  We theoretically investigate the nonlinear effects in a hybrid quantum
optomechanical system consisting of two optically coupled semiconductor
microcavities containing a quantum dot and a Kerr nonlinear substrate.The
steady state behavior of the mean intracavity optical field demonstrates that
the system can be used as an all optical switch. We further investigate the
spectrum of small fluctuations in the mechanical displacement of the movable
distributed Bragg reflectors (DBR) and observe that normal mode splitting (NMS)
takes place for high Kerr nonlinearity and pump power. In addition, we have
shown that steady state of the system exhibits two possible bipartite
entanglements by proper tuning of the system parameters. The entanglement
results suggest that the proposed system has the potential to be used in
quantum communication platform. Our work demonstrates that the
Kerr-nonlinearity can effectively control the optical properties of the hybrid
system, which can be used to design efficient optical devices.

Mesoscale and Nanoscale Physics