Markovian Behaviour and Constrained Maximization of the Entropy in Chaotic Quantum Systems

Details Markovian Behaviour and Constrained Maximization of the Entropy in Chaotic Quantum Systems Markovian Behaviour and Constrained Maximization of the Entropy in Chaotic Quantum Systems

2002-04-23

arxiv.org/abs/quant-ph/0204135v2

Physics Letters A 313 (2003) 325-329.

Physics

Quantum Physics

8 pages, 2 figures

Scientific paper

10.1016/S0375-9601(03)00768-0

The separation of the Schr\"{o}dinger equation into a Markovian and an interference term provides a new insight in the quantum dynamics of classically chaotic systems. The competition between these two terms determines the localized or diffusive character of the dynamics. In the case of the Kicked Rotor, we show how the constrained maximization of the entropy implies exponential localization.

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