Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment

Details Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment Observation of the Anderson Metal-Insulator Transition with Atomic Matter Waves: Theory and Experiment

2009-07-20

arxiv.org/abs/0907.3411v1

Phys.Rev.A 80, 4 (2009) 043626

Physics

Quantum Physics

19 pages, 15 figures, submitted to PRA

Scientific paper

10.1103/PhysRevA.80.043626

Using a cold atomic gas exposed to laser pulses -- a realization of the chaotic quasiperiodic kicked rotor with three incommensurate frequencies -- we study experimentally and theoretically the Anderson metal-insulator transition in three dimensions. Sensitive measurements of the atomic wavefunction and the use of finite-size scaling techniques make it possible to unambiguously demonstrate the existence of a quantum phase transition and to measure its critical exponents. By taking proper account of systematic corrections to one-parameter scaling, we show the universality of the critical exponent $\nu=1.59\pm0.01,$ which is found to be equal to the one previously computed for the Anderson model.

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