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Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator

G. Casati·G. Mantica·D. L. Shepelyansky
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Abstract

We study the dynamics of a quantum rotator kicked according to the almost-periodic Fibonacci sequence. A special numerical technique allows us to carry on this investigation for as many as $10^{12}$ kicks. It is shown that above a critical kick strength the excitation of the system is well described by regular diffusion, while below this border it becomes anomalous, and sub-diffusive. A law for the dependence of the exponent of anomalous sub-diffusion on the system parameters is established numerically. The analogy between these results and quantum diffusion in models of quasi-crystal and in the kicked Harper system is discussed.

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G. Casati, G. Mantica, D. L. Shepelyansky. 2000-07-27. Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator. https://doi.org/10.1103/physreve.63.066217

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