Nonadiabatic geometric phase in a doubly driven two-level system

doi:10.1088/1674-1056/ac89e3

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 50311-050311.doi: 10.1088/1674-1056/ac89e3

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

收稿日期:2022-05-28 修回日期:2022-08-06 接受日期:2022-08-16 出版日期:2023-04-21 发布日期:2023-04-21
通讯作者: Tao Wang E-mail:tauwaang@cqu.edu.cn
基金资助:
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).

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

Received:2022-05-28 Revised:2022-08-06 Accepted:2022-08-16 Online:2023-04-21 Published:2023-04-21
Contact: Tao Wang E-mail:tauwaang@cqu.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: two-level system, geometric phase, Landau-Zener-Stückelberg-Majorana interference

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.

Key words: two-level system, geometric phase, Landau-Zener-Stückelberg-Majorana interference

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

03.67.Lx (Quantum computation architectures and implementations) 42.50.Gy (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

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[J]. 中国物理B, 2023, 32(5): 50311-050311.

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[J]. Chin. Phys. B, 2023, 32(5): 50311-050311.

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Nonadiabatic geometric phase in a doubly driven two-level system

Nonadiabatic geometric phase in a doubly driven two-level system

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