{
  "id": "1403.7431",
  "version": "v2",
  "published": "2014-03-28T16:13:03.000Z",
  "updated": "2014-05-28T15:36:59.000Z",
  "title": "Validity of the GGE for quantum quenches from interacting to noninteracting models",
  "authors": [
    "Spyros Sotiriadis",
    "Pasquale Calabrese"
  ],
  "comment": "16 pages",
  "journal": "J. Stat. Mech. (2014) P07024",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the majority of the analytical verifications of the conjecture that the Generalised Gibbs Ensemble describes the large time asymptotics of local observables in quantum quench problems, both the post-quench and the pre-quench Hamiltonians are essentially noninteracting. We test this conjecture studying the field correlations in the more general case of an arbitrary pre-quench Hamiltonian, while keeping the post-quench one noninteracting. We first show that in the previously studied special case of a noninteracting pre-quench Hamiltonian, the validity of the conjecture is a consequence of Wick's theorem. We then show that it is also valid in the general case of an arbitrary interacting pre-quench Hamiltonian, but this time as a consequence of the cluster decomposition property of the initial state, which is a fundamental principle for generic physical states. For arbitrary initial states that do not satisfy the cluster decomposition property, the above conjecture is not generally true. As a byproduct of our investigation we obtain an analytical derivation of earlier numerical results for the large time evolution of correlations after a quantum quench of the interaction in the Lieb-Liniger model from a nonzero value to zero.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-28T15:36:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum quenches",
      "noninteracting models",
      "cluster decomposition property",
      "conjecture",
      "large time"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1742-5468/2014/07/P07024",
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2014,
      "month": "Jul",
      "volume": 2014,
      "number": 7,
      "pages": "07024"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1287774,
      "adsabs": "2014JSMTE..07..024S"
    }
  }
}