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Critical Phenomena of Dynamical Delocalization in Quantum Anderson Map

Authors
  • Yamada, Hiroaki S.
  • Matsui, Fumihiro
  • Ikeda, Kensuke S.
Type
Preprint
Publication Date
Nov 20, 2015
Submission Date
Sep 24, 2015
Identifiers
DOI: 10.1103/PhysRevE.92.062908
Source
arXiv
License
Yellow
External links

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 $\epsilon_c \sim (M-1)^{-1}$.

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