{
  "id": "1402.2789",
  "version": "v2",
  "published": "2014-02-12T11:12:09.000Z",
  "updated": "2014-09-24T14:48:40.000Z",
  "title": "Nonadiabatic stationary behaviour in a driven low-dimensional gapped system",
  "authors": [
    "Anna Maraga",
    "Pietro Smacchia",
    "Michele Fabrizio",
    "Alessandro Silva"
  ],
  "comment": "5 pages, 3 figures",
  "journal": "Phys. Rev. B 90, 041111(R) (2014)",
  "doi": "10.1103/PhysRevB.90.041111",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change leads eventually to the disruption of the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one-dimensional quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-12T11:12:09.000Z",
      "title": "Breakdown of adiabaticity for the order parameter in a low dimensional gapped system",
      "abstract": "We discuss the emergence of non adiabatic behavior in the dynamics of the order parameter in a low dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to be the most favorable situation for adiabaticity, we show that such a change destroys the order, no matter how slowly the ramp is performed. We show this in detail by studying the dynamics of the one dimensional Quantum Ising model subject to linear variation of the transverse magnetic field within the ferromagnetic phase, and then propose a general argument applicable to other systems.",
      "comment": "4 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-24T14:48:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.70.Ln",
      "05.50.+q",
      "75.10.Pq"
    ],
    "keywords": [
      "low dimensional gapped system",
      "order parameter",
      "quantum many-body system subject",
      "dimensional quantum many-body system",
      "quantum ising model subject"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Jul",
      "volume": 90,
      "number": 4,
      "pages": "041111"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..90d1111M"
    }
  }
}