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arxiv: 2606.18084 · v1 · pith:2F6OJBW3new · submitted 2026-06-16 · ❄️ cond-mat.supr-con · cond-mat.mes-hall· physics.optics· quant-ph

Cavity-enhanced superconducting response in an underdoped cuprate

Angela Montanaro , Vadim Plastovets , Nitesh Khatiwada , Jacopo Fiore , Giacomo Jarc , Abdullah Alabbadi , Antonio Mastropasqua , Enrico Maria Rigoni
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Shahla Y. Mathengattil Simone Dal Zilio Francesca Fassioli Olsen Fabio Novelli Stephan Winnerl Michael A. Sentef Dante M. Kennes Andrew J. Millis Francesco Piazza Daniele Fausti
This is my paper

Pith reviewed 2026-06-26 21:58 UTC · model grok-4.3

classification ❄️ cond-mat.supr-con cond-mat.mes-hallphysics.opticsquant-ph
keywords cuprate superconductorscavity engineeringphase fluctuationssuperfluid densityterahertz spectroscopyYBa2Cu3O7underdoped regime
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The pith

Placing an underdoped cuprate in a tunable terahertz cavity increases its superfluid weight and raises the superconducting onset temperature.

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

The paper investigates whether engineering the electromagnetic environment can stabilize superconducting coherence in underdoped cuprates, where phase fluctuations limit global coherence. Using temperature-dependent terahertz transmission on a YBa2Cu3O7-δ film inside a cavity with a semi-transparent gold mirror, they observe an enhanced superconducting response below the critical temperature. The effect strengthens at smaller cavity lengths and includes an upward shift in the onset temperature. A cavity-coupled model for phase-fluctuating superconductors reproduces the trends, pointing to cavity-enhanced phase stiffness as the mechanism. This suggests cavity engineering as a way to modify collective states in quantum materials.

Core claim

From temperature-dependent terahertz transmission measurements, the cavity enhances the superconducting response below the critical temperature, with an increase of the inferred superfluid weight. The effect becomes more pronounced at smaller cavity lengths and is accompanied by an upward shift of the superconducting onset temperature. Calculations based on a cavity-coupled model for phase-fluctuating superconductors capture these trends and support an interpretation in terms of cavity-enhanced phase stiffness.

What carries the argument

Cavity-coupled model for phase-fluctuating superconductors, which modifies the phase stiffness through the electromagnetic environment of the tunable terahertz cavity.

If this is right

  • Cavity enhancement of superfluid weight increases as cavity length decreases.
  • Superconducting onset temperature shifts upward in the presence of the cavity.
  • Cavity engineering can stabilize coherence in systems limited by phase fluctuations.
  • These changes arise from modification of the electromagnetic environment rather than changes to the material itself.

Where Pith is reading between the lines

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

  • If the model holds, similar cavity effects could appear in other materials with strong phase fluctuations such as organic superconductors.
  • Varying the cavity resonance frequency independently of length could test whether the enhancement depends on matching specific modes.
  • Extending to higher doping or different cuprates might reveal how pairing strength interacts with the cavity effect.

Load-bearing premise

The changes in terahertz transmission are due only to the cavity-modified electromagnetic environment and not to any unintended alteration of the film or its interface with the mirror.

What would settle it

If repeating the terahertz measurements on the same film outside the cavity or with a different mirror shows the same increase in superfluid weight, or if the model fails to predict the dependence on cavity length.

Figures

Figures reproduced from arXiv: 2606.18084 by Abdullah Alabbadi, Andrew J. Millis, Angela Montanaro, Antonio Mastropasqua, Daniele Fausti, Dante M. Kennes, Enrico Maria Rigoni, Fabio Novelli, Francesca Fassioli Olsen, Francesco Piazza, Giacomo Jarc, Jacopo Fiore, Michael A. Sentef, Nitesh Khatiwada, Shahla Y. Mathengattil, Simone Dal Zilio, Stephan Winnerl, Vadim Plastovets.

