{
  "abstract": "Entanglement entropy at one-dimensional criticality typically follows the Calabrese--Cardy scaling. In the non-Hermitian critical free-fermion systems studied here, however, we find an additional interval-independent contribution $S_{\\rm res}=\\log(ΔL)$, which allows the entropy to remain sensitive to energy gaps below the finite-size scale, $Δ<1/L$. We refer to this term as the residual entropy. To understand its infrared origin, we examine finite-depth non-unitary continuous multiscale entanglement renormalization on a ring. Terminating the critical RG circuit before its singular final layer leaves a two-site infrared state. We calculate the entropy of this state directly from its correlation matrix and recover the same \\(\\log(ΔL)\\) dependence. The emergent de Sitter geometry provides a complementary geometric interpretation: extremal curves associated with different boundary intervals extend to a common infrared endpoint, suggesting how the entanglement retained there can contribute equally to their entropies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.21536",
  "author_total": 1,
  "authors": [
    {
      "name": "Kuang-Hung Chou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0atxxzrrr5jbr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.21536",
  "fulltext_url": null,
  "id": "0atxxzrrr5jbr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.21536",
  "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",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7170909953",
  "pdf_url": "https://arxiv.org/pdf/2607.21536",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0atxxzrrr5jbr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2607.21536",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.21536"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Beyond Calabrese-Cardy Scaling: Exceptional-Point Sensitivity and the de Sitter RT Surface",
  "title_text": "Beyond Calabrese-Cardy Scaling: Exceptional-Point Sensitivity and the de Sitter RT Surface",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/0atxxzrrr5jbr",
  "venue": "arXiv",
  "versions": []
}