Two-Membrane Cavity Optomechanics: Linear and Non-Linear Dynamics

In this paper, we review the linear and non-linear dynamics of an optomechanical system made a two-membrane etalon in high-finesse Fabry–Pérot cavity. This setup has capacity to modify on demand single-photon coupling, linearized interaction regime cool simultaneously two mechanical oscillators. It is promising platform for realizing cavity optomechanics with multiple resonators. regime, analytical approach based slowly varying amplitude equations allows us derive consistent full characterization displacement detection, enabling truthful detection membrane displacements much above usual sensing limited by linewidth. Such high quality also shows pre-synchronization regime.