Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map.

In the previous paper[arXiv:1911.02189], localization and delocalization phenomena in the polychromatically perturbed Anderson map (AM) were elucidated mainly from the viewpoint of localization-delocalization transition (LDT) on the increasing of the perturbation strength $\epsilon$. In this paper, we mainly investigate the disorder strength $W-$dependence of the phenomena in the AM with a characetristic disorder strength $W^*$. In the completely localized region the $W-$dependence and $\epsilon-$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 $\epsilon$. We also investigate the diffusive properties of the delocalized states induced by the parameters.