Anderson localization in spin orbit coupling Bose Einsteincondensate

The wave propagating in a medium including irregularities is localized as a result of multiple scattering from randomly distributed impurities in the medium. This phenomenon, called Anderson localization, has an important place in condensed matter physics. Anderson localization is an observable phenomenon in Bose-Einstein condensates consisting of ultracold atoms trapped by a disordered external potential. In such an environment, the exponential decay of the eigenfunctions of the system is characteristic of Anderson localization. In this study, Bose-Einstein condensate trapped with a random external potential and containing spin-orbit coupling was examined. Parameters that increase localization were determined by examining the effects of spin-orbit coupling on Anderson localization. Anderson localization affects the ground state dynamics of the system; It has been shown by numerical calculations that if the localization decreases, chaotic dynamics occurs, and if it increases, regular dynamics occurs.