{
  "id": "cond-mat/0103299",
  "version": "v1",
  "published": "2001-03-14T13:10:29.000Z",
  "updated": "2001-03-14T13:10:29.000Z",
  "title": "Bose-Einstein condensate: critical velocities and energy diagrams in the Thomas-Fermi regime",
  "authors": [
    "Amandine Aftalion",
    "Qiang Du"
  ],
  "comment": "10pages 9 figures",
  "journal": "PRA (2001) Vol 64 063603",
  "doi": "10.1103/PhysRevA.64.063603",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "For a Bose-Einstein condensate placed in a rotating trap and confined in the z axis, we set a framework of study for the Gross-Pitaevskii energy in the Thomas Fermi regime. We investigate an asymptotic development of the energy, the critical velocities of nucleation of vortices with respect to a small parameter $\\ep$ and the location of vortices. The limit $\\ep$ going to zero corresponds to the Thomas Fermi regime. The non-dimensionalized energy is similar to the Ginzburg-Landau energy for superconductors in the high-kappa high-field limit and our estimates rely on techniques developed for this latter problem. We also take the advantage of this similarity to develop a numerical algorithm for computing the Bose-Einstein vortices. Numerical results and energy diagrams are presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-03-14T13:10:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose-einstein condensate",
      "energy diagrams",
      "critical velocities",
      "thomas-fermi regime",
      "thomas fermi regime"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}