{
  "abstract": "We study the transport properties of Bose-Hubbard-type Hamiltonians. Kuwahara, Vu, and Saito proved sharp bounds on (i) particle transport and (ii) the Lieb-Robinson velocity for initial states with controlled boson density. We provide simpler and shorter proofs for both results using a new set of methods. For (i), boson transport, we use a class of weighted extended particle number operators that directly enables closing the associated differential inequalities. For (ii), the Lieb-Robinson bounds, we develop a bosonic version of the Chen-Lucas path expansion technique and recover the sharp velocity bound $t^{d-1}$ up to logarithmic corrections, where $d$ denotes the lattice dimension. We also extend the transport bounds (i) to long-range hopping with a power-law exponent $α>d$. The range $α\\in (d,d+1)$ corresponds to an algebraic light cone for boson transport and has not been previously covered.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02263",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexander Elgart"
    },
    {
      "name": "Marius Lemm"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f4d4k86e5gvfq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02263",
  "fulltext_url": null,
  "id": "f4d4k86e5gvfq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02263",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02263",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f4d4k86e5gvfq.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02263",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02263"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Lieb-Robinson bounds for Bose-Hubbard Hamiltonians via path expansions",
  "title_text": "Lieb-Robinson bounds for Bose-Hubbard Hamiltonians via path expansions",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/f4d4k86e5gvfq",
  "venue": "arXiv",
  "versions": []
}