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arXiv · 1605.04329

Critical dynamics at the Anderson localization mobility edge

Cord A. Müller·Dominique Delande·Boris Shapiro
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Abstract

We study the critical dynamics of matter waves at the 3D Anderson mobility edge in cold-atom disorder quench experiments. General scaling arguments are supported by precision numerics for the spectral function, diffusion coefficient, and localization length in isotropic blue-detuned speckle potentials. We discuss signatures of critical slowdown in the time-dependent central column density of a spreading wave packet, and evaluate the prospects of observing anomalous diffusion right at criticality.

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Cord A. Müller, Dominique Delande, Boris Shapiro. 2016-05-13. Critical dynamics at the Anderson localization mobility edge. https://doi.org/10.1103/physreva.94.033615

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