Combination of dissipative and dispersive coupling in the cavity optomechanical systems

An analysis is given for the Fabry-Perot cavity having a combination of dissipative and dispersive optomechanical coupling. It is established that the combined coupling leads to optical rigidity. At the same time, this rigidity appears in systems with the combined coupling on the resonant pump, which is not typical for pure dispersive and dissipative couplings. A proposal is made to use this system to detect small signal forces with better sensitivity than the standard quantum limit. It is also demonstrated that this optomechanical system can create ponderomotive squeezing with controllable parameters over a wider range than ponderomotive squeezing using dispersive coupling.