两个纳米机械谐振器耦合到同一腔场同步的噪声鲁棒性
Noise robustness of synchronization of two nanomechanical resonators coupled to the same cavity field
摘要：
本文研究了由两个谐振腔通过辐射压力耦合到同一驱动光腔模而形成的室温光机械系统的同步。利用随机Langevin方程和有效慢变振幅方程，我们探讨了系统的长时间动力学。我们发现，热噪声可以诱导显着的非高斯动力学特性，包括多稳定同步极限环和相位扩散的共存。该光机系统中的同步相对于热噪声是非常鲁棒的：事实上，即使每个振荡器相位在整个极限环上逐渐扩散，它们的相位差也被锁定，并且这种相位相关性在存在热噪声的情况下仍然很强。
英文摘要：
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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