二次耦合对腔光振子的自治振荡调制

摘要

The dynamical control of self-oscillation on optomechanical resonator assisted with quadratic coupling is investigated.The main model is based on a cross-coupling Hamiltonian of the optical cavity field with a nanomechanical resonator.By a theoretical analysis of a quadratic coupling, it is found that the quadratic coupling can not only facilitate the self-sustained oscillation of the system but also lead to new features for the nonlinear dynamical control.With the periodic controlling field on an adiabatic resonator, the quadratic coupling leads to a strange resonant chaotic behavior.For a full equation of the coupling system, a negative quadratic coupling can effectively reduce the energy resonance frequency, strengthen the energy resonant peaks.Under conditions of the same parameters, the negative quadratic coupling can expand the phase area of the limit cycles in the resonant case, which indicates an effective energy control of the optomechanical resonator induced by the quadratic coupling.%基于纳米机械谐振器的光腔交叉耦合模型,研究了光力二次耦合对光振子自治振荡的动态控制.针对之前工作仅局限于线性耦合过程,引入大位移情形下不可忽略二次耦合,研究了其对微振子动力学的影响.理论分析发现二次耦合的腔光力学系统具有参数振子效应,不但使振子更容易达到自治振荡,而且会诱发许多新的非线性动力学行为.在周期调制的光场驱动下,对绝热近似振子而言,二次耦合调控系统出现共振混沌行为;对全方程耦合系统而言,负的二次耦合能有效地降低能量共振频率,加强能量共振峰,在相同的参数条件下负的二次耦合使共振条件下极限环的面积扩大,预示着二次耦合可以有效控制振子能量的共振吸收.