{
  "abstract": "We develop a framework for quasi-holonomy in non-adiabatic quantum time evolution of subspaces along loops in a complex Grassmannian. By factoring the Schrödinger evolution into dynamical and connection-induced contributions in a moving basis, we obtain an effective geometric generator that depends explicitly on the dynamical propagator. This quasi-connection does not define a genuine connection on the original Grassmann bundle, since its gauge transformation law acquires a history-dependent, nonlocal term. Other ways of factoring the Schrödinger evolution are briefly discussed. All these approaches suffer from the same type of history-dependence, thereby defining transport of subspaces in which geometric and dynamical effects are generally intertwined, just as in the case of the quasi-holonomy. Our work sheds light on the issue of separating quantum evolution of subspaces into holonomic and dynamical parts from an essentially gauge-theoretic perspective.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Phys. A: Math. Theor. 59, 355308 (2026)",
  "arxiv": "2607.05218",
  "author_total": 2,
  "authors": [
    {
      "name": "Erik Sjöqvist"
    },
    {
      "name": "Adam Fredriksson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/852a6f8accd7t.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.05218",
  "fulltext_url": null,
  "id": "852a6f8accd7t",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.05218",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2607.05218",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/852a6f8accd7t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:31Z",
      "native_id": "2607.05218",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.05218"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Quasi-holonomy in non-adiabatic quantum evolution",
  "title_text": "Quasi-holonomy in non-adiabatic quantum evolution",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:31Z",
  "url": "https://research.draconitic.com/paper/852a6f8accd7t",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1751-8121/ae9e6e",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}