dorsal/arxiv
View SchemaA Continuously Observed Two-level System Interacting with a Vacuum Field
| Authors | R. Kullock, N. F. Svaiter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703167 |
| URL | https://arxiv.org/abs/quant-ph/0703167 |
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.
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"abstract": "A discussion of the quantum Zeno effect and paradox is given. The quantum\nZeno paradox claims that a continuously observed system, prepared in a state\nwhich is not an eigenstate of the Hamiltonian operator, never decays. To\nrecover the classical behavior of unstable systems we consider a two-level\nsystem interacting with a Bose field, respectively prepared in the excited\nstate and in the Poincare invariant vacuum state. Using time-dependent\nperturbation theory, we evaluate for a finite time interval the probability of\nspontaneous decay of the two-level system. Using the standard argument to\nobtain the quantum Zeno paradox, we consider N measurements where N goes to\ninfinity and we obtain that the non-decay probability law is a pure\nexponential, therefore recovering the classical behavior.",
"arxiv_id": "quant-ph/0703167",
"authors": [
"R. Kullock",
"N. F. Svaiter"
],
"categories": [
"quant-ph"
],
"title": "A Continuously Observed Two-level System Interacting with a Vacuum Field",
"url": "https://arxiv.org/abs/quant-ph/0703167"
},
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