{
  "abstract": "Strong-to-weak spontaneous symmetry breaking (SWSSB) can occur in a maximally mixed charge sector even when ordinary charged correlations vanish. We study this order when a charge sector splits into dynamically disconnected fragments. In a one-dimensional $t$-$J_z$ chain with species-resolved dephasing, each fragment is labeled by a conserved spin word. A charged transfer between separated finite intervals preserves that word only if the intervening spins satisfy a periodicity constraint. In the full-state two-point sense, we use this constraint to prove the absence of long-range fidelity and Rényi-1 order in typical fixed-composition fragments, uniformly over all norm-bounded charged operators in any prescribed finite interval. A fragment with primitive spin-word period $k$ supports a $k$-particle channel with exact long-distance value $ν^k(1-ν)^k/k^2$, and no charged operator on fewer than $k$ sites can carry this order. A transverse exchange connects the fragments while preserving the global charges and restores the full-sector steady state at finite size. The conserved spin word therefore selects the local channels that can support mixed-state order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26453",
  "author_total": 4,
  "authors": [
    {
      "name": "Mingdi Xu"
    },
    {
      "name": "Kaixiang Lu"
    },
    {
      "name": "Daoguang Li"
    },
    {
      "name": "Lei Pan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cj581r3z76f2j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26453",
  "fulltext_url": null,
  "id": "cj581r3z76f2j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26453",
  "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": "W7214125165",
  "pdf_url": "https://arxiv.org/pdf/2609.26453",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cj581r3z76f2j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.26453",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26453"
    }
  ],
  "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": "Hilbert-space fragmentation selects channels of strong-to-weak spontaneous symmetry breaking",
  "title_text": "Hilbert-space fragmentation selects channels of strong-to-weak spontaneous symmetry breaking",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/cj581r3z76f2j",
  "venue": "arXiv",
  "versions": []
}