{
  "abstract": "The Bose-Hubbard system has been studied extensively both theoretically and experimentally, in particular in the context of ultracold atomic gases in optical lattices. Even in the two-mode case the many-particle dynamics display complex interference effects resulting in revival and breakdown phenomena as well as tunnelling. The most basic theoretical description is the mean-field approximation, which can be derived from a time-dependent variational principle assuming the many-particle wave function is an SU(2) coherent state. Here we build on this to construct a simple initial-value coherent state propagator, summing over mean-field trajectories and keeping track of their phases, given by the corresponding mean-field actions. This yields an approximation to the full time-dependent many-particle state, and is able to reproduce breakdown and revival dynamics. Applying a time-slicing procedure on top of this, we are able to accurately capture many-particle tunnelling effects. While in this paper we focus our analysis on the Bose-Hubbard dimer, the methods developed can be applied to more general SU(2) Hamiltonians, and can be extended to SU(M) systems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: J. Phys. A 59 (2026) 395302",
  "arxiv": "2606.30276",
  "author_total": 2,
  "authors": [
    {
      "name": "Elana F Todd-Miller"
    },
    {
      "name": "Eva-Maria Graefe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ab512ctf3aere.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.30276",
  "fulltext_url": null,
  "id": "ab512ctf3aere",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.30276",
  "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",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2606.30276",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ab512ctf3aere.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:03Z",
      "native_id": "2606.30276",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.30276"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Action on the Sphere: An Interfering Mean-Field Propagator for the Bose-Hubbard Dimer",
  "title_text": "Action on the Sphere: An Interfering Mean-Field Propagator for the Bose-Hubbard Dimer",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/ab512ctf3aere",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1751-8121/aea277",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}