Figure 1
Figure 1. Figure 1: Cavity control of phase coherence in underdoped YBa2Cu3O7-δ. a, Phase fluctuations of the order parameter are widely discussed as an important factor limiting superconductivity in high-Tc cuprates. In underdoped (UD) samples, evidence for incoherent local pairing has been reported throughout the pseudogap phase. We investigate whether the presence of a mirror in proximity to the superconductor could effect… view at source ↗
Figure 2
Figure 2. Figure 2: Enhanced superconducting response in a terahertz cavity. a, Temperature-dependent transmitted THz electric field for a representative cavity length (L=435 µm). THz traces recorded at T > Tc (orange) and at T < Tc (purple) are plotted in the inset of panel (b). On cooling below Tc, the THz waveform shows both a reduction in transmission and a shift in arrival time of the peak, consistent with the emergence … view at source ↗
Figure 4
Figure 4. Figure 4: Signatures of enhanced phase stiffness in the cavity. a, Normalized temperature derivatives of the data in Figure 3c, highlighting the evolution of the superconducting transition inside the cavity (coloured curves) relative to the film outside the cavity (black curve). The transition shows a small upward shift of the onset temperature, indicated by the horizontal arrow. b, Results of calculations for a cav… view at source ↗
read the original abstract

Superconductors carry electrical current without resistance when paired electrons condense into a coherent macroscopic quantum state. In underdoped cuprates, evidence suggests that pairing-related correlations and superconducting fluctuations can survive above the temperature at which global coherence is lost, pointing to phase fluctuations as a key limitation on superconductivity in this regime. Motivated by recent demonstrations of cavity-modified collective states in quantum materials, we investigate whether superconducting coherence can be stabilized by engineering the electromagnetic environment of the superconductor. We study an underdoped YBa$_2$Cu$_3$O$_{7-\delta}$ thin film in a tunable terahertz cavity formed with a semi-transparent gold mirror. From temperature-dependent terahertz transmission measurements, we find that the cavity enhances the superconducting response below the critical temperature, with an increase of the inferred superfluid weight. The effect becomes more pronounced at smaller cavity lengths and is accompanied by an upward shift of the superconducting onset temperature. Calculations based on a cavity-coupled model for phase-fluctuating superconductors capture these trends and support an interpretation in terms of cavity-enhanced phase stiffness. These results showcase the potential of cavity engineering for designing emergent functionalities in correlated 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

3 major / 0 minor

Summary. The manuscript reports terahertz transmission measurements on an underdoped YBa₂Cu₃O₇₋δ thin film inside a tunable cavity formed with a semi-transparent gold mirror. It claims that the cavity enhances the superconducting response below Tc, increasing the inferred superfluid weight (more strongly at smaller cavity lengths) and shifting the superconducting onset temperature upward. A cavity-coupled model for phase-fluctuating superconductors is stated to reproduce the trends and to support an interpretation in terms of cavity-enhanced phase stiffness.

Significance. If the central claims are substantiated, the result would be significant for the field of cavity quantum electrodynamics applied to correlated electron systems. It would provide evidence that electromagnetic boundary conditions can stabilize phase coherence in underdoped cuprates, where phase fluctuations are thought to limit global superconductivity, and would extend recent demonstrations of cavity-modified collective states to a technologically relevant material class.

major comments (3)
  1. [Abstract] Abstract and experimental description: the central claim that superfluid weight increases rests on an unstated conversion from measured transmission to superfluid density; no explicit formulas, error bars, raw spectra, or sample-characterization details are supplied, so the magnitude and statistical significance of the reported enhancement cannot be evaluated.
  2. [Abstract] Abstract and model-comparison paragraphs: the cavity-coupling strength is listed as a free parameter; without an independent determination (e.g., from geometry or a separate measurement) or a statement of how its value was fixed before comparing to data, the model agreement risks circularity and does not independently corroborate the phase-stiffness interpretation.
  3. [Abstract] Abstract (weakest-assumption paragraph): the attribution of all observed changes to cavity-modified electromagnetic boundary conditions assumes that mirror placement introduces no mechanical strain, interfacial layer, or oxygen-content alteration to the film; no post-assembly film-integrity checks or large-separation reference measurements are described, leaving open a plausible alternative explanation for the transmission changes.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments, which have helped clarify several aspects of our work. We address each major comment below and indicate revisions made to the manuscript.

read point-by-point responses

  1. Referee: [Abstract] Abstract and experimental description: the central claim that superfluid weight increases rests on an unstated conversion from measured transmission to superfluid density; no explicit formulas, error bars, raw spectra, or sample-characterization details are supplied, so the magnitude and statistical significance of the reported enhancement cannot be evaluated.

