{
  "id": "2106.13185",
  "version": "v1",
  "published": "2021-06-24T17:04:09.000Z",
  "updated": "2021-06-24T17:04:09.000Z",
  "title": "Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential",
  "authors": [
    "Niels Benedikter",
    "Marcello Porta",
    "Benjamin Schlein",
    "Robert Seiringer"
  ],
  "comment": "39 pages",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "cond-mat.str-el",
    "math.MP"
  ],
  "abstract": "Recently the leading order of the correlation energy of a Fermi gas in a mean-field scaling regime has been derived, under the assumption of an interaction potential with a small norm and with compact support in Fourier space. We generalize this result to large interaction potentials, requiring only $|.| \\hat{V} \\in \\ell^1 (\\mathbb{Z}^3)$. Our proof is based on approximate, collective bosonization in three dimensions. Significant improvements compared to recent work include stronger bounds on non-bosonizable terms and more efficient control on the bosonization of the kinetic energy.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-24T17:04:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V70",
      "82B10",
      "81Q10",
      "35P05"
    ],
    "keywords": [
      "large interaction potential",
      "weakly interacting fermi gas",
      "correlation energy",
      "kinetic energy",
      "efficient control"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}