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arXiv:gr-qc/9402006gr-qc

Decoherence, Chaos, and the Second Law

Wojciech Hubert Zurek, Juan Pablo Paz

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Abstract

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.''

arXiv comments
13 Pages, 2 Figures available upon request, Preprint LA-UR-93-, The new version contains the text, the previous one had only the Macros: sorry!
Journal reference
Phys.Rev.Lett.72:2508,1994
DOI
doi:10.1103/PhysRevLett.72.2508
Subjects
gr-qcGeneral Relativity and Quantum Cosmology hep-thHigh Energy Physics, Theory

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  1. A meteorite hit the moon during yesterday's total lunar eclipse 1 comment

    • > My understanding is that chaotic systems are still deterministic, Classical chaotic systems are indeed deterministic in principle, and only effectively unpredictable due to finite measurement precision. But the world isn't classical, it's quantum, and quantum systems are…

      jessriedelView on HNParent context

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