论文标题
具有不对称的非对称机械谐振器的光力学系统中的Kerr样非线性
Kerr-like nonlinearities in an optomechanical system with an asymmetric anharmonic mechanical resonator
论文作者
论文摘要
在基于Bogoliubov平均方法的非二摄动理论的框架中，研究了具有不对称的非对称抗对称性机械谐振器的光力学系统。在哈密顿量中出现了光子和振动量子的跨卡尔相互作用和类似kerr的自我相互作用。这些相互作用是由机械谐振器的振荡和机械谐振器相互作用的振荡的立方和四分之一非线性引起的。我们证明了振动量子数量的可行行为，发现此行为是由跨凯尔相互作用控制的。结果表明，在没有驾驶和耗散的情况下，在某些时候在系统的纠缠模式的某些时候，在腔（或机械谐振器）的腔体（或机械谐振器）脱落的叠加状态。获得的结果为控制光学机械系统的控制提供了新的可能性，并具有不对称的机械振荡。
In the framework of the nonsecular perturbation theory based on the Bogoliubov averaging method, an optomechanical system with an asymmetric anharmonic mechanical resonator is studied. The cross-Kerr interaction and the Kerr-like self-interaction of photons and vibration quanta arise in the Hamiltonian. These interactions are induced by both cubic and quartic nonlinearities of oscillations of the mechanical resonator and the cavity-resonator interaction that is linear in mechanical displacements. We demonstrate a bistable behavior of the number of vibration quanta and find that this behavior is controlled by the cross-Kerr interaction. It is shown that, without driving and dissipation, the constructed superposition Yurke-Stoler-like states of the cavity (or the mechanical resonator) disentangle at certain times the entangled modes of the system. The obtained results offer new possibilities for control of optomechanical systems with asymmetric mechanical oscillations.
