  We consider an ultra-small system of polarized bosons on an optical lattice
with a ring topology interacting via long range dipole-dipole interactions.
Dipoles polarized perpendicular to the plane of the ring reveal sharp
transitions between different density wave phases. As the strength of the
dipolar interactions is varied the behavior of the transitions is first-order
like. For dipoles polarized in the plane of the ring the transitions between
possible phases show pronounced sensitivity to the lattice depth. The abundance
of possible configurations may be useful for quantum information applications.
