{
  "abstract": "We show how to perform exact diagonalization of SU($N$)-symmetric Bose-Hubbard models separately in each irreducible representation of SU($N$), by exploiting the Howe duality between U($L$) and U($N$). Three structural consequences follow for any lattice and any Hamiltonian built from the U($L$) generators: (i) the spectrum in a given orbital sector is independent of $N$ and of the particle statistics, (ii) the canonical partition functions for bosons and fermions obey the exact identity $Z_{\\mathrm{b}}(-N)=(-1)^{N_\\mathrm{b}}Z_{\\mathrm{f}}(N)$, (iii) with unfrustrated hopping the groundstate is always a color ferromagnet, so that the color-resolved method we introduce is useful to study excited sectors, frustrated lattices and finite temperatures. As applications, we first derive the finite-temperature phase diagram of attractive SU($N$) bosons on few-site rings at large $N$ for arbitrary filling. We then show the emergence of singlet-cluster states from frustrated hopping, the counterpart of fermionic ferromagnetism, with the example of the sawtooth and kagome lattice.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.14183",
  "author_total": 1,
  "authors": [
    {
      "name": "Loïc Herviou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bmp10qxftdbfs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.14183",
  "fulltext_url": null,
  "id": "bmp10qxftdbfs",
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  "landing_url": "https://hal.science/hal-05844598v1",
  "language": "en",
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      "3107|Cold Atom Physics and Bose-Einstein Condensates"
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  "pdf_url": "https://hal.science/hal-05844598/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bmp10qxftdbfs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:03Z",
      "native_id": "hal-05844598",
      "source": "hal",
      "url": "https://hal.science/hal-05844598v1"
    },
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.14183",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.14183"
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  "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"
    }
  ],
  "title": "Exact SU($N$) symmetry resolution of bosonic Hubbard models: general boson-fermion mappings and flat-band singlet-cluster states",
  "title_text": "Exact SU(N) symmetry resolution of bosonic Hubbard models: general boson-fermion mappings and flat-band singlet-cluster states",
  "type": "preprint",
  "updated_at": "2026-10-31T12:20:56Z",
  "url": "https://research.draconitic.com/paper/bmp10qxftdbfs",
  "venue": "HAL",
  "versions": []
}