Lyapunov Exponents, Entropy Production, and Decoherence
- 29 November 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 83 (22) , 4526-4529
- https://doi.org/10.1103/physrevlett.83.4526
Abstract
We establish that the entropy production rate of a classically chaotic Hamiltonian system coupled to the environment settles, after a transient, to a metastable value given by the sum of positive generalized Lyapunov exponents. A metastable 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.Keywords
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