The dynamics of a quantum system undergoing frequent measurements (quantum Zeno effect) is investigated. Using asymptotic analysis, the system is found to evolve unitarily in a proper subspace of the total Hilbert space. For measurements represented by spatial projections, the generator of the ‘‘Zeno dynamics’’ is the Hamiltonian with Dirichlet boundary conditions.
Zeno dynamics yields ordinary constraints
FACCHI, PAOLO;PASCAZIO, Saverio;
2001-01-01
Abstract
The dynamics of a quantum system undergoing frequent measurements (quantum Zeno effect) is investigated. Using asymptotic analysis, the system is found to evolve unitarily in a proper subspace of the total Hilbert space. For measurements represented by spatial projections, the generator of the ‘‘Zeno dynamics’’ is the Hamiltonian with Dirichlet boundary conditions.File in questo prodotto:
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