  We demonstrate that directed transport of particles in a two dimensional
driven lattice can be dynamically reversed multiple times by superimposing
additional spatially localized lattices on top of a background lattice. The
timescales of such current reversals can be flexibly controlled by adjusting
the spatial locations of the superimposed lattices. The key principle behind
the current reversals is the conversion of the particle dynamics from chaotic
to ballistic, which allow the particles to explore regions of the underlying
phase space which are inaccessible otherwise. Our results can be experimentally
realized using cold atoms in driven optical lattices and allow for the control
of transport of atomic ensembles in such setups.
