{
  "id": "0803.1647",
  "version": "v1",
  "published": "2008-03-11T18:29:27.000Z",
  "updated": "2008-03-11T18:29:27.000Z",
  "title": "Virial theorem for confined universal Fermi gases",
  "authors": [
    "J. E. Thomas"
  ],
  "comment": "3 pages",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.other"
  ],
  "abstract": "Optically-trapped two-component Fermi gases near a broad Feshbach resonance exhibit universal thermodynamics, where the properties of the gas are independent of the details of the two-body scattering interactions. We present a global proof that such a universal gas obeys the virial theorem for {\\it any} trapping potential $U$ and any spin mixture, without assuming either the local density approximation or harmonic confinement. The total energy of the gas is given in scale invariant form by $E=<\\epsilon\\partial U/\\partial\\epsilon>$, where $\\epsilon$ is an {\\it arbitrary} energy scale in terms of which all length and energy scales that appear in the confining potential are written. This result enables model-independent energy measurement in traps that are anharmonic as well as anisotropic by observing only the cloud profile, and provides a consistency check for many-body calculations in the universal regime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-11T18:29:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "confined universal fermi gases",
      "virial theorem",
      "result enables model-independent energy measurement",
      "energy scale",
      "two-component fermi gases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.1647T"
    }
  }
}