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arxiv: 2603.16765 · v2 · submitted 2026-03-17 · 🪐 quant-ph · cond-mat.mes-hall· gr-qc

Decoherence and the Reemergence of Coherence From a Superconducting "Horizon''

Eric J. Sung , Charles A. Stafford This is my paper

Pith reviewed 2026-05-15 09:40 UTC · model grok-4.3

classification 🪐 quant-ph cond-mat.mes-hallgr-qc
keywords decoherenceAndreev reflectionsuperconducting horizonanalogue gravityAharonov-Bohm interferometerproximity effectHawking radiation
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The pith

In a superconducting model of a black hole horizon, weak coupling decoheres an interferometer via Andreev reflection but stronger coupling restores coherence through resonant tunneling.

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

The paper examines how a normal-metal Aharonov-Bohm interferometer behaves when one arm is tunnel-coupled to a superconductor, treating Andreev reflection as the analogue of Hawking radiation. At weak coupling and zero temperature the scattering states lose coherence, reproducing the universal decoherence expected near a real black-hole horizon. As the tunnel coupling is increased, however, coherence returns because electrons tunnel resonantly through Andreev bound states that form at the interface. This reemergence suggests that virtual processes near an actual event horizon could similarly revive coherence in a nearby interferometer. The work therefore supplies both a concrete condensed-matter test of horizon-induced decoherence and a possible mechanism for its partial reversal.

Core claim

At absolute zero and weak tunnel coupling the interferometer's scattering states are decohered by Andreev reflection, a direct analogue of the DSW decoherence caused by a black-hole horizon. When the coupling strength is raised, resonant tunneling through Andreev bound states restores coherence, implying that transmission mediated by virtual Hawking radiation can reestablish coherence for an interferometer placed within a few Compton wavelengths of a real black-hole event horizon.

What carries the argument

Tunnel coupling of one arm of an Aharonov-Bohm interferometer to a superconductor, where Andreev bound states form at strong coupling and enable resonant transmission that revives coherence.

If this is right

  • Weak coupling produces decoherence whose magnitude tracks the strength of Andreev reflection, mirroring the universal effect of a horizon.
  • Increasing coupling populates Andreev bound states that mediate resonant transmission and thereby restore visibility of the Aharonov-Bohm interference.
  • The same virtual-process mechanism would, if the analogy holds, allow coherence to reappear within a few Compton wavelengths of a real black-hole horizon.
  • The effect is predicted to be observable at zero temperature in existing superconducting hybrid devices.

Where Pith is reading between the lines

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

  • The result suggests that laboratory superconducting circuits could be tuned to simulate both the decohering and recohering regimes near horizons, offering a controllable testbed for quantum-gravity-inspired effects.
  • If the reemergence survives finite temperature or disorder, it could guide searches for coherence-preserving channels in strong gravitational fields.
  • The same bound-state mechanism might apply to other horizon analogues, such as sonic or optical black holes, provided a resonant transmission channel can be engineered.

Load-bearing premise

The superconducting tunnel-junction model reproduces the essential decoherence and recoherence physics of a gravitational horizon without extra condensed-matter effects that have no counterpart near a black hole.

What would settle it

A measurement showing that coherence remains suppressed at all coupling strengths, or that the predicted reemergence window disappears when the superconductor gap or interface transparency is varied, would falsify the claim.

Figures

Figures reproduced from arXiv: 2603.16765 by Charles A. Stafford, Eric J. Sung.

Figure 1
Figure 1. Figure 1: FIG. 1. (a) Schematic diagram of a normal metal inter [PITH_FULL_IMAGE:figures/full_fig_p001_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. Andreev self-energy Σ [PITH_FULL_IMAGE:figures/full_fig_p002_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3. Transmission [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. Contrast [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5. Dephasing Γ [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
read the original abstract

In a recent paper [arXiv:2205.06279], Danielson et al. demonstrated that the mere presence of a black hole causes universal decoherence of quantum superpositions (dubbed the DSW decoherence). We analyze decoherence in a superconducting analogue [arXiv:1709.06154] of the event horizon of a black hole, where Andreev reflection plays the role of Hawking radiation. We consider a normal metal interferometer threaded by an Aharonov-Bohm flux, where one of the arms of the interferometer is coupled to a superconductor by a tunnel coupling of varying strength. At absolute zero temperature and for weak coupling, we find that the scattering states of the interferometer are decohered by Andreev reflection, a nontrivial manifestation of the proximity effect analogous to DSW decoherence from the event horizon of a black hole. However, for increasing coupling strength to the superconductor, we find a reemergence of coherence via resonant tunneling through Andreev bound states. This suggests the existence of an analogue gravitational phenomenon wherein transmission mediated by virtual Hawking radiation leads to a reemergence of coherence in an interferometer placed within a few Compton wavelengths of a black hole's event horizon.

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

3 major / 2 minor

Summary. The manuscript examines decoherence in a superconducting analogue of a black-hole event horizon, where Andreev reflection models Hawking radiation. In a normal-metal Aharonov-Bohm interferometer with one arm tunnel-coupled to a superconductor, weak coupling produces decoherence of scattering states analogous to the DSW effect, while stronger coupling yields reemergence of coherence via resonant tunneling through Andreev bound states; this is interpreted as evidence for an analogue gravitational process in which virtual Hawking radiation mediates transmission and restores coherence near the horizon.

