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We study Anderson Localization in two dimensional (2D) disordered spin-orbitsystems described by the Gaussian symplectic ensemble using momentum-spacesignatures such as the coherent backscattering (CBS) anti-peak, and thecoherent forward scattering (CFS) peak. Significantly, these momentum-spacefeatures are readily accessible in ultracold atom experiments throughabsorption imaging after time-of-flight expansion. The critical exponent andmobility edge of the metal-insulator transition are successfully obtained inthis model through a finite-time analysis of the CBS width. An anomalousresidual diffusion, unique to 2D, is identified at the transition point wherethe system changes from a metal to an insulator. A spin localization phenomenonis also observed in the deep localized regime.

Momentum-space signatures of the Anderson transition in a symplectic, two-dimensional, disordered ultracold gas