Quantum speed limit for the maximum coherent state under the squeezed environment

doi:10.1088/1674-1056/ac0daf

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 90308-090308.doi: 10.1088/1674-1056/ac0daf

Quantum speed limit for the maximum coherent state under the squeezed environment

Kang-Ying Du(杜康英)¹, Ya-Jie Ma(马雅洁)¹, Shao-Xiong Wu(武少雄)^1,†, and Chang-Shui Yu(于长水)^2,‡

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

收稿日期:2021-05-18 修回日期:2021-06-19 接受日期:2021-06-23 出版日期:2021-08-19 发布日期:2021-08-30
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. 11775040) and the Scientific and Technological Innovation Program of the Higher Education Institutions of Shanxi Province, China (Grant No. 2019L0527).

Quantum speed limit for the maximum coherent state under the squeezed environment

Kang-Ying Du(杜康英)¹, Ya-Jie Ma(马雅洁)¹, Shao-Xiong Wu(武少雄)^1,†, and Chang-Shui Yu(于长水)^2,‡

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

Received:2021-05-18 Revised:2021-06-19 Accepted:2021-06-23 Online:2021-08-19 Published:2021-08-30
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. 11775040) and the Scientific and Technological Innovation Program of the Higher Education Institutions of Shanxi Province, China (Grant No. 2019L0527).

摘要/Abstract

摘要： The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed parameter r increasing and indicates symmetry about the phase parameter value θ=π. Meanwhile, the quantum speed limit time can also be influenced by the coupling strength between the system and environment. However, the quantum speed limit time for the dephasing model is determined by the dephasing rate and the boundary of acceleration region that interacting with vacuum reservoir can be broken when the squeezed environment parameters are appropriately chosen.

关键词: quantum speed limit, squeezed reservoir, Jaynes-Cummings model, dephasing model

Abstract: The quantum speed limit time for quantum system under squeezed environment is studied. We consider two typical models, the damped Jaynes-Cummings model and the dephasing model. For the damped Jaynes-Cummings model under squeezed environment, we find that the quantum speed limit time becomes larger with the squeezed parameter r increasing and indicates symmetry about the phase parameter value θ=π. Meanwhile, the quantum speed limit time can also be influenced by the coupling strength between the system and environment. However, the quantum speed limit time for the dephasing model is determined by the dephasing rate and the boundary of acceleration region that interacting with vacuum reservoir can be broken when the squeezed environment parameters are appropriately chosen.

Key words: quantum speed limit, squeezed reservoir, Jaynes-Cummings model, dephasing model

中图分类号: (Quantum mechanics)

03.65.-w

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

Kang-Ying Du(杜康英), Ya-Jie Ma(马雅洁), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit for the maximum coherent state under the squeezed environment[J]. 中国物理B, 2021, 30(9): 90308-090308.

Kang-Ying Du(杜康英), Ya-Jie Ma(马雅洁), Shao-Xiong Wu(武少雄), and Chang-Shui Yu(于长水). Quantum speed limit for the maximum coherent state under the squeezed environment[J]. Chin. Phys. B, 2021, 30(9): 90308-090308.

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Quantum speed limit for the maximum coherent state under the squeezed environment

Quantum speed limit for the maximum coherent state under the squeezed environment

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