山西大学学报(自然科学版)2024,Vol.47Issue(3):598-604,7.DOI:10.13451/j.sxu.ns.2023074
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
摘要
Abstract
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 A/ω0<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 A/ω0≥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Key words
periodically driven/two-level system/characteristic frequency/amplitude of probability分类
数理科学引用本文复制引用
张美娟,韩婴婴,张秀荣,李卫东..周期驱动二能级系统的动力学特征频率[J].山西大学学报(自然科学版),2024,47(3):598-604,7.基金项目
国家自然科学基金(11874247 ()
12205199) ()
国家重点研究开发计划(017YFA0304500) (017YFA0304500)
广东省重点实验室(2019B121203002) (2019B121203002)
中国量子光学与量子光学器件国家重点实验室计划(KF201703) (KF201703)