三腔复合光力系统的透射谱和四波混频现象研究  

Transmission Spectrum and Four-Wave Mixing in Three-Cavity Hybrid Optomechanical System

作　　者：廖庆洪[1] 邱海燕 喻富 肖敏 Liao Qinghong;Qiu Haiyan;Yu Fu;Xiao Min(Department of Electronic Information Engineering,Nanchang University,Nanchang 330031,Jiangxi,China)

机构地区：[1]南昌大学电子信息工程系,江西南昌330031

出　　处：《中国激光》2023年第14期226-233,共8页Chinese Journal of Lasers

基　　金：国家自然科学基金(62061028);上海市特殊人工微结构材料与技术重点实验室开放课题基金(ammt2021A-4);江西省杰出青年人才资助计划(20162BCB23009)。

摘　　要：研究了三腔复合光力系统中探测场的透射系数和四波混频现象。结果表明:改变两个光学腔之间的耦合强度,可以使光力诱导透明现象发生显著变化。此外,在共振情况下,通过控制两个光学腔之间的耦合强度并改变机械振子的频率,可以对四波混频谱进行调制。通过双场探测手段,利用四波混频谱中的尖峰位置,实现了机械振子振动频率的精确测量。Objective The rapid development of cavity optomechanical systems has attracted extensive attention,and these systems are widely used in quantum information and precision measurement.In recent years,three-cavity optomechanical systems have attracted considerable attention.Compared with the single-mode optomechanical system,the multiple-mode system provides significantly higher flexible controllability.Furthermore,optomechanically induced transparency and four-wave mixing have been research hotspots in different optomechanical systems.For example,the four-wave mixing in a hybrid optomechanical system is theoretically investigated,which has important implications for the nonlinear optical properties.It is of great significance for theoretically exploring the transmission spectrum and four-wave mixing in a three-cavity optomechanical system.Methods The hybrid optomechanical system consists of a microwave cavity a with resonance frequencyω_(a) and an optical cavity c_(1with) resonance frequency■,which are coupled to a common mechanical resonator b,while an optical cavity c_(2) with resonance frequencyω_(c2) is coupled to the optical cavity c_1.A strong pump laser beam E_(e) with frequencyΩ_(e) is applied to the microwave cavity a.A weak probe laser beam E_(p) with frequencyΩ_(p) and a strong pump laser beam E_(o) with frequencyΩ_(o) are applied to the optical cavity c_1simultaneously.In the rotating frame of the pump fields with frequencyΩ_(e) andΩ_o,the whole Hamiltonian of the system is obtained.According to the Heisenberg equation and making the ansatz,we finally obtain the transmission spectrum and the four-wave mixing spectrum intensity.Then,we investigate how the evolutions of the transmission spectrum and the four-wave mixing spectrum are affected by the coupling strength and the frequency of the mechanical resonator.Results and Discussions When the optical cavity c_(2) is absent in the hybrid optomechanical system (J=0),the transmission spectrum of the probe field shows a Lorentzian line shape.However

关 键 词：量子光学 复合光力系统 透射谱 四波混频 光力诱导透明 

分 类 号：O436[机械工程—光学工程]