{
  "id": "quant-ph/0407216",
  "version": "v2",
  "published": "2004-07-27T12:49:58.000Z",
  "updated": "2005-02-22T16:51:50.000Z",
  "title": "Conservation and entanglement of Hermite-Gaussian modes in parametric down-conversion",
  "authors": [
    "S. P. Walborn",
    "S. Pádua",
    "C. H. Monken"
  ],
  "comment": "9 pages, 4 figures. Corrections made as per referee comments, references updated. Submitted PRA",
  "doi": "10.1103/PhysRevA.71.053812",
  "categories": [
    "quant-ph"
  ],
  "abstract": "We show that the transfer of the angular spectrum of the pump beam to the two-photon state in spontaneous parametric down-conversion enables the generation of entangled Hermite-Gaussian modes. We derive an analytical expression for the two-photon state in terms of these modes and show that there are restrictions on both the parity and order of the down-converted Hermite-Gaussian fields. Using these results, we show that the two-photon state is indeed entangled in Hermite-Gaussian modes. We propose experimental methods of creating maximally-entangled Bell states and non-maximally entangled pure states of first order Hermite-Gaussian modes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-02-22T16:51:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-photon state",
      "first order hermite-gaussian modes",
      "entanglement",
      "conservation",
      "spontaneous parametric down-conversion enables"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. A"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}