{
  "id": "0902.2878",
  "version": "v2",
  "published": "2009-02-17T09:56:47.000Z",
  "updated": "2009-03-18T10:55:43.000Z",
  "title": "A Unified Theory of Quantum Holonomies",
  "authors": [
    "Atushi Tanaka",
    "Taksu Cheon"
  ],
  "comment": "24pages; To be published in Ann. Phys. (N.Y.); Corrected typos",
  "journal": "Annals Phys.324:1340-1359,2009",
  "doi": "10.1016/j.aop.2009.03.006",
  "categories": [
    "quant-ph",
    "cond-mat.mes-hall",
    "hep-th",
    "math-ph",
    "math.MP",
    "nucl-th"
  ],
  "abstract": "A periodic change of slow environmental parameters of a quantum system induces quantum holonomy. The phase holonomy is a well-known example. Another is a more exotic kind that exhibits eigenvalue and eigenspace holonomies. We introduce a theoretical formulation that describes the phase and eigenspace holonomies on an equal footing. The building block of the theory is a gauge connection for an ordered basis, which is conceptually distinct from Mead-Truhlar-Berry's connection and its Wilczek-Zee extension. A gauge invariant treatment of eigenspace holonomy based on Fujikawa's formalism is developed. Example of adiabatic quantum holonomy, including the exotic kind with spectral degeneracy, are shown.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-18T10:55:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42.50.Dv",
      "03.65.Ca",
      "03.65.Vf"
    ],
    "keywords": [
      "unified theory",
      "eigenspace holonomy",
      "quantum system induces quantum holonomy",
      "exotic kind",
      "slow environmental parameters"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Annals of Physics",
      "year": 2009,
      "month": "Jun",
      "volume": 324,
      "number": 6,
      "pages": 1340
    },
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 827140,
      "adsabs": "2009AnPhy.324.1340T"
    }
  }
}