{
  "abstract": "Under local Lindbladian evolution, the growth of conditional mutual information and its associated Markov length scale is not limited by Lieb-Robinson bounds, yet it has been unclear how quickly the Markov length can increase. We show that an arbitrarily short, strictly local Lindbladian can generate infinite Markov length from a product state. We also construct strictly local Lindbladians that converge rapidly to steady states with algebraically decaying conditional mutual information. Despite their long-range conditional correlations, the states we construct are local reversibly connected to a product state by sublinear depth circuits. Thus infinite Markov length does not imply slow relaxation nor obstruct phase stability when suitably defined.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18983",
  "author_total": 3,
  "authors": [
    {
      "name": "Amir-Reza Negari"
    },
    {
      "name": "Yijian Zou"
    },
    {
      "name": "Timothy H. Hsieh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5vxkm1hx69pke.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18983",
  "fulltext_url": null,
  "id": "5vxkm1hx69pke",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18983",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7222299553",
  "pdf_url": "https://arxiv.org/pdf/2610.18983",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5vxkm1hx69pke.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2610.18983",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18983"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Instability of Markov chains under infinitesimal coherent dissipation",
  "title_text": "Instability of Markov chains under infinitesimal coherent dissipation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:31Z",
  "url": "https://research.draconitic.com/paper/5vxkm1hx69pke",
  "venue": "arXiv",
  "versions": []
}