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arXiv · 2003.04681

Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map

Hiroaki S. Yamada·Kensuke S. Ikeda
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Abstract

In the previous paper [PRE 101,032210(2020)], localization and delocalization phenomena in the polychromatically perturbed Anderson map (AM) were elucidated mainly from the viewpoint of localization-delocalization transition (LDT) on the increase of the perturbation strength $ε$. In this paper, we mainly investigate the dependency of the phenomena on the disorder strength $W$ ($W-$dependence) in the AM with a characteristic disorder strength $W^*$. In the completely localized region the $W-$dependence and $ε-$dependence of the localization length show characteristic behavior similar to those reported in monochromatically perturbed case [PRE 97,012210(2018)]. Furthermore, the obtained results show that even for the increase of the $W$, the critical phenomena and critical exponent are found to be similar to those in the LDT caused by the increase of $ε$. We also investigate the diffusive properties of the delocalized states induced by the parameters.

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Hiroaki S. Yamada, Kensuke S. Ikeda. 2022-08-18. Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map. https://arxiv.org/abs/2003.04681

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