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Chin. Phys. B, 2023, Vol. 32(4): 044210    DOI: 10.1088/1674-1056/ac7bfc

Effective dynamics and quantum state engineering by periodic kicks

Zhi-Cheng Shi(施志成)1,2, Zhen Chen(陈阵)1,2, Jian-Hui Wang(王建辉)1,2, Yan Xia(夏岩)1,2,†, and X X Yi(衣学喜)3,‡
1 Fujian Key Laboratory of Quantum Information and Quantum Optics(Fuzhou University), Fuzhou 350108, China;
2 Department of Physics, Fuzhou University, Fuzhou 350108, China;
3 Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China
Abstract  We study the kick dynamics of periodically driven quantum systems, and provide a time-independent effective Hamiltonian with the analytical form to reasonably describe the effective dynamics in a long timescale. It is shown that the effective coupling strength can be much larger than the coupling strength of the original system in some parameter regions, which stems from the zero time duration of kicks. Furthermore, different regimes can be transformed from and to each other in the same three-level system by only modulating the period of periodic kicks. In particular, the population of excited states can be selectively suppressed in periodic kicks, benefiting from the large detuning regime of the original system. Finally, some applications and physical implementation of periodic kicks are demonstrated in quantum systems. These unique features would make periodic kicks become a powerful tool for quantum state engineering.
Keywords:  periodic driving      δ function      quantum state engineering  
Received:  28 April 2022      Revised:  20 June 2022      Accepted manuscript online:  27 June 2022
PACS:  42.50.-p (Quantum optics)  
  42.50.Dv (Quantum state engineering and measurements)  
  02.30.Yy (Control theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11805036, 12175033, and 12147206), the Natural Science Foundation of Fujian Province, China (Grant No. 2021J01575), the Natural Science Funds for Distinguished Young Scholar of Fujian Province, China (Grant No. 2020J06011), and the Project from Fuzhou University (Grant No. JG202001-2).
Corresponding Authors:  Yan Xia, X X Yi     E-mail:;

Cite this article: 

Zhi-Cheng Shi(施志成), Zhen Chen(陈阵), Jian-Hui Wang(王建辉), Yan Xia(夏岩), and X X Yi(衣学喜) Effective dynamics and quantum state engineering by periodic kicks 2023 Chin. Phys. B 32 044210

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