{
  "abstract": "We derive rigorous lower bounds on the ground-state energy of the coherently driven Bose--Hubbard model using a Lieb--Yamazaki positive-operator decomposition. The resulting quadratic bounding Hamiltonian is diagonalized by displacement and Bogoliubov transformations, yielding explicit stability conditions and finite-volume bounds in arbitrary dimension. We establish the thermodynamic-limit energy density and characterize the excitation spectrum of the bounding Hamiltonian. We also derive its Gaussian-state observables, including filling, number fluctuations, and second-order correlations, and identify regimes of antibunching and sub-Poissonian statistics. Numerical calculations assess the tightness of the bounds across representative parameter regimes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38464",
  "author_total": 4,
  "authors": [
    {
      "name": "Maciej Janowicz"
    },
    {
      "name": "Joanna Kaleta"
    },
    {
      "name": "Filip Krzyżewski"
    },
    {
      "name": "Andrzej Zembrzuski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5kheyrthq73wx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38464",
  "fulltext_url": null,
  "id": "5kheyrthq73wx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38464",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38464",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5kheyrthq73wx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38464",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38464"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Finite-volume and thermodynamic-limit lower bounds for the coherently driven Bose--Hubbard model via the Lieb--Yamazaki method",
  "title_text": "Finite-volume and thermodynamic-limit lower bounds for the coherently driven Bose--Hubbard model via the Lieb--Yamazaki method",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/5kheyrthq73wx",
  "venue": "arXiv",
  "versions": []
}