Anderson localization of cold atomic gases with effective spin-orbit interaction in a quasiperiodic optical lattice

摘要

We theoretically investigate the localization properties of a spin-orbit-coupled spin-1/2 particle moving in anone-dimensional quasiperiodic potential, which can be experimentally implemented using cold atoms trapped inna quasiperiodic optical lattice potential and external laser fields. We present the phase diagram in the parameternspace of the disorder strength and those related to the spin-orbit coupling. The phase diagram is verified vianmultifractal analysis of the atomic wave functions and the numerical simulation of diffusion dynamics. Wenfound that spin-orbit coupling can lead to spectra mixing (coexistence of extended and localized states) and thenappearance of mobility edges.