{
  "abstract": "We propose a unified perspective on classical and quantum chaos based on the sensitivity of a system's stationary states to slow driving. We probe this sensitivity via the system's susceptibility to the average protocol speed, which we call the ``speed-Fisher information,\" and relate it to irreversible entropy production in the system. We show that chaotic dynamics manifests as a divergence of the speed-Fisher information with the protocol time, and that this response is controlled by the perturbation's low-frequency spectral weight. This approach to chaos applies to both classical and quantum Hamiltonian systems, and naturally extends to non-Hamiltonian classical flows. We illustrate this framework with simple classical and quantum examples, along with a non-Hamiltonian flow that qualitatively exhibits analogous low-frequency spectral behavior.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.23810",
  "author_total": 4,
  "authors": [
    {
      "name": "Nachiket Karve"
    },
    {
      "name": "Nathan Rose"
    },
    {
      "name": "David Campbell"
    },
    {
      "name": "Anatoli Polkovnikov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5zf44xj0vzhah.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.23810",
  "fulltext_url": null,
  "id": "5zf44xj0vzhah",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.23810",
  "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",
      "nlin.CD"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3109|Quantum chaos and dynamical systems"
    ]
  ],
  "openalex": "W7165796167",
  "pdf_url": "https://arxiv.org/pdf/2606.23810",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5zf44xj0vzhah.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2606.23810",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.23810"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Universal Dynamical Response to Slow Driving in Chaotic Systems",
  "title_text": "Universal Dynamical Response to Slow Driving in Chaotic Systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/5zf44xj0vzhah",
  "venue": "arXiv",
  "versions": []
}