Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map

Abstract

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 ${\epsilon }_c$ of the normalized perturbation at the transition point remarkably decreases as ${\epsilon }_c\sim (M-1{)}^{-1}$.

6 pages, 5 figures

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Cited by in corpus (5)

• From localization to anomalous diffusion in the dynamics of coupled kicked rotors
• Critical Phenomena of Dynamical Delocalization in Quantum Maps:standard map and Anderson map
• Scaling Properties of Dynamical Localization in Monochromatically Perturbed Quantum Maps: standard map and Anderson map
• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system
• Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices