Two-membrane cavity optomechanics: Non-linear dynamics

Year: 2021

Authors: Piergentili P.; Li W.; Natali R.; Malossi N.; Vitali D.; Di Giuseppe G.

Autors Affiliation: School of Science and Technology, Physics Division, University of Camerino, Camerino (MC), I-62032, Italy; INFN, Sezione di Perugia, INFN, Sezione di Perugia,; CNR-INO, L.go Enrico Fermi 6, Firenze, I-50125, Italy

Abstract: We study the non-linear dynamics of a multimode optomechanical system constituted of a driven high-finesse Fabry-Pyrot 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.

Journal/Review: NEW JOURNAL OF PHYSICS

Volume: 23 (7)      Pages from: 073013-1  to: 073013-15

More Information: We acknowledge the support of the European Union Horizon 2020 Programme for Research and Innovation through the Project No. 732894 (FET Proactive HOT) and the Project QuaSeRT funded by the QuantERA ERA-NET Cofund in Quantum Technologies. P Piergentili acknowledges support from the European Union´s Horizon 2020 Programme for Research and Innovation under Grant Agreement No. 722923 (Marie Curie ETN-OMT).
KeyWords: optomechanical systems; non-linear dynamics; radiation pressure; optical cavity
DOI: 10.1088/1367-2630/abdd6a