Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator
Condensed Matter
2009-10-31 v1
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 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.
Keywords
Cite
@article{arxiv.cond-mat/0007437,
title = {Regular and Anomalous Quantum Diffusion in the Fibonacci Kicked Rotator},
author = {G. Casati and G. Mantica and D. L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/0007437},
year = {2009}
}
Comments
7 pages, 4 figures, submitted to Phys. Rev. E