Dynamics of a movable micro-mirror in a nonlinear optical cavity

We consider the dynamics of a movable mirror (cantilever) of a nonlinear optical cavity. We show that a $\chi^{(3)}$ medium with a strong Kerr nonlinearity placed inside a cavity inhibits the normal mode splitting (NMS) due to the photon blockade mechanism. This study demonstrates that NMS could be used as a tool to observe the photon blockade effect. We also found that the backaction cooling of the movable mirror is reduced in the presence of the Kerr medium.