Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map
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.