{
  "id": "0804.3559",
  "version": "v1",
  "published": "2008-04-22T16:21:30.000Z",
  "updated": "2008-04-22T16:21:30.000Z",
  "title": "Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field",
  "authors": [
    "Maurizio Fagotti",
    "Pasquale Calabrese"
  ],
  "comment": "4 pages, 2 figures",
  "journal": "Phys. Rev. A 78, 010306(R) (2008)",
  "doi": "10.1103/PhysRevA.78.010306",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix representation and multidimensional phase methods, we provide analytic results for large blocks and for all times, showing explicitly the linear growth in time followed by saturation. The consequences of these analytic results are discussed and the effects of a finite block length is taken into account numerically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-22T16:21:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.Mn",
      "75.10.Jm",
      "02.30.Ik",
      "64.60.Ht"
    ],
    "keywords": [
      "transverse magnetic field",
      "analytic results",
      "xy chain",
      "quantum quench",
      "block entanglement entropy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Jul",
      "volume": 78,
      "number": 1,
      "pages": "010306"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvA..78a0306F"
    }
  }
}