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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
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 ϱ ̂ A B , we report on stationary evolution of three measures of correlations defined via the Rényi-2 entropy, i.e. quantum mutual information (QMI) ℐ R , 2 , the Gaussian–Rényi-2 entanglement (GR2E) ℰ R , 2 and Gaussian quantum steering (GQS) 𝒢 . We evaluate analytical expression of the covariance matrix fully describing the state ϱ ̂ A B . 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) ℰ R , 2 , which in turn is found always upper bounded by half of the QMI ℐ R , 2 . This therefore satisfies the hierarchical relation 1 2 ℐ R , 2 ≥ ℰ R , 2 ≥ 𝒢 established in [L. Lami, C. Hirche, G. Adesso and A. Winter, Phys. Rev. Lett. 117 (2016) 220502]. Importantly, we find that both GR2E ℰ R , 2 and GQS 𝒢 are strongly affected by the thermal effects. Remarkably, when the GR2E ℰ R , 2 thoroughly vanishes, the GMI ℐ 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ϱ ̂ 一种 乙 ,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)ℐ R , 2 , Gaussian-Rényi-2 纠缠 (GR2E)ℰ 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ϱ ̂ 一种 乙 . 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ℰ R , 2 , 反过来又总是以 QMI 的一半为上限ℐ R , 2 . 因此,这满足层次关系1 2 ℐ R , 2 ≥ ℰ R , 2 ≥ 𝒢 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 GR2Eℰ R , 2 和 GQS𝒢 受热效应的影响很大。值得注意的是,当 GR2Eℰ R , 2 彻底消失,GMIℐ R , 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
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