Title: Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields,
Abstract: We investigate the ground state properties of ultracold atoms with long range
interactions trapped in a two leg ladder configuration in the presence of an
artificial magnetic field. Using a Gross-Pitaevskii approach and a mean field
Gutzwiller variational method, we explore both the weakly interacting and
strongly interacting regime, respectively. We calculate the boundaries between
the density-wave/supersolid and the Mott-insulator/superfluid phases as a
function of magnetic flux and uncover regions of supersolidity. The mean-field
results are confirmed by numerical simulations using a cluster mean field
approach.