Nonadiabatic geometric phase in a doubly driven two-level system
Weixin Liu(刘伟新)1, Tao Wang(汪涛)2,3,†, and Weidong Li(李卫东)4
1 Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan 030006, China; 2 Department of Physics, and Center of Quantum Materials and Devices, Chongqing University, Chongqing 401331, China; 3 Chongqing Key Laboratory for Strongly Coupled Physics, Chongqing 401331, China; 4 Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology, Center for Advanced Material Diagnostic Technology, and College of Engineering Physics, Shenzhen Technology University, Shenzhen 518118, China
Abstract We study theoretically the nonadiabatic geometric phase of a doubly driven two-level system with an additional relative phase between the two driving modes introduced in. It is shown that the time evolution of the system strongly depends on this relative phase. The condition for the system returning to its initial state after a single period is given by the means of the Landau-Zener-Stückelberg-Majorana destructive interference. The nonadiabatic geometric phase accompanying a cyclic evolution is shown to be related to the Stokes phase as well as this relative phase. By controlling the relative phase, the geometric phase can characterize two distinct phases in the adiabatic limit.
(Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)
Fund: Project supported by the Special Foundation for theoretical physics Research Program of China (Grant No. 11647165) and the China Postdoctoral Science Foundation Funded Project (Project No. 2020M673118). W.-D.L. acknowledges the funding from the National Natural Science Foundation of China (Grant No. 11874247), the National Key Research and Development Program of China (Grant No. 2017YFA0304500), the Program of State Key Laboratory of Quantum Optics and Quantum Optics Devices, China (Grant No. KF201703), and the support from Guangdong Provincial Key Laboratory (Grant No. 2019B121203002).
Corresponding Authors:
Tao Wang
E-mail: tauwaang@cqu.edu.cn
Cite this article:
Weixin Liu(刘伟新), Tao Wang(汪涛), and Weidong Li(李卫东) Nonadiabatic geometric phase in a doubly driven two-level system 2023 Chin. Phys. B 32 050311
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