Nota de FísicaPublicado
The Quantum Zeno Paradox Revisited: The Time Evolution for a Two-level System Interacting with a Reservoir
R. Kullock
Dados da publicação
- Autores
- R. Kullock
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 16/01/2007
- Descrição
- We revisited the quantum Zeno paradox, which claims that a generic quantum system prepared in a state which is not an eigenstate of the Hamiltonian operator and is continuously observed never decays. Since any perfectly isolated quantum system always interact with a vacuum field, we analyze the possibility of using this fact to solve the above mentioned conceptual problem. Therefore we discuss a two-level system or qubit-Bose field interaction Hamiltonians. We consider the quantum dynamics of this two-level system, prepared in the excited state interacting with a Bose field prepared in the Poincar\'e invariant vacuum state. Using a first-order approximation in time-dependent perturbation theory, we evaluate the probability of spontaneous decay of the two-level system driven by the vacuum field. This probability is evaluated for a finite time interval. Using the standard argument to obtain the quantum Zeno paradox, we consider $N$ measurements where $N \rightarrow \infty$ and we obtain that the non-decay probability law is a pure exponential, recovering the classical behavior.
- Ano
- 2006
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não