Nearly invariant boundary entanglement in optomechanical systems

doi:10.1088/1674-1056/ac16ca

中国物理B ›› 2021, Vol. 30 ›› Issue (11): 110311-110311.doi: 10.1088/1674-1056/ac16ca

Nearly invariant boundary entanglement in optomechanical systems

Shi-Wei Cui(崔世威)^1,2, Zhi-Jiao Deng(邓志姣)^1,2,†, Chun-Wang Wu(吴春旺)^1,2, and Qing-Xia Meng(孟庆霞)³

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 Northwest Institute of Nuclear Technology, Xi'an 710024, China

收稿日期:2021-06-19 修回日期:2021-07-17 接受日期:2021-07-22 出版日期:2021-10-13 发布日期:2021-10-22
通讯作者: Zhi-Jiao Deng E-mail:dengzhijiao926@hotmail.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11574398, 11904402, 12074433, and 12004430) and the National Basic Research Program of China (Grant No. 2016YFA0301903).

Nearly invariant boundary entanglement in optomechanical systems

Shi-Wei Cui(崔世威)^1,2, Zhi-Jiao Deng(邓志姣)^1,2,†, Chun-Wang Wu(吴春旺)^1,2, and Qing-Xia Meng(孟庆霞)³

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 Northwest Institute of Nuclear Technology, Xi'an 710024, China

Received:2021-06-19 Revised:2021-07-17 Accepted:2021-07-22 Online:2021-10-13 Published:2021-10-22
Contact: Zhi-Jiao Deng E-mail:dengzhijiao926@hotmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11574398, 11904402, 12074433, and 12004430) and the National Basic Research Program of China (Grant No. 2016YFA0301903).

摘要/Abstract

摘要： In order to understand our previous numerical finding that steady-state entanglement along the instability boundary remains unchanged in a three-mode optomechanical system [Phys. Rev. A 101 023838 (2020)], we investigate in detail the boundary entanglement in a simpler two-mode optomechanical system. Studies show that both the mechanism to generate entanglement and the parameter dependence of boundary entanglement are quite similar in these two models. Therefore, the two-mode system has captured the main features in the three-mode system. With the help of analytical calculations and discussing in a much bigger parameter interval, we find that the unchanging behavior previously discovered is actually an extremely slow changing behavior of the boundary entanglement function, and most importantly, this nearly invariant boundary entanglement is a general phenomenon via parametric down conversion process in the weak dissipation regime. This is by itself interesting as threshold quantum signatures in optomechanical phonon lasers, or may have potential value in related applications based on boundary quantum properties.

关键词: boundary entanglement, optomechanical system

Abstract: In order to understand our previous numerical finding that steady-state entanglement along the instability boundary remains unchanged in a three-mode optomechanical system [Phys. Rev. A 101 023838 (2020)], we investigate in detail the boundary entanglement in a simpler two-mode optomechanical system. Studies show that both the mechanism to generate entanglement and the parameter dependence of boundary entanglement are quite similar in these two models. Therefore, the two-mode system has captured the main features in the three-mode system. With the help of analytical calculations and discussing in a much bigger parameter interval, we find that the unchanging behavior previously discovered is actually an extremely slow changing behavior of the boundary entanglement function, and most importantly, this nearly invariant boundary entanglement is a general phenomenon via parametric down conversion process in the weak dissipation regime. This is by itself interesting as threshold quantum signatures in optomechanical phonon lasers, or may have potential value in related applications based on boundary quantum properties.

Key words: boundary entanglement, optomechanical system

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)

Shi-Wei Cui(崔世威), Zhi-Jiao Deng(邓志姣), Chun-Wang Wu(吴春旺), and Qing-Xia Meng(孟庆霞). Nearly invariant boundary entanglement in optomechanical systems[J]. 中国物理B, 2021, 30(11): 110311-110311.

Shi-Wei Cui(崔世威), Zhi-Jiao Deng(邓志姣), Chun-Wang Wu(吴春旺), and Qing-Xia Meng(孟庆霞). Nearly invariant boundary entanglement in optomechanical systems[J]. Chin. Phys. B, 2021, 30(11): 110311-110311.

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Nearly invariant boundary entanglement in optomechanical systems

Nearly invariant boundary entanglement in optomechanical systems

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