Interacting dynamical Anderson Metal-Insulator transition in kicked Bose-Einstein condensates: the effect of trapping potentials

Recent experimental progress on the observation of interaction effect on the dynamical localization-delocalization transition in kicked BEC has opened a new avenue for studying the interplay of interaction and disorder physics. In the experiments, a Gaussian trapping potential is used, which is different from the ideal quantum kicked rotor on a ring that has no spatially inhomogeneous potential. On the other hand, the experimental progress on realizing box-type of hard wall potentials for cold atoms offers another attractive platform for studying interacting Anderson localization physics. In this talk, we present our mean field numerical study of the kicked BEC with three types of potentials: Gaussian, ring, and box. We find the phase diagram of interacting Anderson Metal-insulator transition for a box potential is very close to that for the ideal ring potential, indicating kicked atomic gases in a box potential is a better system for studying many-body dynamical localization physics.