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arXiv · 1912.03353

Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field

Wenlin Li·Paolo Piergentili·Jie Li·Stefano Zippilli·Riccardo Natali·Nicola Malossi·Giovanni Di Giuseppe·David Vitali
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Abstract

We study synchronization of a room temperature optomechanical system formed by two resonators coupled via radiation pressure to the same driven optical cavity mode. By using stochastic Langevin equations and effective slowly-varying amplitude equations, we explore the long-time dynamics of the system. We see that thermal noise can induce significant non-Gaussian dynamical properties, including the coexistence of multi-stable synchronized limit cycles and phase diffusion. Synchronization in this optomechanical system is very robust with respect to thermal noise: in fact, even though each oscillator phase progressively diffuses over the whole limit cycle, their phase difference is locked, and such a phase correlation remains strong in the presence of thermal noise.

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Wenlin Li, Paolo Piergentili, Jie Li, Stefano Zippilli, Riccardo Natali, Nicola Malossi, Giovanni Di Giuseppe, David Vitali. 2019-12-06. Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field. https://doi.org/10.1103/physreva.101.013802

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