{
  "id": "cond-mat/0312079",
  "version": "v3",
  "published": "2003-12-02T21:22:41.000Z",
  "updated": "2004-05-14T16:41:23.000Z",
  "title": "Single-atom density of states of an optical lattice",
  "authors": [
    "C. Hooley",
    "J. Quintanilla"
  ],
  "comment": "4 pages, 3 figures, REVTEX 4. Three typos corrected and minor textual modifications",
  "journal": "Phys. Rev. Lett. 93, 080404 (2004)",
  "doi": "10.1103/PhysRevLett.93.080404",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.soft"
  ],
  "abstract": "We consider a single atom in an optical lattice, subject to a harmonic trapping potential. The problem is treated in the tight-binding approximation, with an extra parameter \\kappa denoting the strength of the harmonic trap. It is shown that the \\kappa \\to 0 limit of this problem is singular, in the sense that the density of states for a very shallow trap (\\kappa \\to 0) is {\\it qualitatively different} from that of a translationally invariant lattice (\\kappa = 0). The physics of this difference is discussed, and densities of states and wave functions are exhibited and explained.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2004-05-14T16:41:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optical lattice",
      "single-atom density",
      "translationally invariant lattice",
      "harmonic trapping potential",
      "shallow trap"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}