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Phys. Rev. Lett. 83, 4526–4529 (1999)

Lyapunov Exponents, Entropy Production, and Decoherence

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Arjendu K. Pattanayak
Department of Physics, Rice University, Houston, Texas 77251-1892

Received 13 April 1999; published in the issue dated 29 November 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.4526
DOI:
10.1103/PhysRevLett.83.4526
PACS:
05.45.Mt, 03.65.Sq, 03.65.Bz, 65.50.+m