{
  "abstract": "Floquet engineering and cavity quantum electrodynamics represent two complementary descriptions of light-matter interaction, yet their precise connection beyond the small-coupling regime remains subtle. Here, by representing the cavity field in a large-photon-number phase basis, we show that the time-dependent Schrödinger equation of a classically driven system emerges directly from the fully quantized problem, without replacing the field by a classical trajectory or assuming a mean-field decoupling. This establishes a one-to-one correspondence between quasienergies and photon-sector-shifted quantum energies, while providing a direct quantum interpretation of the Floquet mean energy and Anandan phase. Because gauge invariance is exactly preserved at the level of the quantum Hamiltonian, the quantum-to-classical correspondence remains valid beyond perturbative and small-coupling regimes. We further show that light--matter entanglement is encoded in matter--harmonic correlations of the corresponding Floquet mode, thus identifying a semiclassical limit in which Floquet physics emerges without requiring the quantum field itself to approach a coherent classical state.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.21741",
  "author_total": 3,
  "authors": [
    {
      "name": "Beatriz Pérez-González"
    },
    {
      "name": "Sigmund Kohler"
    },
    {
      "name": "Mónica Benito"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36bwbzf83ckpq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.21741",
  "fulltext_url": null,
  "id": "36bwbzf83ckpq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.21741",
  "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.mes-hall"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Strong Light-Matter Interactions"
    ]
  ],
  "openalex": "W7213920201",
  "pdf_url": "https://arxiv.org/pdf/2609.21741",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36bwbzf83ckpq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:03Z",
      "native_id": "2609.21741",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.21741"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement",
  "title_text": "Floquet physics from quantized light-matter interaction: geometric phases, gauge consistency, and entanglement",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:03Z",
  "url": "https://research.draconitic.com/paper/36bwbzf83ckpq",
  "venue": "arXiv",
  "versions": []
}