Physics – Quantum Physics
Scientific paper
2003-10-07
J. Opt. B: Quantum Semiclass. Opt. 6 (2004) S492
Physics
Quantum Physics
21 pages
Scientific paper
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.
Facchi Paolo
Marmo Giuseppe
Pascazio Saverio
Scardicchio Antonello
Sudarshan E. C. G.
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