{
  "abstract": "We study the spectral gap of recently discovered families of KMS-detailed-balanced Gibbs-sampler Lindbladians for the mean-field Heisenberg model on $n$ spins. We show that the spectral gaps of these natural families of Lindbladians admit the same phase diagram: the gap is constant above the critical temperature (i.e., in the disordered phase), scales as $1/\\sqrt{n}$ at the critical temperature, and as $1/n$ below the critical temperature (i.e., in the ordered phase). Our result builds on and extends the recent work of Basso et al.~(2026) which characterized this phase diagram for the GNS-detailed-balanced Davies generator, but only partially resolved the gap scaling at the critical temperature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.06818",
  "author_total": 4,
  "authors": [
    {
      "name": "Levente Raikovich"
    },
    {
      "name": "József Mák"
    },
    {
      "name": "Csaba Czabán"
    },
    {
      "name": "András Gilyén"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/arh8z6tjkbtd5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.06818",
  "fulltext_url": null,
  "id": "arh8z6tjkbtd5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.06818",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7220650035",
  "pdf_url": "https://arxiv.org/pdf/2610.06818",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/arh8z6tjkbtd5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:05Z",
      "native_id": "2610.06818",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.06818"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The complete phase diagram of detailed-balanced Gibbs samplers for the mean-field Heisenberg model",
  "title_text": "The complete phase diagram of detailed-balanced Gibbs samplers for the mean-field Heisenberg model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:05Z",
  "url": "https://research.draconitic.com/paper/arh8z6tjkbtd5",
  "venue": "arXiv",
  "versions": []
}