Universality of the Anderson transition with the quasiperiodic kicked rotor

TL;DR

This paper demonstrates that the quasiperiodic kicked rotor exhibits the same critical phenomena as the 3D Anderson model, confirming the universality of the Anderson transition through numerical analysis.

Contribution

It provides numerical evidence that the quasiperiodic kicked rotor shares the same critical behavior as the 3D Anderson model, confirming universality.

Findings

Critical exponent ν = 1.59 ± 0.01 matches the Anderson model

Quasiperiodic kicked rotor exhibits Anderson transition

Universality confirmed through one-parameter scaling

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.