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We study the mutually coupled, strongly interacting bosonic andnon-interacting fermionic, species of unequal masses in the regime were theretardation effects are an important part of the physics. A cloud of neutralatoms experiences a synthetic magnetic field because of a vector potential thatimposes a phase shift on the constituents. The magnetic field causes theoscillations of the magnitude and sign of the effective interaction betweenbosons from repulsive to attractive in contrast to the static case. We showthat the dynamics for the gaseous Bose-Fermi mixtures when reaching thequantum-Hall regime becomes highly nontrivial.

Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field