{
  "id": "0710.1712",
  "version": "v2",
  "published": "2007-10-09T10:11:41.000Z",
  "updated": "2008-01-15T07:08:54.000Z",
  "title": "Exact results for quench dynamics and defect production in a two-dimensional model",
  "authors": [
    "K. Sengupta",
    "Diptiman Sen",
    "Shreyoshi Mondal"
  ],
  "comment": "4 pages including 4 figures; generalized the discussion of the defect density scaling to the case of arbitrary critical exponents, and added some references; this version will appear in Physical Review Letters",
  "journal": "Phys. Rev. Lett. 100, 077204 (2008)",
  "doi": "10.1103/PhysRevLett.100.077204",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.str-el"
  ],
  "abstract": "We show that for a d-dimensional model in which a quench with a rate \\tau^{-1} takes the system across a d-m dimensional critical surface, the defect density scales as n \\sim 1/\\tau^{m\\nu/(z\\nu +1)}, where \\nu and z are the correlation length and dynamical critical exponents characterizing the critical surface. We explicitly demonstrate that the Kitaev model provides an example of such a scaling with d=2 and m=\\nu=z=1. We also provide the first example of an exact calculation of some multispin correlation functions for a two-dimensional model which can be used to determine the correlation between the defects. We suggest possible experiments to test our theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-15T07:08:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Jm",
      "05.70.Jk",
      "64.60.Ht"
    ],
    "keywords": [
      "two-dimensional model",
      "quench dynamics",
      "defect production",
      "exact results",
      "d-m dimensional critical surface"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "Feb",
      "volume": 100,
      "number": 7,
      "pages": "077204"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100g7204S"
    }
  }
}