{
  "id": "0704.1880",
  "version": "v2",
  "published": "2007-04-16T15:34:49.000Z",
  "updated": "2007-04-19T13:36:26.000Z",
  "title": "Quantum Quenches in Extended Systems",
  "authors": [
    "Pasquale Calabrese",
    "John Cardy"
  ],
  "comment": "24 Pages, 4 figures",
  "journal": "J.Stat.Mech.0706:P06008,2007",
  "doi": "10.1088/1742-5468/2007/06/P06008",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We study in general the time-evolution of correlation functions in a extended quantum system after the quench of a parameter in the hamiltonian. We show that correlation functions in d dimensions can be extracted using methods of boundary critical phenomena in d+1 dimensions. For d=1 this allows to use the powerful tools of conformal field theory in the case of critical evolution. Several results are obtained in generic dimension in the gaussian (mean-field) approximation. These predictions are checked against the real-time evolution of some solvable models that allows also to understand which features are valid beyond the critical evolution. All our findings may be explained in terms of a picture generally valid, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate with a finite speed through the system. Furthermore we show that the long-time results can be interpreted in terms of a generalized Gibbs ensemble. We discuss some open questions and possible future developments.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-04-19T13:36:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum quenches",
      "extended systems",
      "correlation functions",
      "critical evolution",
      "conformal field theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2007,
      "month": "Jun",
      "volume": 2007,
      "number": 6,
      "pages": 6008
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 748848,
      "adsabs": "2007JSMTE..06....8C"
    }
  }
}