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Gaussian–Rényi-2 correlations hierarchy in optomechanics
International Journal of Quantum Information ( IF 1.2 ) Pub Date : 2021-03-20 , DOI: 10.1142/s0219749921500040
B. Maroufi 1 , J. El Qars 2, 3 , M. Daoud 4
Affiliation  

In a two-mode Gaussian state ϱ̂AB, we report on stationary evolution of three measures of correlations defined via the Rényi-2 entropy, i.e. quantum mutual information (QMI) R,2, the Gaussian–Rényi-2 entanglement (GR2E) R,2 and Gaussian quantum steering (GQS) 𝒢. We evaluate analytical expression of the covariance matrix fully describing the state ϱ̂AB. Further, we study, under influences of parameters characterizing the state at hand and its environment, the behavior of the three considered measures. We find that quantum steering 𝒢 is always upper bounded by (GR2E) R,2, which in turn is found always upper bounded by half of the QMI R,2. This therefore satisfies the hierarchical relation 12R,2R,2𝒢 established in [L. Lami, C. Hirche, G. Adesso and A. Winter, Phys. Rev. Lett. 117 (2016) 220502]. Importantly, we find that both GR2E R,2 and GQS 𝒢 are strongly affected by the thermal effects. Remarkably, when the GR2E R,2 thoroughly vanishes, the GMI R,2 exhibits a freezing behavior, and seems to be captured within a wide range of temperature.

中文翻译:

光力学中的 Gaussian-Rényi-2 相关层次结构

处于双模高斯状态ϱ̂一种,我们报告了通过 Rényi-2 熵定义的三种相关性度量的平稳演化,即量子互信息 (QMI)R,2, Gaussian-Rényi-2 纠缠 (GR2E)R,2和高斯量子转向 (GQS)𝒢. 我们评估完全描述状态的协方差矩阵的解析表达式ϱ̂一种. 此外,我们在表征当前状态及其环境的参数的影响下,研究了三种考虑措施的行为。我们发现量子转向𝒢总是以 (GR2E) 为上限R,2, 反过来又总是以 QMI 的一半为上限R,2. 因此,这满足层次关系12R,2R,2𝒢成立于 [L. Lami、C. Hirche、G. Adesso 和 A. Winter,物理。牧师莱特。 117(2016) 220502]。重要的是,我们发现 GR2ER,2和 GQS𝒢受热效应的影响很大。值得注意的是,当 GR2ER,2彻底消失,GMIR,2展示了一个冻结行为,并且似乎在很宽的温度范围内被捕获。
更新日期:2021-03-20
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