Quantum properties near the instability boundary in optomechanical system

doi:10.1088/1674-1056/ac40f7

中国物理B ›› 2022, Vol. 31 ›› Issue (3): 30308-030308.doi: 10.1088/1674-1056/ac40f7

Quantum properties near the instability boundary in optomechanical system

Han-Hao Fang(方晗昊)^1,2, Zhi-Jiao Deng(邓志姣)^1,2,†, Zhigang Zhu(朱志刚)³, and Yan-Li Zhou(周艳丽)^1,2

1 Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China;
2 Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China;
3 Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China

收稿日期:2021-09-18 修回日期:2021-12-04 接受日期:2021-12-08 出版日期:2022-02-22 发布日期:2022-02-17
通讯作者: Zhi-Jiao Deng E-mail:dengzhijiao926@hotmail.com
基金资助:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 11574398, 12174448, 12174447, 11904402, 12074433, 11871472, and 12004430).

Quantum properties near the instability boundary in optomechanical system

Han-Hao Fang(方晗昊)^1,2, Zhi-Jiao Deng(邓志姣)^1,2,†, Zhigang Zhu(朱志刚)³, and Yan-Li Zhou(周艳丽)^1,2

1 Department of Physics, College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, China;
2 Interdisciplinary Center for Quantum Information, National University of Defense Technology, Changsha 410073, China;
3 Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China

Received:2021-09-18 Revised:2021-12-04 Accepted:2021-12-08 Online:2022-02-22 Published:2022-02-17
Contact: Zhi-Jiao Deng E-mail:dengzhijiao926@hotmail.com
Supported by:
This work is supported by the National Natural Science Foundation of China (Grant Nos. 11574398, 12174448, 12174447, 11904402, 12074433, 11871472, and 12004430).

摘要/Abstract

摘要： The properties of the system near the instability boundary are very sensitive to external disturbances, which is important for amplifying some physical effects or improving the sensing accuracy. In this paper, the quantum properties near the instability boundary in a simple optomechanical system have been studied by numerical simulation. Calculations show that the transitional region connecting the Gaussian states and the ring states when crossing the boundary is sometimes different from the region centered on the boundary line, but it is more essential. The change of the mechanical Wigner function in the transitional region directly reflects its bifurcation behavior in classical dynamics. Besides, quantum properties, such as mechanical second-order coherence function and optomechanical entanglement, can be used to judge the corresponding bifurcation types and estimate the parameter width and position of the transitional region. The non-Gaussian transitional states exhibit strong entanglement robustness, and the transitional region as a boundary ribbon can be expected to replace the original classical instability boundary line in future applications.

关键词: optomechanical system, instability boundary, transitional region, quantum properties

Abstract: The properties of the system near the instability boundary are very sensitive to external disturbances, which is important for amplifying some physical effects or improving the sensing accuracy. In this paper, the quantum properties near the instability boundary in a simple optomechanical system have been studied by numerical simulation. Calculations show that the transitional region connecting the Gaussian states and the ring states when crossing the boundary is sometimes different from the region centered on the boundary line, but it is more essential. The change of the mechanical Wigner function in the transitional region directly reflects its bifurcation behavior in classical dynamics. Besides, quantum properties, such as mechanical second-order coherence function and optomechanical entanglement, can be used to judge the corresponding bifurcation types and estimate the parameter width and position of the transitional region. The non-Gaussian transitional states exhibit strong entanglement robustness, and the transitional region as a boundary ribbon can be expected to replace the original classical instability boundary line in future applications.

Key words: optomechanical system, instability boundary, transitional region, quantum properties

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

42.65.Sf (Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics) 42.50.Wk (Mechanical effects of light on material media, microstructures and particles)

Han-Hao Fang(方晗昊), Zhi-Jiao Deng(邓志姣), Zhigang Zhu(朱志刚), and Yan-Li Zhou(周艳丽). Quantum properties near the instability boundary in optomechanical system[J]. 中国物理B, 2022, 31(3): 30308-030308.

Han-Hao Fang(方晗昊), Zhi-Jiao Deng(邓志姣), Zhigang Zhu(朱志刚), and Yan-Li Zhou(周艳丽). Quantum properties near the instability boundary in optomechanical system[J]. Chin. Phys. B, 2022, 31(3): 30308-030308.

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Quantum properties near the instability boundary in optomechanical system

Quantum properties near the instability boundary in optomechanical system

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