{
  "id": "quant-ph/0605137",
  "version": "v1",
  "published": "2006-05-16T07:07:25.000Z",
  "updated": "2006-05-16T07:07:25.000Z",
  "title": "Minimum uncertainty measurements of angle and angular momentum",
  "authors": [
    "Z. Hradil",
    "J. Rehacek",
    "Z. Bouchal",
    "R. Celechovsky",
    "L. L. Sanchez-Soto"
  ],
  "comment": "4 pages, two eps color figures. Submitted for publication",
  "journal": "Phys. Rev. Lett. 97, 243601 (2006)",
  "doi": "10.1103/PhysRevLett.97.243601",
  "categories": [
    "quant-ph"
  ],
  "abstract": "The uncertainty relations for angle and angular momentum are revisited. We use the exponential of the angle instead of the angle itself and adopt dispersion as a natural measure of resolution. We find states that minimize the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum. These states are described in terms of Mathieu wave functions and may be approximated by a von Mises distribution, which is the closest analogous of the Gaussian on the unit circle. We report experimental results using beam optics that confirm our predictions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-16T07:07:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "angular momentum",
      "minimum uncertainty measurements",
      "mathieu wave functions",
      "von mises distribution",
      "report experimental results"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}