{
  "abstract": "This paper studies the moduli space of \"good\" periodic Hamiltonians, i.e., periodic Hamiltonians with nondegenerate Floquet spectrum. The corresponding Floquet states determine a geometric model for the moduli space of such Hamiltonians. The model is expressed in terms of configuration spaces, flag manifolds, and principal bundles. A corollary of the main result is the complete determination of the rational cohomology ring of the space of good periodic Hamiltonians. The paper also considers the adiabatic driving of a 1-parameter family of good periodic Hamiltonians. We formulate two conjectures describing the resulting asymptotic quantum evolution. These are Floquet analogues of the adiabatic theorem in quantum mechanics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38845",
  "author_total": 2,
  "authors": [
    {
      "name": "Vladimir Y. Cherynak"
    },
    {
      "name": "John R. Klein"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b34dpswftc44f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38845",
  "fulltext_url": null,
  "id": "b34dpswftc44f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38845",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.DG"
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      "arxiv",
      "math.MP"
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      "arxiv",
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38845",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b34dpswftc44f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38845",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38845"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "The geometry of Floquet states",
  "title_text": "The geometry of Floquet states",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/b34dpswftc44f",
  "venue": "arXiv",
  "versions": []
}