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 $\nu =1.59\pm 0.01$ is in perfect agreement with the value found for the Anderson model.

4 figures, 3 tables (published version)

References in corpus (5)

• Anderson Transitions
• Localization of ultrasound in a three-dimensional elastic network
• Experimental observation of the Anderson transition with atomic matter waves
• A semiclassical theory of the Anderson transition
• Anderson transition in a three dimensional kicked rotor

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