{
  "abstract": "Local coherences between distinct charge sectors--measured by the single-particle Green's function or the transverse spin autocorrelation function--do not overlap with hydrodynamic modes. At finite temperature, therefore, they decay faster than any power law in generic chaotic systems. We present a mechanism by which these coherences can persist anomalously long, for integrable and chaotic spin chains (including the XXZ and Fredkin spin chains) that obey a quantum group symmetry. We show--using a Mazur bound derived from the quantum-group symmetry, together with locality and a \"non-undershoot\" assumption--that the transverse spin autocorrelation function $C(t) \\equiv \\langle σ^-_x(t) σ^+_x(0)\\rangle$ can decay at most algebraically: $C(t) \\gtrsim 1/t^2$. This bound is not tight: in the large-anisotropy limit of the XXZ spin chain, at infinite temperature, we explicitly compute $C(t) \\sim \\sqrt{3}/(18 \\sqrt{t})$. We also compute this decay rate in the XXZ spin chain for general easy-axis anisotropy, and estimate it to scale as $C(t) \\sim t^{-2/z}$ (for transport exponent $z$) in the chaotic models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20724",
  "author_total": 2,
  "authors": [
    {
      "name": "Sarang Gopalakrishnan"
    },
    {
      "name": "Romain Vasseur"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/290z8mb8bxb3d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20724",
  "fulltext_url": null,
  "id": "290z8mb8bxb3d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20724",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7222710692",
  "pdf_url": "https://arxiv.org/pdf/2610.20724",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/290z8mb8bxb3d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20724",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20724"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Long-lived local coherences at high temperature from frozen domain walls",
  "title_text": "Long-lived local coherences at high temperature from frozen domain walls",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/290z8mb8bxb3d",
  "venue": "arXiv",
  "versions": []
}