  We study two-species Bose-Einstein condensates in quasi two-dimensional
optical lattices of varying geometry and potential depth. Based on the
numerically exact Bloch and Wannier functions obtained using the plane-wave
expansion method, we quantify the drag (entrainment coupling) between the
condensate components. This drag originates from the (short range)
inter-species interaction and increases with the kinetic energy. As a result of
the interplay between interaction and kinetic energy effects, the
superfluid-drag coefficient shows a non-monotonic dependence on the lattice
depth. To make contact with future experiments, we quantitatively investigate
the drag for mass ratios corresponding to relevant atomic species.

Quantum Gases;Quantum Physics