周期驱动二能级系统的动力学特征频率  

Dynamic Characteristic Frequencies of Periodically Driven Two-Level Systems

作　　者：张美娟 韩婴婴 张秀荣 李卫东 ZHANG Meijuan;HAN Yingying;ZHANG Xiurong;LI Weidong(Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China;Shenzhen Key Laboratory of Ultra-intense Laser and Advanced Material Technology,Center for Advanced Material Diagnostic,Technology,and College of Engineering Physics,Shenzhen Technology University,Shenzhen 518118,China;School of Physics and Electronic Engineering,Shanxi University,Taiyuan 030006,China;Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen 518055,China)

机构地区：[1]山西大学理论物理研究所,山西太原030006 [2]深圳技术大学工程物理学院,先进材料诊断技术中心,超强激光与先进材料技术深圳重点实验室,广东深圳518118 [3]山西大学物理电子工程学院,山西太原030006 [4]南方科技大学广东省量子科学技术与工程重点实验室,广东深圳518055

出　　处：《山西大学学报（自然科学版）》2024年第3期598-604,共7页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11874247,12205199);国家重点研究开发计划(017YFA0304500);广东省重点实验室(2019B121203002);中国量子光学与量子光学器件国家重点实验室计划(KF201703)

摘　　要：驱动强度对研究周期驱动系统的动力学特性有重要影响。本文主要采用Floquet理论和龙格-库塔数值方法研究了周期驱动二能级系统的动力学过程,分析了动力学过程的特征频率,并与常用的解析方法进行了对比。研究结果表明,当驱动强度A/ω_(0)<2.57时,单值的低频振荡项是整个动力学过程的主要成分,此时忽略了高频振荡项的旋转波近似是成立的;随着驱动强度的增加,当A/ω_(0)≥2.57时,高频振荡项的占比越来越大,并逐渐成为整个动力学过程的主要频率成分。我们的研究也表明了反旋转杂化近似解析方法仅在一定驱动强度范围内成立,且当驱动强度较大时,可以通过多光子过程进行频率拓展。The driving strength has an important influence on studying the dynamics characteristics of periodically driven systems.In this paper,the Floquet theory and the Runge-Kutta numerical method are used to study the dynamic processes of periodically driven two-level systems,and the characteristic frequencies of the dynamic processes are analyzed,and compared with the commonly used analytical methods.The results show that when the driving strength Aω_(0)<2.57,the single-valued low-frequency oscillation term is the main component of the overall dynamical process.At this point,the rotational wave approximation that ignores the high-frequen-cy oscillation terms is valid;With the increase of driving strength,when Aω_(0)≥2.57,the proportion of high-frequency oscillation terms becomes larger,and gradually becomes the main frequency component of the whole dynamic process.Our research also shows that the counterrotating hybridized rotating wave analytical method holds only for a certain range of driving strength,and when the driving strength is large,frequency expansion can be performed by multiphoton process.

关 键 词：周期驱动 二能级系统 特征频率 概率幅 

分 类 号：O436[机械工程—光学工程]