Critical dynamics at the Anderson localization mobility edge

TL;DR

This paper investigates the critical dynamics of matter waves at the 3D Anderson mobility edge, combining scaling theory and numerical simulations to identify signatures of critical slowdown and anomalous diffusion in cold-atom experiments.

Contribution

It provides a detailed analysis of critical behavior at the Anderson mobility edge using both theoretical scaling arguments and high-precision numerical results.

Findings

Identification of critical slowdown signatures in wave packet dynamics

Numerical evidence for anomalous diffusion at the mobility edge

Quantitative characterization of spectral function, diffusion coefficient, and localization length

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.