Decoherence, Chaos, and the Second Law

Details Decoherence, Chaos, and the Second Law Decoherence, Chaos, and the Second Law

1994-02-02

arxiv.org/abs/gr-qc/9402006v2

Phys.Rev.Lett.72:2508,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 Pages, 2 Figures available upon request, Preprint LA-UR-93-, The new version contains the text, the previous one had only t

Scientific paper

10.1103/PhysRevLett.72.2508

We investigate implications of decoherence for quantum systems which are classically chaotic. We show that, in open systems, the rate of von Neumann entropy production quickly reaches an asymptotic value which is: (i) independent of the system-environment coupling, (ii) dictated by the dynamics of the system, and (iii) dominated by the largest Lyapunov exponent. These results shed a new light on the correspondence between quantum and classical dynamics as well as on the origins of the ``arrow of time.''

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