{
  "abstract": "The idea of quantum texture has been recently proposed and used as a tool for quantifying coherences and for quantum gate identification. In this work we offer a study on its usage to quantum phase transitions, demonstrating the rugosity metric as a simple tool for effective phase-transition probing. We establish the link between rugosity in the computational basis and the hierarchy of spin correlators, and analyze rugosities defined in the global ground-state and in ground-states belonging to different magnetization sectors (to which we refer to as global vs symmetry-resolved rugosities) to study the phase diagram of the Heisenberg XXZ model. We find distinct rugosity signatures at both transition points. In particular, a sharp feature appears at $Δ=1$ already for small systems, revealing a pronounced sensitivity of the correlation hierarchy encoded by the texture to this point. Since the BKT transition coincides with the isotropic $SU(2)$ point of the XXZ model, this behavior may reflect a particular sensitivity of rugosity to the structure of the spin-correlation hierarchy at isotropy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08120",
  "author_total": 4,
  "authors": [
    {
      "name": "Heitor P. Casagrande"
    },
    {
      "name": "Isaac M. Carvalho"
    },
    {
      "name": "William J. Munro"
    },
    {
      "name": "Krissia Zawadzki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6jmnkgbep92cr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08120",
  "fulltext_url": null,
  "id": "6jmnkgbep92cr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08120",
  "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.str-el"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7212072654",
  "pdf_url": "https://arxiv.org/pdf/2609.08120",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6jmnkgbep92cr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.08120",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08120"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Textures as a phase-transition probe for quantum spin chains",
  "title_text": "Textures as a phase-transition probe for quantum spin chains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:11Z",
  "url": "https://research.draconitic.com/paper/6jmnkgbep92cr",
  "venue": "arXiv",
  "versions": []
}