{
  "id": "cond-mat/0205064",
  "version": "v1",
  "published": "2002-05-03T12:28:56.000Z",
  "updated": "2002-05-03T12:28:56.000Z",
  "title": "Bose-Einstein condensates at equilibrium inside a pancake-shaped trap: dimensional cross-over in the scattering properties",
  "authors": [
    "B. Tanatar",
    "A. Minguzzi",
    "P. Vignolo",
    "and M. P. Tosi"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the s-wave scattering length gets larger than the condensate thickness. We analyze quantitatively the role of the form of the coupling constant in determining the transverse profile of a condensate confined in a harmonic pancake-shaped trap at zero temperature. We trace the regions of experimentally accessible system parameters for which the cross-over between different dimensionality behaviors may become observable through in situ imaging of the condensed cloud with varying trap anisotropy and scattering length.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-03T12:28:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose-einstein condensate",
      "pancake-shaped trap",
      "dimensional cross-over",
      "equilibrium inside",
      "scattering properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002cond.mat..5064T"
    }
  }
}