Quantum Zeno effect, adiabaticity and dynamical superselection rules
Quantum Physics
2017-08-23 v1
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.
Cite
@article{arxiv.quant-ph/0202174,
title = {Quantum Zeno effect, adiabaticity and dynamical superselection rules},
author = {P. Facchi},
journal= {arXiv preprint arXiv:quant-ph/0202174},
year = {2017}
}
Comments
24 pages, 1 figure