  We consider a dilute homogeneous Bose gas with both an isotropic short-range
contact interaction and an anisotropic long-range dipole-dipole interaction in
a weak random potential at low temperature in three dimensions. Within the
realm of Bogoliubov theory we analyze how both condensate and superfluid
depletion are depleted due to quantum and thermal fluctuations as well as
disorder fluctuations.
