{
  "id": "2310.02706",
  "version": "v1",
  "published": "2023-10-04T10:19:35.000Z",
  "updated": "2023-10-04T10:19:35.000Z",
  "title": "Momentum Distribution of a Fermi Gas in the Random Phase Approximation",
  "authors": [
    "Niels Benedikter",
    "Sascha Lill"
  ],
  "comment": "69 pages, 5 figures",
  "categories": [
    "math-ph",
    "cond-mat.quant-gas",
    "cond-mat.str-el",
    "math.MP"
  ],
  "abstract": "We consider a system of interacting fermions on the three-dimensional torus in the mean-field scaling limit. Our objective is computing the occupation number of the Fourier modes in a trial state obtained through the random phase approximation for the ground state. Our result shows that -- in the trial state -- the Fermi momentum does not depend on the interaction potential (it is universal), while the jump at the Fermi surface is as predicted by Daniel and Vosko.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-04T10:19:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81V70",
      "82B10",
      "81Q10",
      "35P05"
    ],
    "keywords": [
      "random phase approximation",
      "fermi gas",
      "momentum distribution",
      "trial state",
      "occupation number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 69,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}