Theoretical proposals for studying the
Bose-Einstein condensation with magnetic systems were followed by a
vast number of experimental works. These studies were typically done on
spin dimer compounds. Magnetic systems have the advantage that the
magnetic field, which plays role of a chemical potential, can be varied
continuously over a large range of values. A natural question that
arises is if other phases that have been proposed for bosonic gases of
atoms can be realized in quantum magnets. The supersolid state is a
prominent and interesting example because the experimental evidence for
this novel phase is still inconclusive. By using a combination of
analytical and numerical approaches, I will show that different and
simple spin one Heisenberg models contain a supersolid phase in their
quantum phase diagrams. The spin SS phase is induced by application of
a magnetic field whose Zeeman splitting is comparable to the magnitude
of the exchange interactions. I will also discuss some alternative ways
of finding a spin supersolid in real materials.