A Continuously Observed Two-level System Interacting with a Vacuum Field

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dc.creatorKullock, R.
dc.creatorSvaiter, N. F.
dc.date2007-03-19
dc.date.accessioned2026-07-07T07:52:42Z
dc.date.available2026-07-07T07:52:42Z
dc.descriptionA 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.
dc.description25 pages, no figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0703167
dc.identifierhttp://arxiv.org/abs/quant-ph/0703167
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125978
dc.subjectQuantum Physics
dc.titleA Continuously Observed Two-level System Interacting with a Vacuum Field
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