Quantum Zeno effect, adiabaticity and dynamical superselection rules

Details Quantum Zeno effect, adiabaticity and dynamical superselection rules Quantum Zeno effect, adiabaticity and dynamical superselection rules

2002-02-28

arxiv.org/abs/quant-ph/0202174v1

in Fundamental Aspects of Quantum Physics, L. Accardi and S. Tasaki eds., Quantum Probability and White Noise Analysis, Vol. 1

Physics

Quantum Physics

24 pages, 1 figure

Scientific paper

10.1142/9789812704412_0012

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.

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