1998/11/27 by Paul A. Miller, Paul A Miller, Sarben Sarkar
Physics and Astronomy · #Chaos control and synchronization #Quantum chaos and dynamical systems #chao-dyn #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/0951-7715/12/2/016
18 figures, uses the included files ioplppt.sty and iopl12.sty. To be published in Nonlinearity
arxiv created 1998/11/27 · openalex publication_date 1999/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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. PACS Numbers: 0545, 0365