由机械诱导对称性破缺介导的横向光机械相互作用：哈密顿动力学
Transverse Optomechanical Interaction Mediated by Mechanically Induced Symmetry Breaking: Hamiltonian Dynamics
浏览论文内容
中文总结 AI 辅助
研究由机械诱导对称性破缺介导的横向光机械相互作用的哈密顿动力学，通过模式耦合实现光与机械运动能量交换的相干控制，在无外部驱动或耗散时也能产生丰富动力学及多种现象。
中文摘要 AI 辅助
在腔光力学中，光与运动的相互作用通常通过腔共振随机械位移的变化来引入。本文分析了一种具有不同形式光机械耦合的光机械系统的哈密顿动力学，其中机械运动动态耦合原本独立的光学模式。用施温格赝自旋算符的语言来说，色散耦合可解释为“纵向”，而模式耦合机制对应横向相互作用。与传统的色散/耗散耦合不同，模式耦合光机械相互作用即使在没有外部驱动或耗散的情况下也能产生丰富的哈密顿动力学。例如，在某些初始条件下，这种动力学由注入系统的总光子功率控制的哈密顿霍普夫分岔表征。低于分岔阈值且非线性足够大时，光振幅的机械调制会产生覆盖大于十个机械频率的频率区间的多个边带的宽频谱。高于阈值时，光学振荡频率取决于机械振幅，而机械自由度恢复到以其裸频率振荡。这项工作的范围限于纯哈密顿动力学的研究，以证明机械介导的模式耦合光机械相互作用提供了一种相干控制光与机械运动之间能量交换的替代方法。
英文摘要
In cavity optomechanics, the interaction between light and motion is usually introduced via the shift of cavity resonances in response to mechanical displacement. Here we present an analysis of Hamiltonian dynamics of an optomechanical system with a different form of optomechanical coupling, in which mechanical motion dynamically couples otherwise independent optical modes. In the language of Schwinger pseudospin operators, the dispersive coupling can be interpreted as "longitudinal" while the mode-coupling mechanism corresponds to a transverse interaction. The latter is well known in cavity and circuit QED but was given only scarce attention in cavity optomechanics. Unlike the traditional dispersive/dissipative coupling, the mode-coupling optomechanical interaction generates rich Hamiltonian dynamics even in the absence of external drive or dissipation. For instance, under certain initial conditions this dynamics is characterized by a Hamiltonian Hopf bifurcation controlled by the total photon power injected into the system. Below the bifurcation threshold and for large enough non-linearity, mechanical modulation of optical amplitudes generates a broad spectrum of multiple sidebands covering a frequency interval larger than ten mechanical frequencies. Above the threshold, the frequency of optical oscillations becomes dependent on the mechanical amplitude, while mechanical degrees of freedom return to oscillating at their bare frequency. The scope of this work is limited to the study of purely Hamiltonian dynamics to demonstrate that the mechanically mediated mode-coupling optomechanical interaction provides an alternative method of coherent control of energy exchange between light and mechanical motion.
