{
  "abstract": "We investigate how particle-hole symmetry, quantum interference, and tunnel barriers shape thermodynamic uncertainty relations in chaotic Andreev billiards. Using random-matrix theory and the Mahaux-Weidenmüller scattering approach, we study charge conductance and shot noise across the four Altland-Zirnbauer symmetry classes, from the single-channel extreme quantum limit to the multichannel semiclassical regime and from ideal to opaque contacts. We characterize thermodynamic precision through two complementary ensemble observables: either by averaging the sample-resolved noise-to-conductance ratio, or from the separately averaging noise and conductance. Their pronounced discrepancy in the extreme quantum regime reveals the non-self-averaging character of mesoscopic transport and persists over a broad range of barrier transparencies. For ideal contacts, the first provides a sensitive fingerprint of the Altland-Zirnbauer symmetry class. In the opaque regime, this hierarchy changes. Despite these strong symmetry- and barrier-dependent effects, the standard thermodynamic uncertainty relation remains satisfied throughout all regimes investigated. Our results establish thermodynamic uncertainty as a symmetry-sensitive probe of universal transport in chaotic normal-superconducting systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.27065",
  "author_total": 5,
  "authors": [
    {
      "name": "I. R. A. C. Lucena"
    },
    {
      "name": "T. J. A. Mori"
    },
    {
      "name": "M. M. Soares"
    },
    {
      "name": "D. Bazeia"
    },
    {
      "name": "A. R. Rocha"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ap3g08a7fe6e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.27065",
  "fulltext_url": null,
  "id": "1ap3g08a7fe6e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.27065",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3109|Quantum chaos and dynamical systems"
    ]
  ],
  "openalex": "W7214218588",
  "pdf_url": "https://arxiv.org/pdf/2609.27065",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ap3g08a7fe6e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.27065",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.27065"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Thermodynamic Uncertainty Relations in Chaotic Andreev Billiards",
  "title_text": "Thermodynamic Uncertainty Relations in Chaotic Andreev Billiards",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/1ap3g08a7fe6e",
  "venue": "arXiv",
  "versions": []
}