{
  "abstract": "Many quantum systems are believed to thermalize slowly at low temperatures due to the existence of metastable phases. However, there are cases where further cooling can restore polynomial-time thermalization: we demonstrate that the Davies dynamics of the mean-field interchange model with local dimension $d\\geq 3$ and single-site generalized Pauli couplings exhibits this behavior. The dynamical phase diagram is beholden to two distinguished inverse temperatures, $β_{\\mathrm{min}}(d)$ and $β=d$, with the static first-order phase transition lying between them. At low and high temperatures surrounding the interval $(β_{\\mathrm{min}}(d),d)$, the spectral gap of the Davies generator is bounded below by an inverse polynomial in system size $n$. Meanwhile, in this interval, the gap vanishes exponentially in $n$, indicating metastability. The proof uses Schur-Weyl duality to decompose the Davies generator into a classical Markov generator on Young diagrams, and the restriction to the remaining symmetry sectors whose gap is $Ω(n^{-1})$. Thus, exponential slowdown arises entirely from the Young diagram chain.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01987",
  "author_total": 4,
  "authors": [
    {
      "name": "Sergio Escobar"
    },
    {
      "name": "Lin Lin"
    },
    {
      "name": "Michael Ragone"
    },
    {
      "name": "Kevin D. Stubbs"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eyfacbbe8pwgn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01987",
  "fulltext_url": null,
  "id": "eyfacbbe8pwgn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01987",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7215971658",
  "pdf_url": "https://arxiv.org/pdf/2610.01987",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eyfacbbe8pwgn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:22Z",
      "native_id": "2610.01987",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01987"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "On the Metastability of the Mean-Field Interchange Model for Local Dimension $\\geq 3$",
  "title_text": "On the Metastability of the Mean-Field Interchange Model for Local Dimension ≥ 3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/eyfacbbe8pwgn",
  "venue": "arXiv",
  "versions": []
}