{
  "id": "1803.03543",
  "version": "v1",
  "published": "2018-03-08T18:18:56.000Z",
  "updated": "2018-03-08T18:18:56.000Z",
  "title": "Non-ergodic states induced by impurity levels in quantum spin chains",
  "authors": [
    "A. O. García Rodríguez",
    "G. G. Cabrera"
  ],
  "comment": "10 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1703.03446",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "The semi-infinite XY spin chain with an impurity at the boundary has been chosen as a prototype of interacting many-body systems to test for non-ergodic behavior. The model is exactly solvable in analytic way in the thermodynamic limit, where energy eigenstates and the spectrum are obtained in closed form. In addition of a continuous band, localized states may split off from the continuum, for some values of the impurity parameters. In the next step, after the preparation of an arbitrary non-equilibrium state, we observe the time evolution of the site magnetization. Relaxation properties are described by the long-time behavior, which is estimated using the stationary phase method. Absence of localized states defines an ergodic region in parameter space, where the system relaxes to a homogeneous magnetization. Out of this region, impurity levels split from the band, and localization phenomena may lead to non-ergodicity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-08T18:18:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum spin chains",
      "non-ergodic states",
      "semi-infinite xy spin chain",
      "localized states",
      "arbitrary non-equilibrium state"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}