  Motivated by recent experiments [Lin {\it et al.}, Nature {\bf 417}, 83
(2011)] that engineered spin-orbit coupling in ultra-cold mixtures of bosonic
atoms, we study the dipole oscillation of trapped spin-orbit-coupled
non-condensed Bose and Fermi gases. We find that different directions of
oscillation are coupled by the spin-orbit interactions. The phase difference
between oscillatory motion in orthogonal directions and the trapping
frequencies of the modes are shown to be related to the anomalous Hall
conductivity. Our results can be used to experimentally determine the anomalous
Hall conductivity for cold-atom systems.
