{
  "id": "1211.4465",
  "version": "v2",
  "published": "2012-11-19T15:38:05.000Z",
  "updated": "2013-02-21T10:46:52.000Z",
  "title": "Relaxation and Thermalization after a Quantum Quench: Why Localization is Important",
  "authors": [
    "Simone Ziraldo",
    "Giuseppe E. Santoro"
  ],
  "comment": "14 pages, 6 figures",
  "journal": "Phys. Rev. B 87, 064201 (2013)",
  "doi": "10.1103/PhysRevB.87.064201",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the unitary dynamics and the thermalization properties of free-fermion-like Hamiltonians after a sudden quantum quench, extending the results of S. Ziraldo et al. [Phys. Rev. Lett. 109, 247205 (2012)]. With analytical and numerical arguments, we show that the existence of a stationary state and its description with a generalized Gibbs ensemble (GGE) depend crucially on the observable considered (local versus extensive) and on the localization properties of the final Hamiltonian. We present results on two one-dimensional (1D) models, the disordered 1D fermionic chain with long-range hopping and the disordered Ising/XY spin chain. We analytically prove that, while time averages of one-body operators are perfectly reproduced by GGE (even for finite-size systems, if time integrals are extended beyond revivals), time averages of many-body operators might show clear deviations from the GGE prediction when disorder-induced localization of the eigenstates is at play.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-21T10:46:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "75.10.Pq",
      "72.15.Rn",
      "02.30.Ik"
    ],
    "keywords": [
      "localization",
      "relaxation",
      "time averages",
      "sudden quantum quench",
      "disordered 1d fermionic chain"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2013,
      "month": "Feb",
      "volume": 87,
      "number": 6,
      "pages": "064201"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..87f4201Z"
    }
  }
}