Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map

الأصل · EN

Using a quantum map version of one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in comparison with 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 εc of the normalized perturbation at the transition point remarkably decreases as εc (M-1)⁻¹.