{
  "abstract": "This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime $t\\sim λ^{-2}$ where $λ\\ll 1$ is the strength of the interaction potential. We prove that if the initial state is close to equilibrium, then the two-point time correlation function of the many-body quantum dynamics can be computed effectively. In fact, we show that its leading order behavior is determined completely by the collisional frequency of the Boltzmann-Nordheim collision operator at equilibrium. This settles a prediction by Lukkarinen-Spohn, and thus gives a justification of the quantum Boltzmann equation from many-body quantum mechanics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.13499",
  "author_total": 4,
  "authors": [
    {
      "name": "Peter S. Madsen"
    },
    {
      "name": "Phan Thành Nam"
    },
    {
      "name": "Herbert Spohn"
    },
    {
      "name": "Minh-Binh Tran"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1w92f5v1yddz5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.13499",
  "fulltext_url": null,
  "id": "1w92f5v1yddz5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.13499",
  "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",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7161155827",
  "pdf_url": "https://arxiv.org/pdf/2605.13499",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1w92f5v1yddz5.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2605.13499",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.13499"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas",
  "title_text": "On the asymptotic behavior at the kinetic time of a weakly interacting Fermi gas",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/1w92f5v1yddz5",
  "venue": "arXiv",
  "versions": []
}