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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/3716
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