Multipartite optomechanical entanglement from competing nonlinearities

We investigate the nature of the three-mode interaction inside an optomechanically active microtoroid with a sizable χ⁽²⁾ coefficient. Experimental techniques are quickly advancing to the point where structures with the necessary properties can be made, and we argue that these provide a natural setting in which to observe rich dynamics leading, for instance, to genuine tripartite steady-state entanglement. We also show that this approach lends itself to a full characterization of the three-mode state of the system.