Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator

Details Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator

2000-07-27

arxiv.org/abs/cond-mat/0007437v1

Physics

Condensed Matter

7 pages, 4 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.63.066217

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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