{
  "abstract": "We investigate condensation and finite-temperature magnetic phase transitions in a coherently (Rabi) coupled Bose gas confined in a three-dimensional harmonic trap. For the noninteracting system, we derive analytical expressions for the critical temperature and condensate fraction using a semiclassical description of the single-particle spectrum and density of states. At fixed particle number, coherent coupling enhances the critical temperature relative to the uncoupled system, and this enhancement decreases with increasing particle number $N$. The finite-size correction, in contrast, lowers the transition temperature, with its effect diminishing for larger $N$. We then incorporate repulsive interactions within the Hartree--Fock--Bogoliubov--Popov framework to investigate the finite-temperature phase diagram in the temperature--Rabi coupling plane. The system undergoes successive transitions from a ferromagnetic to a paramagnetic condensate and, at higher temperature, to a thermal gas. The transition boundaries obtained from the vanishing of the condensate fraction show excellent agreement with the analytical Hartree-Fock predictions. We find that the interactions substantially suppress the variation in the condensation temperature with an increase in the coherent coupling.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.11779",
  "author_total": 4,
  "authors": [
    {
      "name": "Sunilkumar V"
    },
    {
      "name": "Rajat"
    },
    {
      "name": "Sandeep Gautam"
    },
    {
      "name": "Arko Roy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9v0j28tmnqjnx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.11779",
  "fulltext_url": null,
  "id": "9v0j28tmnqjnx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.11779",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "openalex",
      "3107|Cold Atom Physics and Bose-Einstein Condensates"
    ]
  ],
  "openalex": "W7212267796",
  "pdf_url": "https://arxiv.org/pdf/2609.11779",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9v0j28tmnqjnx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:26Z",
      "native_id": "2609.11779",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.11779"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Condensation temperature and magnetic phases of trapped coherently coupled Bose gases",
  "title_text": "Condensation temperature and magnetic phases of trapped coherently coupled Bose gases",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:26Z",
  "url": "https://research.draconitic.com/paper/9v0j28tmnqjnx",
  "venue": "arXiv",
  "versions": []
}