Critical dynamics at the Anderson localization mobility edge
arXiv:1605.04329 · doi:10.1103/PhysRevA.94.033615
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.
8 pages, 3 figures; v2: minor corrections and final, published version
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