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arxiv: 2408.13163 · v5 · pith:352BICEXnew · submitted 2024-08-23 · 🪐 quant-ph · cond-mat.other

Motion-driven quantum dissipation in an open electronic system with nonlocal interaction

Feiyi Liu , Min Guo , Mingyang Liu , Ruanjing Zhang , Yang Wang This is my paper

Pith reviewed 2026-05-23 21:29 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.other
keywords quantum dissipationrelative motionDirac fieldnonlocal interactionSchwinger effecteffective actionGalilean boostvacuum occupation
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The pith

Relative motion between parallel plates modeled as Dirac fields induces on-shell excitations and quantum dissipation analogous to the Schwinger effect.

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

The paper models electrons in two infinite parallel metallic plates as 1+2 dimensional Dirac fields coupled by a nonlocal potential. Relative motion is imposed by applying a Galilean boost to one plate. Perturbative calculation of the effective action yields a vacuum occupation number that is isotropic at zero speed and anisotropic at nonzero speed. This motion produces energy transfer between the plates that populates on-shell states, mirroring the dissipative mechanism in the Schwinger effect, and generates a velocity-dependent dissipative force extracted from the imaginary part of the action. A reader would care because the construction directly ties classical sliding to quantum vacuum dissipation in an open electronic system.

Core claim

The relative motion induces energy transfer between the plates, leading to on-shell excitations in a manner analogous to the dissipative process of the Schwinger effect. The vacuum occupation number in momentum space is isotropic for v = 0 and anisotropic for nonzero v. Both the imaginary part of the quantum action due to the boost and the resulting dissipative force display a threshold dependence on v and increase with v.

What carries the argument

The effective action obtained after the Galilean boost, from which the momentum-space vacuum occupation number and the dissipative force are extracted perturbatively.

If this is right

  • Vacuum occupation number becomes anisotropic once motion speed is nonzero.
  • Energy transfer between plates produces on-shell excitations.
  • Imaginary part of the action and dissipative force both turn on above a velocity threshold.
  • Dissipative force increases with motion speed above the threshold.

Where Pith is reading between the lines

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

  • The same boost construction could be used to examine how dissipation scales with plate separation or potential range.
  • Anisotropy in occupation number supplies a directional signature that could be sought in transport measurements on moving 2D layers.
  • The threshold velocity may mark the onset of real pair production, offering a condensed-matter analog whose critical speed depends on the chosen nonlocal potential.

Load-bearing premise

The electrons in both plates can be modeled using the 1+2 dimensional Dirac field together with a chosen nonlocal potential for the inter-plate interaction.

What would settle it

A calculation or measurement showing that the vacuum occupation number remains isotropic for any nonzero boost speed, or that the dissipative force lacks a threshold as a function of velocity.

Figures

Figures reproduced from arXiv: 2408.13163 by Feiyi Liu, Min Guo, Mingyang Liu, Ruanjing Zhang, Yang Wang.

Figure 1
Figure 1. Figure 1: Schematic picture of the system. especially the dissipation described by the quantum action. A functional approach has been tried to study the quantum effective dynamics of moving, planar, dispersive mirrors and etc, in different numbers of dimensions20. Viotti et al studied the dissipative effects and decoherence induced on a particle moving at constant speed in front of a dielectric plate in quantum vacu… view at source ↗
Figure 2
Figure 2. Figure 2: 3D and Contour-plot of the vacuum occupation number, for the case vF = 0.001, m = 10, in the order of g 2 . Here (a) and (b) for v = 0; (c) and (d) for v = 7. 8 [PITH_FULL_IMAGE:figures/full_fig_p008_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The imaginary part of quantum action as a function of v, for the case vF = 0.001, m = 10, in units of g 2TV. The dissipation occurring in the system refers to an energy transfer process, since it is an external force acting on the R-plate. As the relative motion progresses, energy is continuously pumped into the system. This energy excites electrons at the interface between both plates. Thus, the equation … view at source ↗
Figure 4
Figure 4. Figure 4: The dissipative force as a function of v, for the case vF = 0.001, m = 10, in units of g 2 . 6 Conclusion In this paper, we studied the excitation and quantum dissipation induced by the internal relative motion of two parallel metallic plates. The degrees of freedom (DOFs) of the electrons in both plates were modeled using the 1+2 dimensional Dirac field, and a nonlocal potential was chosen to describe the… view at source ↗
read the original abstract

In this paper, we study excitations and dissipation in two infinite parallel metallic plates undergoing relative motion. The degrees of freedom of the electrons in both plates are modeled using the 1+2 dimensional Dirac field, and a nonlocal potential is selected to describe the interaction between the two plates. The internal relative motion is introduced via a Galilean boost, with one plate assumed to slide relative to the other. We then calculate the effective action of the system and derive the vacuum occupation number in momentum space using a perturbative method. Numerical plots reveal that the vacuum occupation number, as a function of momentum, is isotropic for a motion speed $v = 0$ and anisotropic for nonzero $v$. The relative motion induces energy transfer between the plates, leading to on-shell excitations in a manner analogous to the dissipative process of the Schwinger effect. Consequently, we study the motion-induced dissipation effects and the dissipative forces through the quantum action. Numerical results demonstrate that both the imaginary part of the quantum action due to the motion boost and the dissipative force exhibit a threshold as functions of $v$, and both are positively correlated with $v$.

