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arxiv: 2605.18970 · v1 · pith:VQM3OTJInew · submitted 2026-05-18 · ❄️ cond-mat.supr-con · quant-ph

Signatures of Gaussian superconducting fluctuations in nonlocal noise magnetometry

Dror Orgad This is my paper

Pith reviewed 2026-05-20 07:22 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con quant-ph
keywords Gaussian superconducting fluctuationstwo-point magnetic noisenonlocal magnetometrytime-dependent Ginzburg-Landau theoryhigh-temperature superconductorsspin qubitsvortex liquid
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The pith

Gaussian superconducting fluctuations produce a two-point magnetic noise spectrum measurable by spin qubit pairs such as nitrogen-vacancy centers.

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

The paper calculates the magnetic noise generated by Gaussian superconducting fluctuations in two-dimensional systems and wires. This noise arises directly from fluctuating Cooper pairs through current correlations and is accessible to measurements with pairs of spin qubits. The work applies time-dependent Ginzburg-Landau theory to both equilibrium conditions and a uniform electric field. The resulting signatures are predicted to be strongest in high-temperature superconductors and to differ from those of a vortex liquid, providing a new experimental route to identify the character of fluctuations near the transition.

Core claim

We calculate the two-point magnetic noise spectrum arising from Gaussian superconducting fluctuations, a quantity directly measurable by spin qubit pairs such as nitrogen vacancy centers in diamond. The analysis utilizes the time-dependent Ginzburg-Landau theory, reflecting the direct contribution of fluctuating Cooper pairs to the current correlations and consequent magnetic noise. We treat both two-dimensional systems and wires, considering them in equilibrium and under a uniform electric field. The signal is expected to be strongest in high-temperature superconductors, and we contrast our findings with the predicted signatures of a vortex liquid to offer an additional route to elucidate 1

What carries the argument

Time-dependent Ginzburg-Landau theory applied to current correlations produced by fluctuating Cooper pairs, which determines the two-point magnetic noise spectrum.

If this is right

  • The noise signal reaches maximum strength in high-temperature superconductors.
  • Distinct signatures appear for both two-dimensional films and one-dimensional wires.
  • The spectrum can be observed in equilibrium as well as under an applied uniform electric field.
  • The predicted form differs from vortex-liquid noise, allowing experimental distinction between fluctuation types.

Where Pith is reading between the lines

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

  • Nonlocal magnetometry with spin-qubit pairs could be applied to cuprate materials to test whether observed fluctuations above Tc remain in the Gaussian regime.
  • Material-specific calculations based on this framework could guide targeted experiments that separate Gaussian contributions from other proposed mechanisms.
  • The method offers a spatially resolved probe that complements local transport or thermodynamic measurements near the superconducting transition.

Load-bearing premise

The time-dependent Ginzburg-Landau theory accurately captures the Gaussian regime of superconducting fluctuations for the geometries and conditions examined.

What would settle it

A spin-qubit measurement of the two-point magnetic noise spectrum above the critical temperature in a high-temperature superconductor that does not match the calculated spectrum from the time-dependent Ginzburg-Landau theory.

Figures

Figures reproduced from arXiv: 2605.18970 by Dror Orgad.

Figure 1
Figure 1. Figure 1: FIG. 1: The geometry of the two-dimensional system. The [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3 [PITH_FULL_IMAGE:figures/full_fig_p003_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: shows the dependence of the magnetic noise amplitude on the NV center positions. At large distances, the amplitude decays asymptotically following a power law, scaling as z −2 c and ∆r −3 for large zc and ∆r, respec￾tively. Also notable is the non-monotonic dependence on zc for large ∆r. We can analytically derive this behavior, as well as the aforementioned frequency dependence, for a couple of scenarios,… view at source ↗
Figure 5
Figure 5. Figure 5: FIG. 5 [PITH_FULL_IMAGE:figures/full_fig_p005_5.png] view at source ↗
Figure 8
Figure 8. Figure 8: FIG. 8: Polar representation of [PITH_FULL_IMAGE:figures/full_fig_p006_8.png] view at source ↗
Figure 9
Figure 9. Figure 9: FIG. 9: The geometry of the one-dimensional system with the [PITH_FULL_IMAGE:figures/full_fig_p009_9.png] view at source ↗
Figure 10
Figure 10. Figure 10: FIG. 10 [PITH_FULL_IMAGE:figures/full_fig_p010_10.png] view at source ↗
Figure 11
Figure 11. Figure 11: FIG. 11: Contour plot of [PITH_FULL_IMAGE:figures/full_fig_p010_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: FIG. 12: Contour plot of [PITH_FULL_IMAGE:figures/full_fig_p011_12.png] view at source ↗
read the original abstract

We calculate the two-point magnetic noise spectrum arising from Gaussian superconducting fluctuations, a quantity directly measurable by spin qubit pairs such as nitrogen vacancy centers in diamond. The analysis utilizes the time-dependent Ginzburg-Landau theory, reflecting the direct contribution of fluctuating Cooper pairs to the current correlations and consequent magnetic noise. We treat both two-dimensional systems and wires, considering them in equilibrium and under a uniform electric field. The signal is expected to be strongest in high-temperature superconductors, and we contrast our findings with the predicted signatures of a vortex liquid to offer an additional route to elucidate the nature of fluctuations in these systems.

