Universality of the Anderson transition with the quasiperiodic kicked rotor

Abstract

We report a numerical analysis of the Anderson transition in a quantum-chaotic system, the quasiperiodic kicked rotor with three incommensurate frequencies. It is shown that this dynamical system exhibits the same critical phenomena as the truly random 3D-Anderson model. By taking proper account of systematic corrections to one-parameter scaling, the universality of the critical exponent is demonstrated. Our result = 1.59 0.01 is in perfect agreement with the value found for the Anderson model.

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