  The chiral magnetic and chiral separation effects---quantum-anomaly-induced
electric current and chiral current along an external magnetic field in
parity-odd quark-gluon plasma---have received intense studies in the community
of heavy-ion collision physics. We show that analogous effects occur in
rotating trapped Fermi gases with Weyl-Zeeman spin-orbit coupling where the
rotation plays the role of an external magnetic field. These effects can induce
a mass quadrupole in the atomic cloud along the rotation axis which may be
tested in future experiments. Our results suggest that the spin-orbit coupled
atomic gases are potential simulators of the chiral magnetic and separation
effects.
