We investigate the quantum phases of hard-core dipolar bosons confined to a
square lattice in a bilayer geometry. Using exact theoretical techniques, we
discuss the many-body effects resulting from pairing of particles across layers
at finite density, including a novel pair supersolid phase, superfluid and
solid phases. These results are of direct relevance to experiments with polar
molecules and atoms with large magnetic dipole moments trapped in optical
lattices.Comment: 7 pages, 5 figure