{
  "abstract": "Inferring a Hamiltonian from a single quantum trajectory is generally non-unique. This ambiguity limits inverse use of projective quantum geometry. Here we show that a nearest-neighbour structural prior makes the problem locally identifiable. For a smooth real time-dependent Jacobi Hamiltonian initialized at a ladder endpoint, the physical-time projective jet through order M+1 reconstructs the first M couplings, their logarithmic rates, and diagonal energy differences, up to an overall scalar-energy gauge. A canonical osculating-frame representation encodes the same data in a gauge-fixed connection. Pair-driven bosonic dynamics provides a direct realization because the vacuum evolves on the even-Fock Jacobi chain. In a nonstationary test, shallow reconstructions fit early projective data yet strongly overpredict later occupation growth; adding the projective order that resolves each hidden nonlinear layer restores the self-limited dynamics. The result supplies an inverse local counterpart to forward Krylov/Lanczos constructions and specifies when phase-resolved short-time state information identifies a sparse driven Hamiltonian.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.22796",
  "author_total": 1,
  "authors": [
    {
      "name": "A. M. Tishin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/70w7tt0mmmxad.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.22796",
  "fulltext_url": null,
  "id": "70w7tt0mmmxad",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.22796",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "3107|Quantum many-body systems"
    ]
  ],
  "openalex": "W7162136271",
  "pdf_url": "https://arxiv.org/pdf/2605.22796",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/70w7tt0mmmxad.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2605.22796",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.22796"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Local projective reconstruction of driven bosonic Hamiltonians",
  "title_text": "Local projective reconstruction of driven bosonic Hamiltonians",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/70w7tt0mmmxad",
  "venue": "arXiv",
  "versions": []
}