Lyapunov exponents, entropy production and decoherence

Details Lyapunov exponents, entropy production and decoherence Lyapunov exponents, entropy production and decoherence

1999-11-12

arxiv.org/abs/chao-dyn/9911017v1

Nonlinear Sciences

Chaotic Dynamics

4 ReVTeX pages + 3 postscript figures. PRL (to appear)

Scientific paper

10.1103/PhysRevLett.83.4526

We establish that the entropy production rate of a classically chaotic Hamiltonian system coupled to the environment settles, after a transient, to a meta-stable value given by the sum of positive generalized Lyapunov exponents. A meta-stable steady state is generated in this process. This behavior also occurs in quantum systems close to the classical limit where it leads to the restoration of quantum-classical correspondence in chaotic systems coupled to the environment.

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