{
  "id": "cond-mat/9811348",
  "version": "v2",
  "published": "1998-11-25T00:48:34.000Z",
  "updated": "1999-07-30T00:27:01.000Z",
  "title": "Stability of a Vortex in a Trapped Bose-Einstein Condensate",
  "authors": [
    "Anatoly A. Svidzinsky",
    "Alexander L. Fetter"
  ],
  "comment": "RevTex, 5 pages, no figures, we have added a section in which dynamics of a vortex is studied using the method of matched asymptotic expansion",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the Bogoliubov equations show that a vortex in a trapped Bose-Einstein condensate has formally unstable normal mode(s) with positive normalization and negative frequency, corresponding to a precession of the vortex line around the center of the trap. In a rotating trap, the solution becomes stable above an angular velocity $\\Omega_m$ characterizing the onset of metastability with respect to small transverse displacements of the vortex from the central axis.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-07-30T00:27:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "trapped bose-einstein condensate",
      "small transverse displacements",
      "time-dependent variational analysis",
      "formally unstable normal mode",
      "angular velocity"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998cond.mat.11348S"
    }
  }
}