相位阻尼噪声环境中复合腔光力学系统两原子间局域量子不确定性的调控
The Controlling of Local Quantum Uncertainty of Two Atoms in the Composite Cavity Optomechanical Systems and Phase-Damping Environments
DOI: 10.12677/MP.2022.123004, PDF,    国家自然科学基金支持
作者: 闻佳欣：吉首大学物理与机电工程学院，湖南 吉首；周清平*：吉首大学物理与机电工程学院，湖南 吉首;吉首大学软件学院，湖南 张家界
关键词: 局域量子不确定性；复合腔光力系统；相位阻尼；量子关联调控；Local Quantum Uncertainty； Composite Cavity Optomechanical System； Phase-Damping； The Controlling of Quantum Correlation
摘要: 局域量子不确定性(LQU)是表征量子关联的一种重要度量方式，在量子信息处理中发挥了不可或缺的作用。本文研究了在复合腔光力学系统中相位阻尼参数对LQU的影响，分析了系统中各项参数对两原子间LQU的调控作用。结果表明：随着相位阻尼参数增大，两原子间LQU的衰减速率逐渐增加，但其衰减速率要低于共生纠缠度的衰减速率，表明LQU相比于共生纠缠度更适合表征复合腔光力学系统的量子关联。通过增大原子–腔场(含振动镜)耦合系数和振动镜–腔场耦合系数，以及同时增大原子–腔场(J-C模型)耦合系数和原子–腔场(含振动镜)耦合系数，均可增强复合腔光力学系统中两原子间的量子关联。此外，调节原子–腔场(含振动镜)耦合系数、振动镜–腔场耦合系数可以对LQU演化的周期进行调控。
Abstract: Local quantum uncertainty (LQU) is one of the important measures for characterizing quantum correlations and it plays an integral role in quantum information processing. In this paper, we have studied the effect of dephasing parameters on LQU in the composite cavity optomechanical system and the controlling of various parameters in the system on LQU of two atoms. The results show that as the dephasing parameter increases, the LQU of two atoms decays with a greater decay rate. But, this decay rate is much slower than that of the concurrence, it indicates that LQU is more suitable for characterizing quantum correlations in composite cavity optomechanical systems than concurrence. By increasing the atom-cavityfield (with vibrating mirror) coupling and the vibrating mirror-cavityfield coupling, as well as both increasing the atom-cavityfield (J-C model) coupling and the atom-cavityfield (with vibrating mirror) coupling, the quantum correlation of two atoms can achieve the enhancement in the composite cavity optomechanical system. Furthermore, adjusting the atom-cavityfield (with vibrating mirror) coupling and the mirror-cavityfield coupling can effectively control the period of LQU evolution with time.
文章引用：闻佳欣, 周清平. 相位阻尼噪声环境中复合腔光力学系统两原子间局域量子不确定性的调控[J]. 现代物理, 2022, 12(3): 39-49. https://doi.org/10.12677/MP.2022.123004

参考文献

[1] Bellac, M.L. (2006) A Short Introduction to Quantum Information and Quantum Computation. Cambridge University Press, Cambridge.
[2] Girolami, D., Tufarelli, T. and Adesso, G. (2013) Characterizing Nonclassical Correlations via Local Quantum Uncertainty. Physical Review Letters, 110, Article ID: 240402. [Google Scholar] [CrossRef] 
[3] Slaoui, A., Bakmou, L., Daoud, M. and Laamara, R.A. (2019) A Comparative Study of Local Quantum Fisher Information and Local Quantum Uncertainty in Heisenberg XY Model. Physics Letters A, 383, 2241-2247. [Google Scholar] [CrossRef] 
[4] Ali, M. (2020) Local Quantum Uncertainty for Multipartite Quantum Systems. The European Physical Journal D, 74, 1-6. [Google Scholar] [CrossRef] 
[5] 曹蕾. 多体系统中基于局域量子不确定性的量子关联特性的研究[D]: [硕士学位论文]. 南京: 南京邮电大学, 2016.
[6] Coulamy, I.B., Warnes, J.H., Sarandy, M.S. and Saguia, A. (2016) Scaling of the Local Quantum Uncer-tainty at Quantum Phase Transitions. Physics Letters A, 380, 1724-1728. [Google Scholar] [CrossRef] 
[7] Carrijo, T.M., Avelar, A.T. and Celeri, L.C. (2015) Quantum Uncertainty in Critical Systems with Three Spins Interaction. Journal of Physics B Atomic Molecular and Optical Physics: An Institute of Physics Journal, 48, Article ID: 125501. [Google Scholar] [CrossRef] 
[8] He, Z., Yao, C., Wang, Q. and Zou, J. (2014) Measuring Non-Markovianity Based on Local Quantum Uncertainty. Physical Review A, 90, Article ID: 042101. [Google Scholar] [CrossRef] 
[9] 王铁. 腔光力学系统中光学响应及量子纠缠研究[D]: [硕士学位论文]. 延吉: 延边大学, 2019.
[10] Liao, Q.H., Yuan, L., Fu, Y.C. and Zhou, N.R. (2019) Properties of Entanglement between the JC Model and Atom-Cavity-Optomechanical System. International Journal of Theoretical Physics, 58, 2641-2653. [Google Scholar] [CrossRef] 
[11] Wigner, E.P. and Yanase, M.M. (1963) Information Contents of Distributions. Proceedings of the National Academy of Sciences of the United States of America, 49, 910. [Google Scholar] [CrossRef] [PubMed]