{
  "id": "0902.3333",
  "version": "v2",
  "published": "2009-02-19T09:43:30.000Z",
  "updated": "2010-01-14T13:46:31.000Z",
  "title": "Spins coupled to a Spin Bath: From Integrability to Chaos",
  "authors": [
    "John Schliemann"
  ],
  "comment": "6 pages, 5 figures included, version to appear in Phys. Rev B (Rapid Comm.)",
  "journal": "Phys. Rev. B 81, 081301(R) (2010)",
  "doi": "10.1103/PhysRevB.81.081301",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "Motivated by the hyperfine interaction of electron spins with surrounding nuclei, we investigate systems of central spins coupled to a bath of noninteracting spins in the framework of random matrix theory. With increasing number of central spins a transition from Poissonian statistics to the Gaussian orthogonal ensemble occurs which can be described by a generalized Brody distribution. These observations are unaltered upon applying an external magnetic field. In the transition region, the classical counterparts of the models studied have mixed phase space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-01-14T13:46:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76.20.+q",
      "05.45.Mt",
      "76.30.-v"
    ],
    "keywords": [
      "spin bath",
      "central spins",
      "integrability",
      "random matrix theory"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2010,
      "month": "Feb",
      "volume": 81,
      "number": 8,
      "pages": "081301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvB..81h1301S"
    }
  }
}