{
  "id": "cond-mat/0605121",
  "version": "v2",
  "published": "2006-05-04T16:51:05.000Z",
  "updated": "2006-10-23T14:40:57.000Z",
  "title": "Sweeping from the superfluid to Mott phase in the Bose-Hubbard model",
  "authors": [
    "Ralf Schützhold",
    "Michael Uhlmann",
    "Yan Xu",
    "Uwe R. Fischer"
  ],
  "comment": "4 pages of RevTex4, 1 figure; to appear in Physical Review Letters",
  "journal": "Phys. Rev. Lett. 97, 200601 (2006)",
  "doi": "10.1103/PhysRevLett.97.200601",
  "categories": [
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study the sweep through the quantum phase transition from the superfluid to the Mott state for the Bose-Hubbard model with a time-dependent tunneling rate $J(t)$. In the experimentally relevant case of exponential decay, $J(t)\\propto e^{-\\gamma t}$, an adapted mean-field expansion for large fillings $n$ yields a scaling solution for the fluctuations. This enables us to analytically calculate the evolution of the number and phase variations (on-site) and correlations (off-site) for slow ($\\gamma\\ll\\mu$), intermediate, and fast (non-adiabatic $\\gamma\\gg\\mu$) sweeps, where $\\mu$ is the chemical potential. Finally, we derive the dynamical decay of the off-diagonal long-range order as well as the temporal shrinkage of the superfluid fraction in a persistent ring-current setup.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-10-23T14:40:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bose-hubbard model",
      "mott phase",
      "superfluid",
      "quantum phase transition",
      "off-diagonal long-range order"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}