{
  "id": "0805.3885",
  "version": "v2",
  "published": "2008-05-26T07:28:57.000Z",
  "updated": "2008-05-28T14:04:23.000Z",
  "title": "Partial-state fidelity and quantum phase transitions induced by continuous level crossing",
  "authors": [
    "Ho-Man Kwok",
    "Chun-Sing Ho",
    "Shi-Jian Gu"
  ],
  "comment": "5 pages, 4 figures",
  "journal": "Phys. Rev. A 78, 062302 (2008)",
  "doi": "10.1103/PhysRevA.78.062302",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The global-state fidelity cannot characterize those quantum phase transitions (QPTs) induced by continuous level crossing due to its collapse around each crossing point. In this paper, we take the isotropic Lipkin-Meshkov-Glick (LMG) model and the antiferromagnetic one-dimensional Heisenberg model as examples to show that the partial-state fidelity can signal such level-crossing QPTs. Extending to the thermodynamic limit we introduce the partial-state fidelity susceptibility and study its scaling behavior. The maximum of the partial-state fidelity susceptibility goes like $N$ for the LMG model and $N^3$ for the Heisenberg model.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-28T14:04:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.67.-a",
      "64.60.-i",
      "05.70.Fh",
      "75.10.-b"
    ],
    "keywords": [
      "quantum phase transitions",
      "continuous level crossing",
      "partial-state fidelity susceptibility",
      "antiferromagnetic one-dimensional heisenberg model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Dec",
      "volume": 78,
      "number": 6,
      "pages": "062302"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvA..78f2302K"
    }
  }
}