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IOP Publishing, Journal of Optics B Quantum and Semiclassical Optics, 6(6), p. S492-S501

DOI: 10.1088/1464-4266/6/6/006

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Zeno dynamics and constraints

Journal article published in 2004 by P. Facchi, G. Marmo, S. Pascazio, A. Scardicchio ORCID, E. C. G. Sudarshan
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This paper is available in a repository.

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Abstract

We investigate some examples of quantum Zeno dynamics, when a system undergoes very frequent (projective) measurements that ascertain whether it is within a given spatial region. In agreement with previously obtained results, the evolution is found to be unitary and the generator of the Zeno dynamics is the Hamiltonian with hard-wall (Dirichlet) boundary conditions. By using a new approach to this problem, this result is found to be valid in an arbitrary N-dimensional compact domain. We then propose some preliminary ideas concerning the algebra of observables in the projected region and finally look at the case of a projection onto a lower-dimensional space: in such a situation the Zeno ansatz turns out to be a procedure to impose constraints.