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arXiv · 1509.07549

Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map

Hiroaki S. Yamada·Fumihiro Matsui·Kensuke S. Ikeda
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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 $ε_c$ of the normalized perturbation at the transition point remarkably decreases as $ε_c \sim (M-1)^{-1}$.

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Hiroaki S. Yamada, Fumihiro Matsui, Kensuke S. Ikeda. 2015-11-21. Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map. https://doi.org/10.1103/physreve.92.062908

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