Entropy production, dynamical localization and criteria for quantum chaos in the open quantum kicked rotor

Abstract

The von Neumann entropy production for a quantum mechanical kicked rotor coupled to a thermal environment is calculated. This rate of entropy increase is shown to be a good criterion to distinguish between quantum mechanical counterparts of chaotic and regular classical motion. We show that for high temperatures the entropy production rate increases linearly with the Kolmogorov-Sinai entropy of the classical system. However, for lower temperatures we also show that there are fluctuations in this linear behaviour due to dynamical localization.

18 figures, uses the included files ioplppt.sty and iopl12.sty. To be published in Nonlinearity