Dynamic Characteristic Frequencies of Periodically Driven Two-Level Systems
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.
periodically driventwo-level systemcharacteristic frequencyamplitude of probability