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Quantum Zeno effect, adiabaticity and dynamical superselection rules | P. Facchi
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28 Feb 2002 | Journal: | in Fundamental Aspects of Quantum Physics, L. Accardi and S. Tasaki eds., Quantum Probability and White Noise Analysis, Vol. 17, p. 197 (2003) | Subject: | quant-ph | Abstract: | The evolution of a quantum system undergoing very frequent measurements takes place in a proper subspace of the total Hilbert space (quantum Zeno effect). When the measuring apparatus is included in the quantum description, the Zeno effect becomes a pure consequence of the dynamics. We show that for continuous measurement processes the quantum Zeno evolution derives from an adiabatic theorem. The system is forced to evolve in a set of orthogonal subspaces of the total Hilbert space and a dynamical superselection rule arises. The dynamical properties of this evolution are investigated and several examples are considered. | Source: | arXiv, quant-ph/0202174 | Services: | Forum | Review | PDF | Favorites |
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