  Understanding the interplay of interactions and disorder in quantum transport
poses long-standing scientific challenges, with many-body quantum transport
phenomena in high-dimensional disordered systems remaining largely unexplored
experimentally. We utilize a momentum space lattice platform using
quasi-periodically kicked ultracold atomic gases to experimentally investigate
many-body effects on the three-dimensional Anderson metal-insulator transition.
We observe interaction-driven sub-diffusion and a divergence of delocalization
onset time on approaching the many-body phase boundary. Mean-field numerical
simulations are in qualitative agreement with experimental observations.
