{
  "id": "1008.1548",
  "version": "v1",
  "published": "2010-08-09T17:09:56.000Z",
  "updated": "2010-08-09T17:09:56.000Z",
  "title": "Emergence of coherence in the Mott--superfluid quench of the Bose-Hubbard model",
  "authors": [
    "Patrick Navez",
    "Ralf Schützhold"
  ],
  "comment": "4 pages",
  "categories": [
    "quant-ph",
    "cond-mat.quant-gas"
  ],
  "abstract": "We study the quench from the Mott to the superfluid phase in the Bose-Hubbard model and investigate the spatial-temporal growth of phase coherence, i.e., phase locking between initially uncorrelated sites. To this end, we establish a hierarchy of correlations via a controlled expansion into inverse powers of the coordination number $1/Z$. It turns out that the off-diagonal long-range order spreads with a constant propagation speed, forming local condensate patches, whereas the phase correlator follows a diffusion-like growth rate.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-09T17:09:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.75.Gg",
      "05.30.Rt",
      "03.75.Kk",
      "03.75.Lm"
    ],
    "keywords": [
      "bose-hubbard model",
      "mott-superfluid quench",
      "off-diagonal long-range order spreads",
      "forming local condensate patches",
      "superfluid phase"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.82.063603",
      "journal": "Physical Review A",
      "year": 2010,
      "month": "Dec",
      "volume": 82,
      "number": 6,
      "pages": "063603"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvA..82f3603N"
    }
  }
}