We analyse the combined e ect of the radiation-pressure and cross-Kerr nonlinearity on the stationary
solution of the dynamics of a nanomechanical resonator interacting with an electromagnetic cavity.
Within this setup, we show how the optical bistability picture induced by the radiation-pressure force is modi ed
by the presence of the cross-Kerr interaction term. More speci cally, we show how the optically bistable
region, characterising the pure radiation-pressure case, is reduced by the presence of a cross-Kerr coupling
term. At the same time, the upper unstable branch is extended by the presence of a moderate cross-Kerr term,
while it is reduced for larger values of the cross-Kerr coupling.peerReviewe