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 / 2 minor

Summary. The manuscript calculates the two-point magnetic noise spectrum arising from Gaussian superconducting fluctuations using time-dependent Ginzburg-Landau theory. The analysis treats two-dimensional films and wires both in equilibrium and under a uniform electric field, links order-parameter fluctuations to current correlations and thus to magnetic noise measurable by NV-center spin-qubit pairs, and contrasts the predicted signatures with those of a vortex liquid, noting that the signal should be strongest in high-Tc materials.

Significance. If the derivations hold, the work supplies a concrete, falsifiable prediction for a directly measurable quantity that could distinguish Gaussian fluctuations from vortex-liquid physics in the same experimental geometry. The parameter-free construction and explicit treatment of both equilibrium and driven cases add to its utility as a diagnostic tool for fluctuation spectroscopy in superconductors.

major comments (1)
  1. [Abstract and §2] Abstract and §2: the validity of the TDGL framework for the Gaussian regime under the stated geometries and drive conditions is asserted without an explicit bound (e.g., a temperature or field window relative to the coherence length or depairing current). Because this assumption underpins the mapping from order-parameter fluctuations to current correlations, a short paragraph or inequality establishing the regime of applicability is required for the central claim.
minor comments (2)
  1. [Abstract] Abstract: the phrase 'two-point magnetic noise spectrum' is introduced without a one-sentence definition or scaling form; adding this would make the central observable immediately clear to readers outside the subfield.
  2. Notation: ensure that symbols for the noise spectral density, the order-parameter correlator, and the electric-field drive are defined at first appearance and used consistently between the abstract and the main text.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the constructive comment on the applicability of the TDGL framework. We address this point explicitly below and have revised the manuscript to incorporate the requested clarification.

read point-by-point responses

  1. Referee: [Abstract and §2] Abstract and §2: the validity of the TDGL framework for the Gaussian regime under the stated geometries and drive conditions is asserted without an explicit bound (e.g., a temperature or field window relative to the coherence length or depairing current). Because this assumption underpins the mapping from order-parameter fluctuations to current correlations, a short paragraph or inequality establishing the regime of applicability is required for the central claim.

    Authors: We agree that an explicit statement of the regime of validity strengthens the central claim. In the revised manuscript we have added a new paragraph at the close of Section 2 that specifies the conditions under which the TDGL description of Gaussian fluctuations remains valid. The paragraph states that the approach applies when the reduced temperature satisfies |T − Tc|/Tc ≪ 1 (so that the Ginzburg number is small and amplitude fluctuations are perturbative) and when the applied electric field lies well below the depairing field, E ≪ Edep ∼ ħ/(e ξ τGL), ensuring that the order-parameter fluctuations remain Gaussian and the mapping to current correlations is justified. We also note that these bounds are standard for the TDGL treatment of 2D films and quasi-1D wires and cite the relevant literature. This addition directly addresses the referee’s concern without altering the subsequent derivations. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the derivation

full rationale

The paper computes the two-point magnetic noise spectrum directly from the time-dependent Ginzburg-Landau equations applied to Gaussian order-parameter fluctuations, linking them to current correlations and measurable magnetic noise for NV-center pairs. The treatment is applied independently to 2D films and wires, both in equilibrium and under uniform electric field, with explicit contrast to vortex-liquid signatures. No self-definitional steps, fitted inputs renamed as predictions, or load-bearing self-citations appear in the construction; the central result follows from the TDGL framework without reducing to its own inputs by definition or construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on the applicability of time-dependent Ginzburg-Landau theory to Gaussian superconducting fluctuations and the assumption that this framework directly yields the measurable magnetic noise spectrum.

axioms (2)
  • domain assumption Time-dependent Ginzburg-Landau theory accurately captures the dynamics of Gaussian superconducting fluctuations and their contribution to current correlations.
    Explicitly invoked in the abstract as the basis for the noise calculation.
  • domain assumption The Gaussian approximation is sufficient to describe the relevant fluctuation regime in the systems considered.
    The paper focuses on Gaussian fluctuations without higher-order corrections.

pith-pipeline@v0.9.0 · 5618 in / 1338 out tokens · 46421 ms · 2026-05-20T07:22:06.470206+00:00 · methodology

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Reference graph

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