  In contrast to the ordinary spin Hall effect (SHE), which is a single-body
phenomenon caused by the spin-orbit interaction (SOI), we propose amany-body
SHE induced by the dipole-dipole interaction (DDI) between particles and
demonstrate it in a system of ultracold magnetic atoms. While the SOI usually
requires the breaking of space-inversion symmetry, the DDI preserves it. The
many-body SHE can, in principle, be observed in a wide range of systems with
large dipole moments and offers a powerful tool to generate spin currents, an
essential ingredient in spintronics and atomtronics.
