2020/09/30 by Paolo Piergentili, Wenlin Li, Riccardo Natali +3 · 1 citation
Physics and Astronomy · #quant-ph #nlin.AO #physics.optics
paper · pdf · doi:10.1088/1367-2630/abdd6a
published as New J. Phys. 23, 073013 (2021)
arxiv created 2021/07/13 · arxiv updated 2021/07/14
We study the non-linear dynamics of a multimode optomechanical system constituted of a driven high-finesse Fabry-Pérot cavity containing two vibrating dielectric membranes. The analytical study allows to derive a full and consistent description of the displacement detection by a probe beam in the non-linear regime, enabling the faithful detection of membrane displacements well above the usual sensing limit corresponding to the cavity linewidth. In the weak driving regime where the system is in a pre-synchronized situation, the unexcited oscillator has a small, synchronized component at the frequency of the excited one; both large and small amplitude resonator motions are transduced in a nontrivial way by the non-linear response of the optical probe beam. We find perfect agreement between the experimental results, the numerical simulations, and an analytical approach based on slowly-varying amplitude equations.