  Cooling to the motional ground state is an important first step in the
preparation of nonclassical states of mesoscopic mechanical oscillators.
Light-mediated coupling to a remote atomic ensemble has been proposed as a
method to reach the ground state for low frequency oscillators. The ground
state can also be reached using optical measurement followed by feedback
control. Here we investigate the possibility of enhanced cooling by combining
these two approaches. The combination, in general, outperforms either
individual technique, though atomic ensemble-based cooling and feedback cooling
each individually dominate over large regions of parameter space.
