  Dissipationless flows in single-component superfluids have a significant
degree of universality. In \textsuperscript{4}He, the dissipationless mass flow
occurs with a superfluid velocity determined by the gradient of the superfluid
phase. However, in interacting superfluid mixtures, principally new effects
appear. In this work, we demonstrate a new kind of dissipationless phenomenon
arising in mixtures of interacting bosons in optical lattices. We point out
that for a particular class of optical lattices, bosons condense in a state
where one of the components' superflow results in dissipationless mass flow of
the other component, in a direction different from either of the components'
superfluid velocity. The free-energy density of these systems contains a vector
product-like interaction of superfluid velocities, producing the
dissipationless noncollinear entrainment. The effect represents a superfluid
counterpart of the spin Hall effect.
