{
  "id": "cond-mat/9910439",
  "version": "v1",
  "published": "1999-10-27T07:12:49.000Z",
  "updated": "1999-10-27T07:12:49.000Z",
  "title": "Finite-temperature correlations in the trapped Bose gas",
  "authors": [
    "N. M. Bogoliubov",
    "R. K. Bullough",
    "V. S. Kapitonov",
    "C. Malyshev",
    "J. Timonen"
  ],
  "comment": "5 pages, no figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Previous functional integral methods for translationally invariant systems have been extended to the case of a confining trap potential. Essentially all finite-temperature properties of the repulsive Bose gas in a paraboloidal trap can be determined this way. New analytical results reported here are for the finite-temperature two-point correlation functions below the critical temperatures in d=3,2 and 1 dimensions. Only for d=3 are correlations both long range and coherent - at long range consistent with the existence of a coherent state of the condensate in the trap. The two-dimensional condensate is marginally stable in the sense that correlations decay by a power law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-27T07:12:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trapped bose gas",
      "finite-temperature correlations",
      "finite-temperature two-point correlation functions",
      "functional integral methods",
      "long range consistent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999cond.mat.10439B"
    }
  }
}