    Authors: We agree that the data analysis procedure requires more explicit description. In the revised manuscript we have added a dedicated subsection in the Methods that states the thin-film transmission formulas (London-limit conductivity extraction followed by superfluid weight from the imaginary conductivity at the lowest measured frequency), reports the propagated uncertainties, and supplies representative raw spectra. Expanded sample characterization (thickness, oxygen content via c-axis lattice parameter, and transport Tc) is now included in the main text and SI. These changes allow direct evaluation of the enhancement magnitude and significance. revision: yes

  2. Referee: [Abstract] Abstract and model-comparison paragraphs: the cavity-coupling strength is listed as a free parameter; without an independent determination (e.g., from geometry or a separate measurement) or a statement of how its value was fixed before comparing to data, the model agreement risks circularity and does not independently corroborate the phase-stiffness interpretation.

    Authors: The coupling strength is calculated from the independently known cavity geometry (mirror separation, lateral dimensions) and the measured dielectric function of the YBCO film via standard electromagnetic boundary matching; it is not varied to fit the data. We have revised the model section to state this determination explicitly, give the formula, and confirm that the value was fixed prior to any comparison with the measured trends. The model then reproduces the length-dependent enhancement without further adjustment. revision: yes

  3. Referee: [Abstract] Abstract (weakest-assumption paragraph): the attribution of all observed changes to cavity-modified electromagnetic boundary conditions assumes that mirror placement introduces no mechanical strain, interfacial layer, or oxygen-content alteration to the film; no post-assembly film-integrity checks or large-separation reference measurements are described, leaving open a plausible alternative explanation for the transmission changes.

    Authors: The cavity is tunable, so the same film-mirror assembly is measured at multiple separations. The observed increase in superfluid weight scales with decreasing cavity length exactly as predicted by the phase-stiffness model, whereas strain or interfacial changes would be separation-independent. We have added a discussion paragraph that presents large-separation reference data (where the enhancement vanishes) and post-assembly optical and resistance checks confirming film integrity. These additions make the alternative explanations less plausible while preserving the cavity-effect interpretation. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental inference and model comparison remain independent of fitted inputs or self-citation chains

full rationale

The paper reports temperature-dependent THz transmission data on an underdoped YBCO film inside a tunable cavity and infers an increase in superfluid weight from the measured transmission. The model is invoked only to show that a cavity-coupled phase-fluctuation framework reproduces the observed trends in superfluid weight and onset temperature; no equations, parameter tables, or self-citations are presented that would make the reported enhancement equivalent to a fit or a renamed input. Because the central claim rests on direct experimental observables rather than a derivation that reduces to its own assumptions by construction, the chain is self-contained.

Axiom & Free-Parameter Ledger

1 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard domain assumptions about transmission-to-superfluid-weight conversion and the applicability of a phase-fluctuating superconductor model; no new entities are introduced, but model parameters are likely adjusted to data.

free parameters (1)
  • cavity coupling strength
    Parameter in the cavity-coupled model needed to reproduce observed trends; value not stated as independently measured.
axioms (2)
  • domain assumption Terahertz transmission spectra can be inverted to yield superfluid weight using standard superconducting response formulas.
    Required to extract the reported increase in superfluid weight from raw transmission data.
  • domain assumption Phase fluctuations are the dominant limitation on superconductivity in underdoped cuprates.
    Underpins both motivation and the cavity-enhanced phase stiffness interpretation.

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discussion (0)

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Reference graph

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