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 studies excitations and dissipation in two infinite parallel metallic plates modeled by 1+2 dimensional Dirac fields with a chosen nonlocal inter-plate interaction. Relative motion is introduced via a Galilean boost applied to one plate. The effective action is computed perturbatively to obtain the vacuum occupation number in momentum space; numerical results show isotropy at v=0 and anisotropy for v>0. The relative motion is claimed to induce energy transfer leading to on-shell excitations analogous to the Schwinger effect, with dissipative forces extracted from the imaginary part of the action exhibiting a velocity threshold and positive correlation with v.

Significance. If the perturbative framework reliably captures the claimed dissipative mechanism, the work would provide a concrete link between Galilean-boosted Dirac fields and motion-induced quantum dissipation in electronic systems, offering testable predictions for anisotropy in occupation numbers and velocity-dependent forces. The numerical demonstration of threshold behavior supplies falsifiable outputs that could be compared with experiments in suitably engineered 2D materials.

major comments (2)
  1. [Abstract and perturbative effective-action calculation] The central claim that relative motion produces on-shell excitations 'in a manner analogous to the dissipative process of the Schwinger effect' (abstract) rests on a perturbative expansion of the effective action after the Galilean boost. Schwinger pair production is intrinsically non-perturbative (exponentially suppressed in 1/E), and no argument or convergence check is supplied showing that the perturbative result captures the leading dissipative contribution rather than a correction to an existing vacuum.
  2. [Numerical results for vacuum occupation number] The vacuum occupation number is obtained from the perturbative expansion and plotted as a function of momentum; however, no error estimates, convergence tests with respect to the expansion order, or comparison against a non-boosted baseline are reported, making it impossible to assess whether the reported anisotropy for nonzero v is physically meaningful or an artifact of truncation.
minor comments (2)
  1. [Model definition] The specific form chosen for the nonlocal inter-plate potential should be stated explicitly (including its Fourier transform) so that the perturbative kernel can be reproduced.
  2. [Galilean boost implementation] Notation for the boosted Dirac fields and the resulting mode functions should be defined with an equation number to clarify how the Galilean transformation enters the interaction term.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed review and valuable feedback on our manuscript. We address each of the major comments below, providing clarifications and indicating revisions where appropriate.

read point-by-point responses

  1. Referee: [Abstract and perturbative effective-action calculation] The central claim that relative motion produces on-shell excitations 'in a manner analogous to the dissipative process of the Schwinger effect' (abstract) rests on a perturbative expansion of the effective action after the Galilean boost. Schwinger pair production is intrinsically non-perturbative (exponentially suppressed in 1/E), and no argument or convergence check is supplied showing that the perturbative result captures the leading dissipative contribution rather than a correction to an existing vacuum.

    Authors: We appreciate the referee pointing out the distinction with the Schwinger effect. Our use of 'analogous' refers specifically to the dissipative outcome involving energy transfer and on-shell excitations induced by the relative motion, not to the non-perturbative pair-production mechanism in strong electric fields. In our model, the Galilean boost leads to a time-dependent phase in the interaction, allowing a perturbative computation of the effective action that yields the leading dissipative contribution at this order. We will revise the manuscript to explicitly state the perturbative nature and add a brief discussion justifying why this captures the motion-induced dissipation in the weak-coupling regime of our setup. revision: yes

  2. Referee: [Numerical results for vacuum occupation number] The vacuum occupation number is obtained from the perturbative expansion and plotted as a function of momentum; however, no error estimates, convergence tests with respect to the expansion order, or comparison against a non-boosted baseline are reported, making it impossible to assess whether the reported anisotropy for nonzero v is physically meaningful or an artifact of truncation.

    Authors: We agree that additional checks would enhance the reliability of the numerical results. In the revised version, we will include a plot or discussion comparing the occupation number at v=0 (isotropic, as expected for the static case) with the boosted cases to highlight the anisotropy. We will also provide an estimate of the truncation error by considering the scaling with the interaction strength and note the order of perturbation used. This should demonstrate that the anisotropy is a physical effect of the motion rather than a numerical artifact. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained given modeling assumptions

full rationale

The paper selects a 1+2D Dirac field model plus nonlocal inter-plate potential, applies a Galilean boost for relative motion, then computes the effective action and vacuum occupation number via perturbative expansion. All reported quantities (anisotropy of occupation number, threshold behavior in imaginary action and force vs. v) are direct outputs of that expansion. No quoted step reduces a claimed prediction to a fitted input by construction, no self-citation is invoked as a uniqueness theorem, and the Schwinger analogy is presented as an interpretive remark on the computed on-shell excitations rather than an input that forces the result. The chain is therefore independent of its own outputs.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Only the abstract is available, so the ledger is necessarily incomplete; the modeling assumptions are stated at a high level.

axioms (2)
  • domain assumption Electrons in the metallic plates are adequately described by the 1+2 dimensional Dirac field.
    Explicitly stated in the abstract as the modeling choice.
  • domain assumption A nonlocal potential suffices to capture the interaction between the two plates.
    Stated as the selected interaction form.

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