{
  "id": "cond-mat/0212221",
  "version": "v3",
  "published": "2002-12-10T15:17:33.000Z",
  "updated": "2005-04-12T19:16:02.000Z",
  "title": "Condensate fluctuations in the dilute Bose gas",
  "authors": [
    "Alexander Yu. Cherny"
  ],
  "comment": "8 pages, no figures",
  "journal": "Phys. Rev. A 71, 043605 (2005)",
  "doi": "10.1103/PhysRevA.71.043605",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The fluctuations of a number of particles in the Bose-Einstein condensate are studied in the grand canonical ensemble with an effective single-mode Hamiltonian, which is derived from an assumption that the mode corresponding to the Bose-Einstein condensate does not asymptotically correlate with other modes. The fluctuations are evaluated in the dilute limit with a proposed simple method, which is beyond the mean-field approximation. The accuracy of the latter is estimated; it is shown that the mean-field scheme does not work for the single-mode Hamiltonian, while for the Hartree Hamiltonian it allows us to estimate the condensate fluctuations up to a numerical factor. As a hypothesis, a formula is proposed that relates the fluctuations in the canonical ensemble with that of the grand canonical one.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-04-12T19:16:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "dilute bose gas",
      "condensate fluctuations",
      "bose-einstein condensate",
      "grand canonical",
      "mean-field scheme"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}