{
  "id": "quant-ph/0703167",
  "version": "v1",
  "published": "2007-03-19T15:20:50.000Z",
  "updated": "2007-03-19T15:20:50.000Z",
  "title": "A Continuously Observed Two-level System Interacting with a Vacuum Field",
  "authors": [
    "R. Kullock",
    "N. F. Svaiter"
  ],
  "comment": "25 pages, no figures",
  "categories": [
    "quant-ph"
  ],
  "abstract": "A discussion of the quantum Zeno effect and paradox is given. The quantum Zeno paradox claims that a continuously observed system, prepared in a state which is not an eigenstate of the Hamiltonian operator, never decays. To recover the classical behavior of unstable systems we consider a two-level system interacting with a Bose field, respectively prepared in the excited state and in the Poincare invariant vacuum state. Using time-dependent perturbation theory, we evaluate for a finite time interval the probability of spontaneous decay of the two-level system. Using the standard argument to obtain the quantum Zeno paradox, we consider N measurements where N goes to infinity and we obtain that the non-decay probability law is a pure exponential, therefore recovering the classical behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-03-19T15:20:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-level system interacting",
      "vacuum field",
      "quantum zeno paradox claims",
      "poincare invariant vacuum state",
      "quantum zeno effect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007quant.ph..3167K"
    }
  }
}