{
  "abstract": "We show that a spinless Bose gas on a Haldane sphere with a small monopole charge \\(q\\) realizes, in the lowest Landau level (LLL), an exactly solvable SU(2)-protected cluster condensate: a Hafnian condensate of two-boson singlets for \\(q=1\\), analogous to resonating-valence-bond singlet coverings, and a four-boson singlet condensate for \\(q=3/2\\). Unlike topologically protected quantum Hall states, the exactness of these states relies only on SU(2) symmetry and repulsiveness, with no pseudopotential fine-tuning. Their SU(2)-protected degeneracy renders the single-particle correlations exactly temperature-independent even as the clusters dissociate, a thermal rigidity absent in conventional Bose--Einstein condensates (BECs). Increasing the interaction drives a transition to a vortex BEC with spontaneously broken rotational symmetry.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02799",
  "author_total": 2,
  "authors": [
    {
      "name": "Meng-Jie Wang"
    },
    {
      "name": "Jun-Hui Zheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ey8v7b30m7ynh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02799",
  "fulltext_url": null,
  "id": "ey8v7b30m7ynh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02799",
  "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.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02799",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ey8v7b30m7ynh.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:59Z",
      "native_id": "2611.02799",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02799"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Cluster Condensation and Symmetry-Protected Thermal Rigidity of Bose gases on the Haldane Sphere",
  "title_text": "Cluster Condensation and Symmetry-Protected Thermal Rigidity of Bose gases on the Haldane Sphere",
  "type": "preprint",
  "updated_at": "2026-11-03T12:20:59Z",
  "url": "https://research.draconitic.com/paper/ey8v7b30m7ynh",
  "venue": "arXiv",
  "versions": []
}