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Quantum manifestation of Levy-type flights in a chaotic system

A. Iomin·G. M. Zaslavsky
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Abstract

Semi--classical dynamics of quantum wave packets spreading is studied for a kicked rotor. Quantum flights are established for a specific, "magic" value of a chaos control parameter when the classical stickiness of trajectories is most effective. By studying of survival probability and distribution of the accelerations we identify the presence of quantum Levy-type flights.

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A. Iomin, G. M. Zaslavsky. 2000-12-13. Quantum manifestation of Levy-type flights in a chaotic system. https://arxiv.org/abs/nlin/0012028

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