Quantum speed limit of a single atom in a squeezed optical cavity mode

doi:10.1088/1674-1056/acbd2b

中国物理B ›› 2023, Vol. 32 ›› Issue (4): 40308-040308.doi: 10.1088/1674-1056/acbd2b

Quantum speed limit of a single atom in a squeezed optical cavity mode

Ya-Jie Ma(马雅洁)¹, Xue-Chen Gao(高雪晨)¹, Shao-Xiong Wu(武少雄)^1,†, and Chang-Shui Yu(于长水)^2,‡

1 School of Semiconduct and Physics, North University of China, Taiyuan 030051, China;
2 School of Physics, Dalian University of Technology, Dalian 116024, China

收稿日期:2022-10-23 修回日期:2023-02-17 接受日期:2023-02-18 出版日期:2023-03-10 发布日期:2023-04-10
通讯作者: Shao-Xiong Wu, Chang-Shui Yu E-mail:sxwu@nuc.edu.cn;ycs@dlut.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12175029) and the Fundamental Research Program of Shanxi Province, China (Grant No. 20210302123063).

Quantum speed limit of a single atom in a squeezed optical cavity mode

Ya-Jie Ma(马雅洁)¹, Xue-Chen Gao(高雪晨)¹, Shao-Xiong Wu(武少雄)^1,†, and Chang-Shui Yu(于长水)^2,‡

1 School of Semiconduct and Physics, North University of China, Taiyuan 030051, China;
2 School of Physics, Dalian University of Technology, Dalian 116024, China

Received:2022-10-23 Revised:2023-02-17 Accepted:2023-02-18 Online:2023-03-10 Published:2023-04-10
Contact: Shao-Xiong Wu, Chang-Shui Yu E-mail:sxwu@nuc.edu.cn;ycs@dlut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12175029) and the Fundamental Research Program of Shanxi Province, China (Grant No. 20210302123063).

摘要/Abstract

摘要： We theoretically study the quantum speed limit of a single atom trapped in a Fabry-Perot microresonator. The cavity mode will be squeezed when a driving laser is applied to the second-order nonlinear medium, and the effective Hamiltonian can be obtained under the Bogoliubov squeezing transformation. The analytical expression of the evolved atom state can be obtained by using the non-Hermitian Schrödinger equation for the initial excited state, and the quantum speed limit time coincides very well for both the analytical expression and the master equation method. From the perspective of quantum speed limit, it is more conducive to accelerate the evolution of the quantum state for the large detuning, strong driving, and coupling strength. For the case of the initial superposition state, the form of the initial state has more influence on the evolution speed. The quantum speed limit time is not only dependent on the system parameters but also determined by the initial state.

关键词: quantum speed limit, squeezing mode, non-Hermitian Schrödinger equation, master equation

Abstract: We theoretically study the quantum speed limit of a single atom trapped in a Fabry-Perot microresonator. The cavity mode will be squeezed when a driving laser is applied to the second-order nonlinear medium, and the effective Hamiltonian can be obtained under the Bogoliubov squeezing transformation. The analytical expression of the evolved atom state can be obtained by using the non-Hermitian Schrödinger equation for the initial excited state, and the quantum speed limit time coincides very well for both the analytical expression and the master equation method. From the perspective of quantum speed limit, it is more conducive to accelerate the evolution of the quantum state for the large detuning, strong driving, and coupling strength. For the case of the initial superposition state, the form of the initial state has more influence on the evolution speed. The quantum speed limit time is not only dependent on the system parameters but also determined by the initial state.

Key words: quantum speed limit, squeezing mode, non-Hermitian Schrödinger equation, master equation

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.67.-a (Quantum information)

Ya-Jie Ma(马雅洁), Xue-Chen Gao(高雪晨), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit of a single atom in a squeezed optical cavity mode[J]. 中国物理B, 2023, 32(4): 40308-040308.

Ya-Jie Ma(马雅洁), Xue-Chen Gao(高雪晨), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit of a single atom in a squeezed optical cavity mode[J]. Chin. Phys. B, 2023, 32(4): 40308-040308.

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Quantum speed limit of a single atom in a squeezed optical cavity mode

Quantum speed limit of a single atom in a squeezed optical cavity mode

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