{
  "abstract": "Non-Hermitian dynamics possesses distinct left and right eigenstates, but their normalization freedom obscures a direct probabilistic interpretation. Starting from a globally Hermitian system governed by the standard Born rule, we generalize dynamical quantum phase transitions (DQPTs) from a reference state to a physical subspace. This generalization provides a clear probabilistic interpretation of left and right states: when each state is normalized to itself, their mutual overlap determines a directly accessible dynamical transition rate. We discuss the new phenomena governed by this emergent non-biorthogonal Born rule and further identify a class of exceptional-point DQPTs (EP-DQPTs), at which the eigenstates of the critical propagator coalesce. Our theory places the probabilistic interpretation of non-Hermitian quantum mechanics on the firm footing of Hermitian quantum mechanics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17855",
  "author_total": 4,
  "authors": [
    {
      "name": "Wei-Wei Yang"
    },
    {
      "name": "Henning Schomerus"
    },
    {
      "name": "Jiangping Hu"
    },
    {
      "name": "Zhesen Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/802vs6c98j0jx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17855",
  "fulltext_url": null,
  "id": "802vs6c98j0jx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17855",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7221836395",
  "pdf_url": "https://arxiv.org/pdf/2610.17855",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/802vs6c98j0jx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:11Z",
      "native_id": "2610.17855",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17855"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Emergent Non-Biorthogonal Born Rule at Dynamical Quantum Phase Transitions",
  "title_text": "Emergent Non-Biorthogonal Born Rule at Dynamical Quantum Phase Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:11Z",
  "url": "https://research.draconitic.com/paper/802vs6c98j0jx",
  "venue": "arXiv",
  "versions": []
}