Zeno dynamics and constraints

Facchi, P. ; Marmo, G. ; Pascazio, S. ; Scardicchio, A. ; Sudarshan, E. C. G. (2004) Zeno dynamics and constraints Journal of Optics B: Quantum and Semiclassical Optics, 6 (6). S492-S501. ISSN 1464-4266

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Official URL: http://iopscience.iop.org/1464-4266/6/6/006

Related URL: http://dx.doi.org/10.1088/1464-4266/6/6/006


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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
ID Code:50974
Deposited On:27 Jul 2011 13:02
Last Modified:18 May 2016 05:05

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