{
  "id": "0911.5675",
  "version": "v1",
  "published": "2009-11-30T15:46:38.000Z",
  "updated": "2009-11-30T15:46:38.000Z",
  "title": "Classical limit of the quantum Zeno effect",
  "authors": [
    "Paolo Facchi",
    "Sandro Graffi",
    "Marilena Ligabò"
  ],
  "comment": "10 pages, 2 figures",
  "journal": "J. Phys. A: Math. Theor. 43 (2010) 032001",
  "doi": "10.1088/1751-8113/43/3/032001",
  "categories": [
    "quant-ph",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The evolution of a quantum system subjected to infinitely many measurements in a finite time interval is confined in a proper subspace of the Hilbert space. This phenomenon is called \"quantum Zeno effect\": a particle under intensive observation does not evolve. This effect is at variance with the classical evolution, which obviously is not affected by any observations. By a semiclassical analysis we will show that the quantum Zeno effect vanishes at all orders, when the Planck constant tends to zero, and thus it is a purely quantum phenomenon without classical analog, at the same level of tunneling.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-30T15:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical limit",
      "quantum zeno effect vanishes",
      "planck constant tends",
      "finite time interval",
      "quantum system"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2010,
      "month": "Jan",
      "volume": 43,
      "number": 3,
      "pages": "032001"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPhA...43c2001F"
    }
  }
}