  We study a hybrid system formed from an optomechanical resonator and a cavity
mode strongly coupled to an excitonic transition inside a quantum well. We show
that due to the mixing of cavity photon and exciton states, the emergent
quasiparticles - polaritons - possess coupling to the mechanical mode of both
dispersive and dissipative nature. We calculate the occupancies of polariton
modes and reveal bistable behavior, which deviates from conventional Kerr
nonlinearity or dispersive coupling cases due to the dissipative coupling. The
described system serves as a good candidate for future polaritonic devices and
solid state quantum information processing.
