{
  "id": "cond-mat/0510055",
  "version": "v1",
  "published": "2005-10-03T20:26:50.000Z",
  "updated": "2005-10-03T20:26:50.000Z",
  "title": "A new perturbation theory for the superfluid Fermi gas in the molecular Bose-Einstein condensed state",
  "authors": [
    "Shina Tan"
  ],
  "comment": "11 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We demonstrate how solutions to quantum few-fermion scattering problems can be the point-of-departure of a new treatment of a generalized many-body wave function. Our focus is on a particular ansatz for the ground state wave function of a superfluid Fermi gas introduced earlier (cond-mat/0506293). Our method is perturbative in the sense that the probability amplitudes for few-fermion scattering processes are treated as small quantities; it is also NONPERTURBATIVE in the sense that whenever such scattering events occur, nonperturbative quantum few-fermion scattering physics dominates. This approach can be viewed as a new diagrammatic methodology, based on a wave function as distinct from a perturbation series in the interparticle interactions. Some generic properties of the wave function are studied, and its parameters in the Bose-Einstein condensed limit are computed beyond mean-field. These results enable us to predict many observable properties of this Fermi gas with well-controlled accuracy, such as the superfluid pairing function, the four-fermion and six-fermion correlation functions, the momentum distribution, and the two-body reduced density matrix, etc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-10-03T20:26:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "superfluid fermi gas",
      "molecular bose-einstein condensed state",
      "wave function",
      "perturbation theory",
      "few-fermion scattering physics dominates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}