  We numerically study the expansion dynamics of initially localized dipolar
bosons in a homogeneous 1D optical lattice for different initial states.
Comparison is made to interacting bosons with contact interaction. For shallow
lattices the expansion is unimodal and ballistic, while strong lattices
suppress tunneling. However for intermediate lattice depths a strong interplay
between dipolar interaction and lattice depth occurs. The expansion is found to
be bimodal, the central cloud expansion can be distinguished from the outer
halo structure. In the regime of strongly interactions dipolar bosons exhibit
two time scales, with an initial diffusion and then arrested transport in the
long time; while strongly interacting bosons in the fermionized limit exhibit
ballistic expansion. Our study highlights how different lattice depths and
initial states can be manipulated to control tunneling dynamics.
