Zeno dynamics yields ordinary constraints

P. Facchi, S. Pascazio, A. Scardicchio, and L. S. Schulman
Phys. Rev. A 65, 012108 – Published 13 December 2001
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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 measurements represented by spatial projections, the generator of the “Zeno dynamics” is the Hamiltonian with Dirichlet boundary conditions.

  • Received 8 January 2001

DOI:https://doi.org/10.1103/PhysRevA.65.012108

©2001 American Physical Society

Authors & Affiliations

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

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Vol. 65, Iss. 1 — January 2002

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