  We present a scheme for cavity-assisted generation of hybrid entanglement
between a moving mirror belonging to an optomechanical cavity and a single
trapped ion located inside a second cavity. Due to radiation pressure, it is
possible to entangle the moving mirror with one of the cavity fields. Also, by
tuning the second cavity field with the internal degrees of freedom of the ion,
an entangled state of the cavity field/ion can be independently generated. The
fields leaking from each cavity are then combined in a beam-splitter, and
following the detection of the outgoing photons by conveniently placed
photodetectors, we show that it is possible to generate entangled states of the
moving mirror and the single trapped ion subsystems. In our scheme the
generated states are hybrid entangled states, in the sense that they are
constituted by discrete (Fock) states and continuous variable (coherent)
states.
