{
  "abstract": "We introduce a new method for extracting resonance pole positions that does not require non-Hermitian extensions of a Hamiltonian. The complex resonance poles are extracted from unitary time evolution of a persistent state, a compact trial state chosen such that its survival amplitude is governed by a single exponential over an extended time window. We solve several two- and three-body systems interacting via short- and long-range forces on a lattice and show that the pole positions obtained using the persistent state method converge approximately exponentially with the linear size of the system. We also consider a gate-based quantum implementation of our method using the Rodeo algorithm and a Hamiltonian variational ansatz, and outline an extension to two-cluster scattering.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.25164",
  "author_total": 7,
  "authors": [
    {
      "name": "Cong-Wu Wang"
    },
    {
      "name": "Lukas Bovermann"
    },
    {
      "name": "Evgeny Epelbaum"
    },
    {
      "name": "Hermann Krebs"
    },
    {
      "name": "Dean Lee"
    },
    {
      "name": "Yu-Gang Ma"
    },
    {
      "name": "Avik Sarkar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fft8jywxpg3d3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.25164",
  "fulltext_url": null,
  "id": "fft8jywxpg3d3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.25164",
  "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",
      "hep-lat"
    ],
    [
      "arxiv",
      "nucl-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7214099881",
  "pdf_url": "https://arxiv.org/pdf/2609.25164",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fft8jywxpg3d3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:39Z",
      "native_id": "2609.25164",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.25164"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-lat",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:nucl-th",
      "subfield": "nuclear"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Persistent State Method for Resonances on Classical and Quantum Computers",
  "title_text": "Persistent State Method for Resonances on Classical and Quantum Computers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:39Z",
  "url": "https://research.draconitic.com/paper/fft8jywxpg3d3",
  "venue": "arXiv",
  "versions": []
}