Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems

Details Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems

2004-06-26

arxiv.org/abs/nlin/0406062v1

Nonlinear Sciences

Chaotic Dynamics

PhD Dissertation, University of California at Davis, June 2004, LaTex, 195 pages

Scientific paper

We introduce a new characteristics of chaoticity of classical and quantum dynamical systems by defining the notion of the dissipation time which enables us to test how the system responds to the noise and in particular to measure the speed at which an initially closed, conservative system converges to the equilibrium when subjected to noisy (stochastic) perturbations. We prove fast dissipation result for classical Anosov systems and general exponentially mixing maps. Slow dissipation result is proved for regular systems including non-weakly mixing maps. In quantum setting we study simultaneous semiclassical and small noise asymptotics of the dissipation time of quantized toral symplectomorphisms (generalized cat maps) and derive sharp bounds for semiclassical regime in which quantum-classical correspondence of dissipation times holds.

Affiliated with

Also associated with

No associations

Rating

Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noise Induced Dissipation in Discrete-Time Classical and Quantum Dynamical Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706488