{
  "id": "1507.07266",
  "version": "v1",
  "published": "2015-07-26T23:29:37.000Z",
  "updated": "2015-07-26T23:29:37.000Z",
  "title": "Quantum Quenches to a Critical Point in One Dimension: some further results",
  "authors": [
    "John Cardy"
  ],
  "comment": "26 pages, 3 figures",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We describe several results concerning global quantum quenches from states with short-range correlations to quantum critical points whose low-energy properties are described by a 1+1-dimensional conformal field theory (CFT), extending the work of Calabrese and Cardy (2006): (a) for the special class of initial states discussed in that paper we show that, once a finite region falls inside the horizon, its reduced density matrix is exponentially close in $L_2$ norm to that of a thermal Gibbs state; (b) small deformations of this initial state in general lead to a generalized Gibbs distribution (GGE) with, however, the possibility of parafermionic conserved charges; (c) small deformations of the CFT, corresponding to curvature of the dispersion relation and (non-integrable) left-right scattering, lead to a dependence of the speed of propagation on the initial state, as well as diffusive broadening of the horizon.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-26T23:29:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "initial state",
      "small deformations",
      "results concerning global quantum quenches",
      "finite region falls inside",
      "thermal gibbs state"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2016/02/023103"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150707266C",
      "inspire": 1385147
    }
  }
}