{
  "abstract": "We study the anisotropic XY chain in a transverse field by introducing a global string order parameter and examining its equilibrium behavior and its quench dynamics from a fully polarized initial state. The corresponding string operator is defined as the product of local projected spin operators over the entire chain. The nonequilibrium order parameter is the long-time average of the logarithm of the string-operator expectation value per site after the quench. For the ground state, its field derivative is singular on the Ising critical lines; after the quench, the steady-state response also records the field boundaries and the anisotropy transition. We derive analytically the nonanalytic behavior of the order parameter at the quantum critical lines. Our results reveal a hidden nonlocal order underlying this paradigmatic model of conventional quantum phase transitions. They also connect measurable spin populations with equilibrium and dynamical topological structure.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30647",
  "author_total": 2,
  "authors": [
    {
      "name": "H. P. Zhang"
    },
    {
      "name": "Z. Song"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a6kwpyxs3df08.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30647",
  "fulltext_url": null,
  "id": "a6kwpyxs3df08",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30647",
  "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.str-el"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7223405237",
  "pdf_url": "https://arxiv.org/pdf/2610.30647",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a6kwpyxs3df08.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.30647",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30647"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "String Order in Quench Dynamics as a Probe of Quantum Phase Transitions",
  "title_text": "String Order in Quench Dynamics as a Probe of Quantum Phase Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/a6kwpyxs3df08",
  "venue": "arXiv",
  "versions": []
}