{
  "abstract": "The quantum geometric tensor - the Berry curvature together with the quantum metric - now underlies a long list of observables, from the anomalous Hall effect to the superfluid weight of a flat band. We ask which of these observables actually require quantum mechanics. To answer this question, we study a purely classical system: a point particle carrying a classical magnetic moment $\\boldsymbol{\\ell}$ that precesses in a momentum-dependent magnetic field $\\mathbf{B}(\\mathbf{p})$. Within Hamiltonian classical mechanics, the component of $\\boldsymbol{\\ell}$ along the field reproduces the Berry-curvature phenomena, while its precessing transverse component reproduces the quantum-metric phenomena. The particle acquires a position spread whose second moment is the metric, an orbital magnetic moment, and - most strikingly - an inertial mass generated by a position-dependent force, and with it a nonzero Drude weight in a system that is nominally dispersionless.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.26269",
  "author_total": 2,
  "authors": [
    {
      "name": "Ady Stern"
    },
    {
      "name": "Felix von Oppen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eg7ev5249rnvj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.26269",
  "fulltext_url": null,
  "id": "eg7ev5249rnvj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.26269",
  "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",
      "cond-mat.mes-hall"
    ],
    [
      "arxiv",
      "cond-mat.supr-con"
    ],
    [
      "arxiv",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Topological Materials and Phenomena"
    ]
  ],
  "openalex": "W7204545281",
  "pdf_url": "https://arxiv.org/pdf/2608.26269",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eg7ev5249rnvj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2608.26269",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.26269"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "How quantum is quantum geometry?",
  "title_text": "How quantum is quantum geometry?",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/eg7ev5249rnvj",
  "venue": "arXiv",
  "versions": []
}