{
  "id": "cond-mat/0203078",
  "version": "v1",
  "published": "2002-03-05T08:53:32.000Z",
  "updated": "2002-03-05T08:53:32.000Z",
  "title": "Scaling behaviour of the relaxation in quantum chains",
  "authors": [
    "Dragi Karevski"
  ],
  "comment": "6 pages, 2 figures, accepted in EPJB",
  "doi": "10.1140/epjb/e20020139",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider the nonequilibrium time evolution of the transverse magnetization in the critical Ising and $XX$ quantum chains. For some inhomogeneously magnetized initial states we derive analytically the transverse magnetization profiles and show that they evolve into scaling forms in the long-time limit. In particular it is seen that the Ising chain exhibits some similarities with the conserved dynamics $XX$ chain. That is, after a transient regime, the total residual magnetization in the transverse direction is also conserved in the Ising case. A class of general initial states is also considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-03-05T08:53:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.40.Gb",
      "05.70.Ln"
    ],
    "keywords": [
      "quantum chains",
      "scaling behaviour",
      "relaxation",
      "total residual magnetization",
      "transverse magnetization profiles"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "European Physical Journal B",
      "year": 2002,
      "month": "May",
      "volume": 27,
      "number": 1,
      "pages": 147
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002EPJB...27..147K"
    }
  }
}