{
  "abstract": "Action variables are adiabatic invariants: their values are preserved during adiabatic time evolutions in completely integrable classical Hamiltonian systems. Nevertheless, an adiabatic cycle can alter how an action variable depends on phase-space variables that are independent of adiabatic parameters. Such a change, which we call action variable holonomy, induces adiabatic torus pumping in phase space. For a family of completely integrable kicked-top systems, a homotopy classification of adiabatic cycles identifies which adiabatic cycles induce action variable holonomy and adiabatic torus pumping. A physical example is also provided.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40671",
  "author_total": 2,
  "authors": [
    {
      "name": "Atushi Tanaka"
    },
    {
      "name": "Taksu Cheon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ssp1xrmyr2ey.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40671",
  "fulltext_url": null,
  "id": "0ssp1xrmyr2ey",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40671",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "nlin.CD"
    ],
    [
      "arxiv",
      "physics.class-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40671",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ssp1xrmyr2ey.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.40671",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40671"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:nlin.CD",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Which Adiabatic Cycles Alter an Action Variable?",
  "title_text": "Which Adiabatic Cycles Alter an Action Variable?",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/0ssp1xrmyr2ey",
  "venue": "arXiv",
  "versions": []
}