{
  "id": "2406.09019",
  "version": "v1",
  "published": "2024-06-13T11:44:22.000Z",
  "updated": "2024-06-13T11:44:22.000Z",
  "title": "Ground state energy of a dilute Bose gas with three-body hard-core interactions",
  "authors": [
    "Lukas Junge",
    "François Louis Antoine Visconti"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider a gas of bosons interacting through a three-body hard-core potential in the thermodynamic limit. We derive an upper bound on the ground state energy of the system at the leading order using a Jastrow factor. Our result matches the lower bound proven by Nam-Ricaud-Triay and therefore resolves the leading order. Moreover, a straightforward adaptation of our proof can be used for systems interacting via combined two-body and three-body interactions to generalise Theorem 1.2. from arXiv:2402.05646 to hard-core potentials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-13T11:44:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ground state energy",
      "dilute bose gas",
      "three-body hard-core interactions",
      "three-body hard-core potential",
      "lower bound proven"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}