双光腔光机械系统的动力学相变和选择性能量交换  

Dynamical phase transition and selective energy exchange in dual-cavity optochanical systems

作　　者：刘妮[1] 张小芳[1] 梁九卿[1] Liu Ni;Zhang Xiao-Fang;Liang Jiu-Qing(State Key Laboratory of Quantum Optics and Quantum Optics Devices,Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学理论物理研究所,量子光学与光量子器件国家重点实验室,太原030006

出　　处：《物理学报》2021年第14期17-29,共13页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11772177,12047571);山西省高等学校科技创新项目(批准号:2019L0069)资助的课题.

摘　　要：本文探究了单腔和双腔光机械装置的动力学相变和选择性能量交换.发现系统会经历类似于Dicke-Hepp-Lieb超辐射型的动力学相变,且两光场间的正交动量耦合出现一个新的动力学临界点.两光场间的正交动量耦合等价于单(双)模光机械系统的外场驱动.通过耦合参数的调控,系统可以实现任意两模间的选择性能量交换,且临界耦合点与选择性能量交换对应.模压缩是能量转换的标志,且任何两模的正交压缩由特定玻色模间的能量交换决定.In recent years,the cavity quantum photomechanics has been developed rapidly,and played a very important role in quantum information processing,quantum basic principle verification,and high-precision measurement.The kinds of quantum mechanical behaviors have also been explored and discovered in the study of cavity mechanics.By placing the Kerr medium in the system,quantum nonlinearity is introduced into the optomechanical system.Quantum phase transition is a relatively important part in the research of condensed matter physics.Since Dicke quantum phase transition was successfully observed experimentally,the problem of quantum phase transition in the optical cavity has attracted more attention.The spin-coherent-state variation method and the Holstein-Primakoff transformation are used to theoretically calculate the ground state energy functional,and the rich structure of the macroscopic multi-particle quantum state is given by adjusting the parameters.The quantum phase transition evolution equation describes the relationship between each phase and the time of generating a new phase when reaching the critical phase transition point.At the same time,the mode squeezing of multi-mode hybrid optomechanical system has also became one of the basic problems of quantum mechanical behavior in cavity quantum dynamics.In this article,we explore the quantum dynamics of optomechanical devices including single-cavity and dual-cavities.We find that the system will undergo a dynamic phase transition,which is similar to the Dicke-Hepp-Lieb superradiant type phase transition,and a new dynamic critical point appears in the coupling between the momentum quadratures of the two optical fields.By manipulating the coupling parameters,we can achieve selective energy exchange between any two modes and the critical coupling point corresponds to selective energy exchange.Mode squeezing,which is easy to measure by applying the quantum uncertainty relationship,is also revealed and consistent with selective energy exchange.The study of coordinate

关 键 词：双光腔光机械系统 相变 选择性能量交换 模压缩 

分 类 号：O431.2[机械工程—光学工程]