{
  "abstract": "We identify anomalous scale-free localization and associated impurity-induced loss bursts in a non-Hermitian dissipative cross-stitch lattice. By a local basis rotation, the model is mapped onto an effective non-Hermitian Su-Schrieffer-Heeger lattice, where local impurities act as tunable effective boundaries. For the parameter choice considered here, the impurity-free periodic-boundary-condition point is reached at $η=1$. Tuning $η$ away from this point drives the system through generalized-boundary-condition regimes toward two effective open-boundary-condition-like limits at $η\\to0$ and $η\\to\\infty$. For finite $η\\notin\\{0,1\\}$, the loop-sector spectra remain separated from the real-energy axis, while the corresponding eigenstates exhibit scale-free localization pinned by the impurity. Unlike conventional impurity-induced scale-free localization, the Lyapunov exponent depends explicitly on the eigenenergy, making the localization strength eigenstate dependent. We further show that this anomalous eigenmode structure produces an impurity-induced loss burst: The long-time integrated dissipation probability develops a pronounced local enhancement relative to the surrounding background near an impurity-generated effective boundary, even when the initial wave packet is prepared far away. In the single-impurity case, the burst region consists of the impurity site and its adjacent effective-boundary site, and the effect occurs without imaginary-gap closing. For multiple impurities, local burst regions emerge around all impurities, while the dominant burst boundary is selected by the initial wave-packet position and the nonreciprocal drift direction. These results connect anomalous scale-free localization with controllable dissipation dynamics in non-Hermitian lattices.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. A 114, 043525 (2026)",
  "arxiv": "2605.21034",
  "author_total": 2,
  "authors": [
    {
      "name": "Hui Liu"
    },
    {
      "name": "Zhihao Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/12mpe1db2f13k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.21034",
  "fulltext_url": null,
  "id": "12mpe1db2f13k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.21034",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.21034",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/12mpe1db2f13k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2605.21034",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.21034"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Impurity-induced loss bursts from anomalous scale-free localization in a non-Hermitian dissipative lattice",
  "title_text": "Impurity-induced loss bursts from anomalous scale-free localization in a non-Hermitian dissipative lattice",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/12mpe1db2f13k",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/sj7s-7s77",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}