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

Abstract

The separation of the Schrödinger 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.

8 pages, 2 figures

References in corpus (3)

• Decoherence, Chaos, and the Correspondence Principle
• Dynamical Localization in Quasi-Periodic Driven Systems
• Dissipation in finite Fermi systems

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• Chirality asymptotic behavior and non-Markovianity in quantum walks on a line
• Quantum walks: decoherence and coin-flipping games
• Effects of non-local initial conditions in the Quantum Walk on the line
• Quantum walk, entanglement and thermodynamic laws
• Correlation effects in a discrete quantum random walk
• Limit Theorems for Decoherent Two Dimensional Quantum Walks