Abstract

In this work, we analyze the enhancement of the transfer of the quantum correlations from squeezed light to movable mirrors in an optomechanical system. This transfer is produced using a degenerate parametric amplifier placed inside each of the two cavities of the system. These cavities are coupled via photon-hopping process. The double-cavity optomechanical system is pumped by squeezed light and driven by coherent laser sources. The two cavities are spatially coupled via a broadband squeezed light and driven at red-detuned sidebands. In our analysis, we shall work in the framework of the Markovian approximation. In each cavity, the optical mode is coupled to mechanical mode via radiation pressure. We discuss the quantum correlations (steering, entanglement and discord) of the two mechanical oscillators. We consider Gaussian quantum steering to measure the steerability between the two mechanical oscillators and the logarithmic negativity to measure quantum entanglement. The quantum correlations are measured even beyond entanglement via Gaussian quantum discord. We show that the logarithmic negativity depends on the parameter amplifier gain, the cavity–cavity coupling, the optomechanical cooperativity, the dissipation rate and the bath temperature of the mechanical oscillators. We found that the transfer of quantum correlations in the steady state can be enhanced via degenerate parametric amplifier for low dissipation rate and via strong coupling optomechanics. We show also that the quantum correlations are robust against thermal fluctuations. We discuss how this quantum discord is more robust than entanglement which is more robust than steering. By using recent experimental parameters, we show also that the proposed scheme can be implemented by current experimental technology.

Graphic Abstract

中文翻译：

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光力学中量子相关性的测量和控制

摘要

在这项工作中，我们分析了光机械系统中从压缩光到可移动反射镜的量子相关性转移的增强。这种传输是使用放置在系统两个腔体中的每一个腔体内的简并参量放大器产生的。这些腔通过光子跳跃过程耦合。双腔光机系统由压缩光泵浦并由相干激光源驱动。这两个腔通过宽带压缩光在空间上耦合，并以红失谐边带驱动。在我们的分析中，我们将在马尔可夫近似的框架内工作。在每个腔中，光学模式通过辐射压力耦合到机械模式。我们讨论了两个机械振荡器的量子相关性（转向、纠缠和不和谐）。我们考虑使用高斯量子转向来测量两个机械振荡器之间的可操纵性，并考虑使用对数负性来测量量子纠缠。通过高斯量子不协调，甚至可以在纠缠之外测量量子相关性。我们表明对数负性取决于参数放大器增益、腔-腔耦合、光机械协同性、耗散率和机械振荡器的浴温。我们发现稳态中量子关联的传递可以通过退化参量放大器的低耗散率和强耦合光力学来增强。我们还表明，量子相关性对热波动具有鲁棒性。我们讨论了这种量子不和谐如何比纠缠更稳健，纠缠比转向更稳健。

图形摘要