Critical phenomena of dynamical delocalization in a quantum Anderson map

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
H YamadaK S Ikeda

Abstract

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 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)∼(M-1)(-1).

References

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Citations

Apr 16, 2020·Physical Review. E·Hiroaki S Yamada, Kensuke S Ikeda
Mar 20, 2018·Physical Review. E·Simone NotarnicolaAngelo Russomanno

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