Significance. If a rigorous, parameter-independent mapping between the Andreev-bound-state resonances and virtual Hawking processes can be established, the result would supply a concrete condensed-matter platform for testing quantum-coherence restoration near horizons, extending analogue-gravity studies beyond decoherence alone and offering falsifiable predictions for interferometric visibility at strong coupling.

major comments (3)
  1. [Abstract] Abstract and central claim: the assertion that reemergence occurs via 'transmission mediated by virtual Hawking radiation' lacks an explicit dictionary translating the Andreev-bound-state resonance condition (energies and widths set by tunnel amplitude t and coherence length) into an equivalent gravitational process involving vacuum fluctuations and the horizon metric; without this mapping the analogue interpretation remains an extrapolation.
  2. [Strong coupling analysis] Strong-coupling regime: the reemergence is demonstrated by varying the tunnel-coupling strength, yet the manuscript does not show that the resonance condition or the restored visibility is independent of this tunable parameter or maps onto a black-hole parameter (e.g., distance in Compton wavelengths) without circularity.
  3. [Model and assumptions] Model fidelity: the superconducting gap and discrete Andreev spectrum introduce condensed-matter features (pairing potential, interface scattering) absent from the gravitational horizon; a concrete comparison demonstrating that these do not alter the claimed re-coherence physics is required to support the analogue claim.
minor comments (2)
  1. [Introduction] The reference to arXiv:2205.06279 should include a one-sentence recap of the DSW decoherence result to clarify the baseline analogy for readers unfamiliar with the prior work.
  2. [Results] Quantitative measures (visibility, visibility contrast, or error estimates) should accompany any plots of coherence reemergence to allow assessment of the effect size beyond qualitative statements.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the thorough reading and valuable comments, which have helped us clarify the scope and presentation of our analogue-gravity analysis. We address each major comment below and indicate the revisions we will make to the manuscript.

read point-by-point responses

  1. Referee: [Abstract] Abstract and central claim: the assertion that reemergence occurs via 'transmission mediated by virtual Hawking radiation' lacks an explicit dictionary translating the Andreev-bound-state resonance condition (energies and widths set by tunnel amplitude t and coherence length) into an equivalent gravitational process involving vacuum fluctuations and the horizon metric; without this mapping the analogue interpretation remains an extrapolation.

    Authors: We agree that an explicit dictionary strengthens the claim. In the revised manuscript we will insert a new paragraph (and accompanying table) in the Discussion section that maps the tunnel amplitude t to an effective gravitational coupling (or horizon proximity in units of the Compton wavelength), the Andreev-bound-state energies and widths to the spectrum of virtual Hawking modes, and the resonance condition to the scale at which virtual pair creation mediates transmission. This dictionary is constructed from the established Andreev–Hawking correspondence already cited in the manuscript and does not rely on circular reasoning. revision: yes

  2. Referee: [Strong coupling analysis] Strong-coupling regime: the reemergence is demonstrated by varying the tunnel-coupling strength, yet the manuscript does not show that the resonance condition or the restored visibility is independent of this tunable parameter or maps onto a black-hole parameter (e.g., distance in Compton wavelengths) without circularity.

    Authors: The tunnel coupling t is the direct analogue control parameter for the distance to the horizon. Stronger t corresponds to placing the interferometer closer to the horizon analogue (within a few Compton wavelengths), while weaker t corresponds to larger separations. The resonance condition and visibility restoration are therefore expected to depend on t; the physical content of the result is that this dependence reproduces the qualitative behavior anticipated for a real black-hole interferometer. In the revision we will add an explicit statement of this mapping together with a short analytic argument showing that the visibility peak occurs when the effective separation drops below the Compton scale, thereby removing any appearance of circularity. revision: yes

  3. Referee: [Model and assumptions] Model fidelity: the superconducting gap and discrete Andreev spectrum introduce condensed-matter features (pairing potential, interface scattering) absent from the gravitational horizon; a concrete comparison demonstrating that these do not alter the claimed re-coherence physics is required to support the analogue claim.

    Authors: We will add a concise comparison subsection that isolates the role of the superconducting gap and discreteness. The weak-coupling decoherence is shown to be insensitive to the gap magnitude once the Andreev reflection probability is fixed, reproducing the universal DSW form. The strong-coupling reemergence arises solely from resonant transmission through the Andreev states, whose existence is the direct analogue of virtual Hawking pair creation; the gap merely sets the overall energy window without changing the qualitative coherence restoration. We will note that analogous material-specific cutoffs appear in every condensed-matter or optical analogue-gravity experiment yet do not invalidate the core mapping. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation of re-coherence

full rationale

The paper computes decoherence at weak tunnel coupling and reemergence at strong coupling directly from the scattering states and resonant tunneling through Andreev bound states in the NS interferometer model. These outcomes are obtained by solving the standard Bogoliubov-de Gennes equations for the proximity effect and Aharonov-Bohm interferometer, which are independent of the gravitational mapping. The analogy to DSW decoherence and virtual Hawking radiation is offered only as a post-hoc suggestion, not as a load-bearing step that reduces the result to a self-citation, fitted parameter renamed as prediction, or self-definitional loop. No equations or claims in the derivation chain exhibit the required reduction to inputs by construction.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The work inherits the superconducting-horizon analogy from prior literature and introduces one tunable parameter (tunnel coupling strength) whose value controls the transition; no new particles or forces are postulated.

free parameters (1)
  • tunnel coupling strength
    The parameter is varied continuously to locate the crossover from decoherence to coherence restoration; its specific values are not derived from first principles but chosen to illustrate the effect.
axioms (1)
  • domain assumption Andreev reflection at the normal-superconductor interface plays the role of Hawking radiation at a black-hole horizon
    Invoked in the abstract as the basis for the entire analogy.

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