{
  "abstract": "We introduce the spectral density of geometric response, a measure of eigenstate sensitivity across an energy spectrum. Applied to many-body quantum systems, it reveals an exponentially sensitive integrability-to-chaos crossover, where eigenbasis deformations first accumulate in localized spectral regions before spreading throughout the spectrum. Physically motivated random-matrix ensembles reproduce this behaviour, whereas Gaussian ensembles do not, indicating universal features of the route to chaos that are absent from featureless random-matrix models.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.11309",
  "author_total": 2,
  "authors": [
    {
      "name": "George Mihailescu"
    },
    {
      "name": "Pablo M. Poggi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5fw56q4054qt4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.11309",
  "fulltext_url": null,
  "id": "5fw56q4054qt4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.11309",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3109|Quantum chaos and dynamical systems"
    ]
  ],
  "openalex": "W7202379710",
  "pdf_url": "https://arxiv.org/pdf/2608.11309",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5fw56q4054qt4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.11309",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.11309"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Spectrally local geometric response at the onset of many-body quantum chaos",
  "title_text": "Spectrally local geometric response at the onset of many-body quantum chaos",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:41Z",
  "url": "https://research.draconitic.com/paper/5fw56q4054qt4",
  "venue": "arXiv",
  "versions": []
}