{
  "id": "cond-mat/9707199",
  "version": "v1",
  "published": "1997-07-18T20:28:30.000Z",
  "updated": "1997-07-18T20:28:30.000Z",
  "title": "Quantum Corrections to the Ground State of a Trapped Bose-Einstein Condensate",
  "authors": [
    "Eric Braaten",
    "Agustin Nieto"
  ],
  "comment": "36 pages, 8 figures",
  "journal": "Phys.Rev.B56:14745-14765,1997",
  "doi": "10.1103/PhysRevB.56.14745",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "In the mean-field approximation, the number density \\rho(r) for the ground state of a Bose-Einstein condensate trapped by an external potential V(r) satisfies a classical field equation called the Gross-Pitaevskii equation. We show that quantum corrections to \\rho are dominated by quantum fluctuations with wavelengths of order 1/\\sqrt{\\rho a}, where a is the S-wave scattering length. By expanding the equations for the Hartree-Fock approximation to second order in the gradient expansion, we derive local correction terms to the Gross-Pitaevskii equation that take into account the dominant effects of quantum fluctuations. We also show that the gradient expansion for the density breaks down at fourth order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-07-18T20:28:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.75.Fi",
      "05.30.Jp",
      "67.40.Db"
    ],
    "keywords": [
      "trapped bose-einstein condensate",
      "ground state",
      "quantum corrections",
      "quantum fluctuations",
      "gradient expansion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 446646
    }
  }
}