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American Physical Society, Physical Review A, 1(65), 2001

DOI: 10.1103/physreva.65.012108

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Zeno dynamics yields ordinary constraints

Journal article published in 2001 by P. Facchi, S. Pascazio, A. Scardicchio ORCID, L. S. Schulman
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This paper is available in a repository.

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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 spatial projections, the generator of the "Zeno dynamics" is the Hamiltonian with Dirichlet boundary conditions. Comment: 6 pages