciate the referee highlighting this critical point on the validity of the perturbative approximation. Our calculations are performed in the weak-coupling regime, where we select the detector-field coupling λ sufficiently small that the second-order contribution to the reduced density matrix remains the leading term. For the specific parameter values reported (including large a and small R), we have ensured through direct numerical evaluation that λ² times the integrated Wightman correlator stays well below unity (typically ≪ 0.1), consistent with the perturbative expansion. That said, we agree that explicit validation would improve the manuscript's rigor. We will revise the Computational method section (and add an appendix if needed) to include error estimates, such as plots or tables of the magnitude of λ² ∫ W(τ,τ') dτ dτ' across the relevant parameter space, particularly in the regimes exhibiting oscillations. This will confirm that higher-order terms do not alter the qualitative features reported. No non-perturbative methods are employed in the current work, but the added estimates will address the concern directly. revision: yes

Circularity Check

0 steps flagged

No circularity: direct perturbative computation from field correlators

full rationale

The paper computes mutual information harvesting via the standard second-order perturbative expansion of the Unruh-DeWitt detector interaction with the massless scalar field, extracting I(A:B) from the two-point Wightman functions along the circular trajectories (including method-of-images boundary contributions). No parameters are fitted to the target mutual information, no self-definitional loops appear in the derivation, and the oscillatory behavior is reported as an output of the explicit integrals rather than an input assumption. The central claims rest on direct evaluation of the reduced density matrix elements without reducing to self-citation chains or renamed empirical patterns. This is a self-contained numerical/analytic result within the weak-coupling framework.

Axiom & Free-Parameter Ledger

4 free parameters · 3 axioms · 0 invented entities

The central claim rests on standard assumptions of quantum field theory for a massless scalar field in flat space with a perfect reflecting boundary, together with the Unruh-DeWitt detector model and perturbative extraction of mutual information from two-point functions. No new entities are postulated.

free parameters (4)
  • acceleration a
    Parameter controlling the proper acceleration of both detectors
  • trajectory radius R
    Radius of the common circular orbit
  • energy gap Omega
    Energy difference between ground and excited state of each detector
  • inter-detector separation d
    Distance between the two detectors along their trajectories
axioms (3)
  • domain assumption Massless scalar field in Minkowski spacetime with Dirichlet (reflecting) boundary conditions
    Standard background for the field modes
  • domain assumption Unruh-DeWitt detector model with linear coupling to the field
    Standard phenomenological model for localized detectors
  • domain assumption Weak-coupling, first-order perturbation theory for the interaction
    Assumption allowing mutual information to be computed from vacuum two-point functions

pith-pipeline@v0.9.0 · 5500 in / 1561 out tokens · 51265 ms · 2026-05-10T15:19:01.511339+00:00 · methodology

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Reference graph

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