{
  "abstract": "We investigate the behavior of a homogeneous one-dimensional Bose gas composed of $N$ identical bosons experiencing attractive two-body and repulsive three-body interactions. Utilizing intermediate Hartree theory, we rigorously derive the homogeneous cubic-quintic nonlinear Schrödinger functional as the mean-field limit of the many-body Hamiltonian. Particular attention is given to the impact of the repulsive three-body term on ground state energy estimates and mass concentration properties",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29874",
  "author_total": 1,
  "authors": [
    {
      "name": "Dinh-Thi Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7cpgmmnkt1ykf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29874",
  "fulltext_url": null,
  "id": "7cpgmmnkt1ykf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29874",
  "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"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7204898611",
  "pdf_url": "https://arxiv.org/pdf/2608.29874",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7cpgmmnkt1ykf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29874",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29874"
    }
  ],
  "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": "Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case",
  "title_text": "Homogeneous attractive Bose-Einstein condensates with repulsive three-body interactions: the one-dimensional case",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7cpgmmnkt1ykf",
  "venue": "arXiv",
  "versions": []
}