{
  "id": "cond-mat/0502272",
  "version": "v2",
  "published": "2005-02-11T19:20:51.000Z",
  "updated": "2005-08-04T14:26:42.000Z",
  "title": "Geometric phases and criticality in spin chain systems",
  "authors": [
    "Angelo C. M. Carollo",
    "Jiannis K. Pachos"
  ],
  "comment": "4 pages, 1 figures, RevTeX Analysis of resilience against errors and generalizations added",
  "journal": "Phys. Rev. Lett. 95, 157203 (2005);",
  "doi": "10.1103/PhysRevLett.95.157203",
  "categories": [
    "cond-mat.mes-hall",
    "quant-ph"
  ],
  "abstract": "A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition. We analytically evaluate the geometric phase that correspond to the ground and excited states of the anisotropic XY model in the presence of a transverse magnetic field when the direction of the anisotropy is adiabatically rotated. Ultra-cold atoms in optical lattices are presented as a possible physical realization.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-08-04T14:26:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "geometric phase",
      "spin chain systems",
      "criticality",
      "quantum phase transition",
      "anisotropic xy model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}