{
  "id": "0806.3529",
  "version": "v1",
  "published": "2008-06-22T15:55:48.000Z",
  "updated": "2008-06-22T15:55:48.000Z",
  "title": "Geometric phases and quantum phase transitions in open systems",
  "authors": [
    "Alexander I. Nesterov",
    "S. G. Ovchinnikov"
  ],
  "comment": "ReVTeX style, 6 figures. Accepted for publication in Phys. Rev. E (Rapid Communication)",
  "journal": "Phys.Rev.E78:015202,2008",
  "doi": "10.1103/PhysRevE.78.015202",
  "categories": [
    "quant-ph",
    "hep-th",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the geometric phase associated with the ground state of the one-dimensional dissipative Ising model in a transverse magnetic field is evaluated, and it is demonstrated that related quantum phase transition is of the first order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-22T15:55:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "03.65.-w",
      "03.65.Vf",
      "14.80.Hv"
    ],
    "keywords": [
      "open systems",
      "open quantum system",
      "related quantum phase transition",
      "transverse magnetic field",
      "complex geometric phase"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Jul",
      "volume": 78,
      "number": 1,
      "pages": "015202"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 788945,
      "adsabs": "2008PhRvE..78a5202N"
    }
  }
}