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

Automated summary

This paper reviews the linear and non-linear dynamics of an optomechanical system consisting of a two-membrane etalon and a high-finesse Fabry-Perot cavity. This system has the potential to modify the single-photon optomechanical coupling and cool two mechanical oscillators simultaneously. It is a promising platform for realizing cavity optomechanics with multiple resonators. In the non-linear regime, an analytical approach based on slowly varying amplitude equations allows for a truthful detection of membrane displacements beyond the linear sensing limits imposed by the cavity linewidth. Additionally, the system exhibits a pre-synchronization regime.