{
  "id": "1311.5509",
  "version": "v2",
  "published": "2013-11-21T18:41:43.000Z",
  "updated": "2014-06-25T13:47:26.000Z",
  "title": "Dynamics of the entanglement spectrum in spin chains",
  "authors": [
    "G. Torlai",
    "L. Tagliacozzo",
    "G. De Chiara"
  ],
  "comment": "16 pages, 8 figures, comments are welcome! Version published in JSTAT special issue on \"Quantum Entanglement In Condensed Matter Physics\"",
  "journal": "G Torlai et al J. Stat. Mech. (2014) P06001",
  "doi": "10.1088/1742-5468/2014/06/P06001",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "quant-ph"
  ],
  "abstract": "We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian, the state of the system is evolved in time with a new Hamiltonian. We consider both instantaneous and quasi adiabatic quenches of the system Hamiltonian across a quantum phase transition. We analyse the Ising model that can be exactly solved and the XXZ for which we employ the time-dependent density matrix renormalisation group algorithm. Our results show once more a connection between the Schmidt gap, i.e. the difference of the two largest eigenvalues of the reduced density matrix and order parameters, in this case the spontaneous magnetisation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-25T13:47:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "entanglement spectrum",
      "density matrix renormalisation group algorithm",
      "time-dependent density matrix renormalisation group",
      "quasi adiabatic quenches",
      "quantum phase transition"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5509T"
    }
  }
}