{
  "abstract": "We study relativistic beam-like wave packets governed by a quasi-Hermitian massive Dirac Hamiltonian and uncover anomalous Gouy-phase behavior in non-Hermitian dynamics. We show that the Gouy phase provides a sensitive probe of the global $\\mathcal{PT}$-symmetry-breaking threshold: it remains purely real in the globally unbroken, quasi-Hermitian regime, while, after crossing the exceptional point, the Gouy phase changes sign and acquires an imaginary component. At the exceptional point, the Gouy-phase variation vanishes in the small-mass limit but becomes maximal for large masses, revealing a counterintuitive crossover from effectively classical to increasingly wave-like quantum behavior. We propose an experimental scheme to measure the components of the non-Hermitian Gouy phase in the broken regime by monitoring the attenuation of a light beam propagating through a lossy waveguide. These results highlight the potential of the non-Hermitian Gouy phase for photonic applications, including the determination of threshold conditions and the design and control of systems with gain and loss.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01884",
  "author_total": 4,
  "authors": [
    {
      "name": "Dirlan J. C. de Morais Sousa"
    },
    {
      "name": "Lucas S. Marinho"
    },
    {
      "name": "Giandomenico Palumbo"
    },
    {
      "name": "Irismar G. da Paz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dz4e839zzbwv4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01884",
  "fulltext_url": null,
  "id": "dz4e839zzbwv4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.01884",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7207804764",
  "pdf_url": "https://arxiv.org/pdf/2609.01884",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dz4e839zzbwv4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:16Z",
      "native_id": "2609.01884",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01884"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Gouy Phase across PT-Symmetry Breaking in Non-Hermitian Dirac Systems",
  "title_text": "Gouy Phase across PT-Symmetry Breaking in Non-Hermitian Dirac Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:16Z",
  "url": "https://research.draconitic.com/paper/dz4e839zzbwv4",
  "venue": "arXiv",
  "versions": []
}