title: Critical phenomena of dynamical delocalization in a quantum Anderson map.
abstract: Using a quantum map version of the one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with the quantum standard map. Existence of critical phenomena, which depends on the number of frequency component M, is demonstrated. Diffusion exponents agree with theoretical prediction for the transition, but the critical exponent of the localization length deviates from it with increase in the M. The critical power ε(c) of the normalized perturbation at the transition point remarkably decreases as ε(c)∼(M-1)(-1).
authors.affiliation: Yamada Physics Research Laboratory, Aoyama 5-7-14-205, Niigata 950-2002, Japan.
authors.forename: Hiroaki S
authors.initials: HS
authors.lastname: Yamada
authors.affiliation: Department of Physics, College of Science and Engineering, Ritsumeikan University Noji-higashi 1-1-1, Kusatsu 525-8577, Japan.
authors.forename: Fumihiro
authors.initials: F
authors.lastname: Matsui
authors.affiliation: College of Science and Engineering, Ritsumeikan University Noji-higashi 1-1-1, Kusatsu 525-8577, Japan.
authors.forename: Kensuke S
authors.initials: KS
authors.lastname: Ikeda