标题： 双模声子动力学和光学微腔中的激光 显示英文标题

标题： Dual-mode phonon dynamics and lasing in optomechanical cavities

摘要： 我们使用全非线性分岔理论作为强大的方法来彻底分类和预测光力学腔中的声子激光动力学。 我们通过两个独立的机械模式直接耦合到一个光学场时的非常相关且迄今模糊探索的双模声子激光动力学来举例说明其范围。 我们在固定且现实的腔几何结构中发现了大量的不同激光状态，包括单模和双模激光、不同机械模式的完美同步以及准周期时间晶体。 所有动力学状态都明确地与不同性质的分岔相关联，这些分岔可能表现出超临界和亚临界性质，这表征了当系统由时变激光源外部驱动时经常出现的滞后行为。 我们的研究结果可推广到任何其他光力学系统，为理解和控制光力学频率梳的形成和动力学开辟了前所未有的途径。 显示英文摘要

摘要： We use the full nonlinear bifurcation theory as a powerful methodology to thoroughly classify and predict the phonon lasing dynamics in optomechanical cavities. We exemplify its scope in the very relevant and so far vaguely explored dynamics of dual-mode phonon lasing when two independent mechanical modes are directly coupled to one optical field. We uncover a plethora of different lasing regimes in a fixed and realistic cavity geometry, including single- and dual-mode lasing, perfect synchronization of different mechanical modes, and quasiperiodic time crystals. All dynamical regimes are unambiguously associated with bifurcations of different natures, which may exhibit both super and sub-critical natures characterizing the often hysteretic behavior of the systems when they are externally driven by a time-varying laser source. Our results, generalizable to any other optomechanical system, open unprecedented pathways to understand and control the formation and dynamics of optomechanical frequency combs.