{
  "abstract": "We investigate non-Hermitian quantum phase transitions driven by staggered imaginary Dzyaloshinskii--Moriya (DM) interactions in a transverse-field $XY$ chain. By virtue of a staggered nonunitary transformation, we exactly diagonalize the Hamiltonian. For $D<1$, this procedure maps the non-Hermitian model onto a standard Hermitian $XY$ chain, allowing analytical derivation of the full phase boundaries. The parameter line $D=1$ forms an exceptional boundary with coalesced quasiparticle eigenvalues and eigenvectors, while the entire $D>1$ regime falls into the $\\mathcal{RT}$-symmetry-broken phase containing two distinct $z$-ferromagnetic phases. We examine common quantum-information probes and show that conventional measures, such as entanglement entropy, quantum discord, and quantum coherence, fail to capture the $\\mathcal{RT}$ symmetry-breaking transition. To address this deficiency, we propose a novel coherence measure $\\widetilde{\\mathrm{QC}}_{\\max}^{\\rm LR}$ based on $\\mathcal{RT}$ symmetry and complex-conjugate eigenpair correlations. Embedding intrinsic non-Hermitian information of left and right eigenstates, $\\widetilde{\\mathrm{QC}}_{\\max}^{\\rm LR}$ reliably identifies the $\\mathcal{RT}$ symmetry-breaking transition and accurately resolves all magnetic phase boundaries.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23721",
  "author_total": 3,
  "authors": [
    {
      "name": "Hong Jiang"
    },
    {
      "name": "Xiang-Ping Jiang"
    },
    {
      "name": "Yan-Chao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1xja1p1380cqb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23721",
  "fulltext_url": null,
  "id": "1xja1p1380cqb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23721",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7214048510",
  "pdf_url": "https://arxiv.org/pdf/2609.23721",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1xja1p1380cqb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.23721",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23721"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Non-Hermitian quantum phase transitions in the XY model induced by staggered imaginary Dzyaloshinskii--Moriya interaction",
  "title_text": "Non-Hermitian quantum phase transitions in the XY model induced by staggered imaginary Dzyaloshinskii--Moriya interaction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/1xja1p1380cqb",
  "venue": "arXiv",
  "versions": []
}