{
  "id": "1409.8482",
  "version": "v1",
  "published": "2014-09-30T11:08:24.000Z",
  "updated": "2014-09-30T11:08:24.000Z",
  "title": "Stationary states in a free fermionic chain from the Quench Action Method",
  "authors": [
    "Andrea De Luca",
    "Gabriele Martelloni",
    "Jacopo Viti"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "We employ the Quench Action Method (QAM) for a recently considered geometrical quantum quench: two free fermionic chains initially at different temperatures are joined together in the middle and let evolve unitarily with a translation invariant Hamiltonian. We show that two different stationary regimes are reached at long times, depending on the interplay between the observation time scale T and the total length L of the system. We show the emergence of a non-equilibrium steady state (NESS) supporting an energy current for observation time T much smaller than the system size L. We then identify a longer time-scale for which thermalization occurs in a Generalized Gibbs Ensemble (GGE).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-30T11:08:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.75.Ss",
      "75.10.Pq",
      "05.30.-d",
      "05.50.+q"
    ],
    "keywords": [
      "quench action method",
      "stationary states",
      "translation invariant hamiltonian",
      "observation time scale",
      "non-equilibrium steady state"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1103/PhysRevA.91.021603",
      "journal": "Physical Review A",
      "year": 2015,
      "month": "Feb",
      "volume": 91,
      "number": 2,
      "pages": "021603"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhRvA..91b1603D"
    }
  }
}