  We investigate the anomalous transport in optically-induced potentials that
are random in both space and time. We find that the time variation destroys
Anderson localization, replacing it by transport that is faster than diffusion,
which in some cases can be even faster than ballistic. We relate this
phenomenon to Chirikov's theory of overlapping resonances, and find radical
differences between the anomalously-enhanced transport in one-dimensional and
two-dimensional systems.
