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arxiv: 0904.2324 · v2 · pith:BYSWJEZUnew · submitted 2009-04-15 · ❄️ cond-mat.dis-nn · cond-mat.quant-gas· quant-ph

Universality of the Anderson transition with the quasiperiodic kicked rotor

classification ❄️ cond-mat.dis-nn cond-mat.quant-gasquant-ph
keywords andersoncriticalkickedmodelquasiperiodicrotorsystemtransition
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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.

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