  We analyze an optomechanical system formed by a mechanical mode and the two
optical modes of an optomechanical cavity for the realization of a strongly
quantum correlated three-mode system. We show that the steady state of the
system shows three possible bipartite continuous variable entanglements in an
experimentally accessible parameter regime, which are robust against
temperature. We further show that selective entanglement between the mechanical
mode and any of the two optical modes is also possible by the proper choice of
the system parameters. Such a two-mode optomechanical system can be used for
the realization of continuous variable quantum information interfaces and
networks.
