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Critical phenomena of dynamical delocalization in a quantum Anderson map

Critical phenomena of dynamical delocalization in a quantum Anderson map

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 …