Floquet dynamics of the Rabi model beyond the counter-rotating hybridized rotating-wave method

作     者：Yingying Han Shuanghao Zhang Meijuan Zhang Q. Guan Wenxian Zhang Weidong Li 

作者机构：Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology Center for Intense Laser Application Technology and College of Engineering Physics Shenzhen Technology University Shenzhen 518118 China Institute of Theoretical Physics Shanxi University Taiyuan 030006 China Department of Physics and Astronomy Washington State University Pullman Washington 99164-2814 USA Key Laboratory of Artificial Micro- and Nano-structures of Ministry of Education and School of Physics and Technology Wuhan University Wuhan Hubei 430072 China 

出 版 物：《Physical Review A》 (Phys. Rev. A)

年 卷 期：2024年第109卷第5期

页      面：053704-053704页

核心收录：

基　　金：National Natural Science Foundation of China, NSFC, (12205199, 12274331) National Natural Science Foundation of China, NSFC Natural Science Foundation of Top Talent of SZTU, (GDRC202202, GDRC202312) 

主　　题：Atomic, optical & lattice clocks Light-matter interaction Quantum optics 

摘      要：Monochromatically driven two-level systems (i.e., Rabi models) are ubiquitous in various fields of physics. Though they have been exactly solved, the physical pictures in these exact solutions are not clear. Recently, approximate analytical solutions with neat physics have been obtained by using the counter-rotating hybridized rotating wave (CHRW) method, which has been proven to be effective over a wider range of parameters than the previous analytical solutions. However, the CHRW depends on a parameter ξ, which has no solution in some regimes. Here, we combine the double-unitary-transformation approach with the generalized Van Vleck nearly degenerate perturbation theory, and present approximate analytical results with clear physics for almost all parameter regimes, which agree well with the numerical solutions and the previous experimental results. Moreover, the dynamic frequencies of the Rabi model are regular, and the frequency with the highest Fourier amplitude changes from the Rabi frequency to 2nω with driving frequency ω and integer n, as the driving intensity increases from weak to deep-strong. In addition, we further explore the Floquet dynamics of the dissipative open Rabi model. Remarkably, the dissipations are tunable in the rotating frame, and the approximate analytical results obtained by our method are in good agreement with the numerical results in the strong driving regime. These results pave the way to quantum control using strong and deep-strong driving with applications in quantum technologies.