{
  "abstract": "A change in the geometry of the Hilbert space of a quantum system interacting with a nonadiabatic electromagnetic field is found. To identify its physical origin, the evolution of orthogonality to non-orthogonality of the states of the quantum system has been investigated based on the matrix elements of the quantum states in three main physical cases: a quantum system in zero external field (closed quantum system), a quantum system in slowly changing (adiabatic) field, and a quantum system in rapidly changing (nonadiabatic) field. The quantum states are orthogonal in the first two cases and change to non-orthogonal in a nonadiabatic field, following continuously the parameters of the field. A time-dependent Fubini-Study metric of the Hilbert space can be determined based on the matrix elements of the quantum states in the nonadiabatic case. Such a dynamical metric of the Hilbert space in quantum mechanics resembles the dynamical metric of spacetime in general relativity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.06800",
  "author_total": 1,
  "authors": [
    {
      "name": "Ivan Georgiev Koprinkov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/btf0g10r52c6e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.06800",
  "fulltext_url": null,
  "id": "btf0g10r52c6e",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.06800",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Applications"
    ]
  ],
  "openalex": "W7212050587",
  "pdf_url": "https://arxiv.org/pdf/2609.06800",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/btf0g10r52c6e.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:48Z",
      "native_id": "2609.06800",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.06800"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Hilbert space geometry change by a nonadiabatic electromagnetic field",
  "title_text": "Hilbert space geometry change by a nonadiabatic electromagnetic field",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:48Z",
  "url": "https://research.draconitic.com/paper/btf0g10r52c6e",
  "venue": "arXiv",
  "versions": []
}