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Phys. Rev. A 65, 012108 (2001) [5 pages]

Zeno dynamics yields ordinary constraints

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P. Facchi1, S. Pascazio2, A. Scardicchio2, and L. S. Schulman3
1Atominstitut der Österreichischen Universitäten, Stadionallee 2, A-1020, Wien, Austria
2Dipartimento di Fisica, Università di Bari, I-70126 Bari, ItalyIstituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari, Italy
3Physics Department, Clarkson University, Potsdam, New York 13699-5820

Received 8 January 2001; published 13 December 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.012108
DOI:
10.1103/PhysRevA.65.012108
PACS:
03.65.Xp, 03.65.Db, 02.30.Mv
 
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