We study the dissipative dynamics and the formation of entangled states in a driven cascaded quantum network, where a cascaded double-cavity optomechanical system is coupled to a common unidirectional optical fiber. In terms of two coherent laser fields simultaneously driving the chiral coupling system, the entanglement can be effectively transferred from the light to two nanomechanical resonators (NMRs) through cavity modes based on the completely destructive interference of quantum noise. By adjusting the relative strength ratio of red- and blue-detuned pump lasers, it is found that the two NMRs can be driven into a mixed two-mode Gaussian entangled mechanical state rather than a non-Gaussian entangled dark state or a pure entangled dark state. If the frequency of the NMR is tuned to be much larger than the chiral coupled-cavity-chain damping rate, it is demonstrated that the chiral dissipative cascaded system can always realize one-way Einstein-Podolsky-Rosen (EPR) steering from one mechanical oscillator to the other, while the reverse one-way EPR steering is impossible to obtain, and the reason for achieving asymmetric Gaussian steering is analyzed. Furthermore, a simple one-way EPR steering criterion based on two-photon correlation can be achieved for an arbitrary bipartite Gaussian state under the standard form of EPR steering, and the effect of mechanical thermal noise on the steering is also discussed. Moreover, the present chiral system can be realized with currently available experimental technology; therefore, we hope that it can be very helpful for potential applications in quantum computation and quantum communication.

中文翻译：

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在驱动级联量子网络中手性耗散辅助生成纠缠和非对称高斯转向

我们研究了驱动级联量子网络中的耗散动力学和纠缠态的形成，其中级联双腔光机械系统耦合到常见的单向光纤。就同​​时驱动手征耦合系统的两个相干激光场而言，基于量子噪声的完全相消干涉，纠缠可以通过腔模式有效地从光转移到两个纳米机械谐振器（NMR）。通过调整红蓝失谐泵浦激光器的相对强度比，发现可以将两个核磁共振驱动到混合双模高斯纠缠机械态，而不是非高斯纠缠暗态或纯纠缠暗态。状态。如果将 NMR 的频率调谐到远大于手性耦合腔链阻尼率，则表明手性耗散级联系统始终可以实现单向爱因斯坦-波多尔斯基-罗森 (EPR) 转向。振荡器到另一个，而反向单向 EPR 转向是不可能获得的，并分析了实现非对称高斯转向的原因。此外，在 EPR 转向的标准形式下，可以针对任意二分高斯态实现基于双光子相关的简单单向 EPR 转向准则，并讨论了机械热噪声对转向的影响。此外，现有的手性体系可以通过现有的实验技术来实现；所以，