{
  "id": "quant-ph/0506111",
  "version": "v2",
  "published": "2005-06-14T18:44:18.000Z",
  "updated": "2005-12-16T23:34:42.000Z",
  "title": "Examples of bosonic de Finetti states over finite dimensional Hilbert spaces",
  "authors": [
    "Alex D. Gottlieb"
  ],
  "comment": "corrected version",
  "journal": "Journal of Statistical Physics, 12: 497 - 509 (2005)",
  "doi": "10.1007/s10955-005-7005-2",
  "categories": [
    "quant-ph"
  ],
  "abstract": "According to the Quantum de Finetti Theorem, locally normal infinite particle states with Bose-Einstein symmetry can be represented as mixtures of infinite tensor powers of vector states. This note presents examples of infinite-particle states with Bose-Einstein symmetry that arise as limits of Gibbs ensembles on finite dimensional spaces, and displays their de Finetti representations. We consider Gibbs ensembles for systems of bosons in a finite dimensional setting and discover limits as the number of particles tends to infinity, provided the temperature is scaled in proportion to particle number.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-12-16T23:34:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite dimensional hilbert spaces",
      "finetti states",
      "bose-einstein symmetry",
      "locally normal infinite particle states",
      "gibbs ensembles"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}