{
  "abstract": "We discuss an information-geometric framework for characterizing quantum states in non-equilibrium dynamics. Using the transverse-field Ising chain model as a laboratory, we investigate the quantum Fisher information metric with particular emphasis on the mixed metric component $g_{ht}$ and related geometric observables, where $h$ is a controllable post-quench Hamiltonian parameter and $t$ is real time. The framework treats $h$ and $t$ as coordinates of an extended information manifold $(h,t)$. The geometric observables characterize the speed of evolution on the manifold and the alignment between the temporal and parameter-deformation directions. Correlations between these geometric quantities and two widely used measures of non-equilibrium dynamics, the entanglement entropy and the Loschmidt echo, are analyzed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00977",
  "author_total": 2,
  "authors": [
    {
      "name": "Kouji Kashiwa"
    },
    {
      "name": "Hidefumi Matsuda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eccdytjhy544z.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00977",
  "fulltext_url": null,
  "id": "eccdytjhy544z",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00977",
  "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",
      "hep-ph"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7206174944",
  "pdf_url": "https://arxiv.org/pdf/2609.00977",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eccdytjhy544z.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:00Z",
      "native_id": "2609.00977",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00977"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-ph",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Information geometry of non-equilibrium quantum states: Mixed metric structures on an extended information manifold",
  "title_text": "Information geometry of non-equilibrium quantum states: Mixed metric structures on an extended information manifold",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:00Z",
  "url": "https://research.draconitic.com/paper/eccdytjhy544z",
  "venue": "arXiv",
  "versions": []
}