We theoretically investigate the optical response in a hybrid quantum optomechanical system consisting of two optically coupled micro-cavities in which a two-level system (qubit) is embedded on a movable membrane. The qubit can either be a defect which interacts with the mechanical oscillator via the linear Jaynes-Cummings interaction or a superconducting charge qubit coupled with the mechanical mode via nonlinear interaction. We find that coherent perfect transmission (CPT), coherent perfect synthesis (CPS) and optomechanically induced absorption (OMIA) can be generated by suitably adjusting the system parameters. We find that the qubit and its interaction with the mechanical oscillator emerges as a new handle to control these quantum optical properties. The presence of the qubit results in four points where CPT and CPS can be realized compared to the pure optomechanical case (i.e. in the absence of qubit) where only three points are attained. This shows that the presence of the qubit gives us more flexibility in choosing the appropriate parameter regime where CPT and CPS can be attained and controlled. We also find that OMIA shows three distinct peaks both in the linear and nonlinear cases. In the absence of the qubit, OMIA is converted to optomechanically induced transmission (OMIT). An increase in in the qubit decay rate also shows a transition from OMIA to OMIT. Our study reveals that the optical response of the nonlinear case is relatively rapid (more sensitive) compared to the linear case to changes in the system parameters. This demonstrates the potential use of this hybrid system in designing tunable all-optical-switch and photon-router both of which forms an important element of a quantum information network.

中文翻译：

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嵌入量子比特的混合光机械器件的量子光学响应

我们从理论上研究了混合量子光机械系统中的光学响应，该系统由两个光耦合微腔组成，其中两级系统（量子位）嵌入在可移动膜上。量子位可以是通过线性 Jaynes-Cummings 相互作用与机械振荡器相互作用的缺陷，也可以是通过非线性相互作用与机械模式耦合的超导电荷量子位。我们发现通过适当调整系统参数可以产生相干完美传输（CPT）、相干完美合成（CPS）和光机械诱导吸收（OMIA）。我们发现量子位及其与机械振荡器的相互作用成为控制这些量子光学特性的新手柄。与仅获得三个点的纯光机械情况（即在没有量子位的情况下）相比，量子位的存在导致可以实现 CPT 和 CPS 的四个点。这表明量子位的存在使我们可以更灵活地选择合适的参数方案，从而可以实现和控制 CPT 和 CPS。我们还发现 OMIA 在线性和非线性情况下都显示出三个不同的峰值。在没有量子位的情况下，OMIA 被转换为光机械诱导传输 (OMIT)。量子比特衰减率的增加也显示了从 OMIA 到 OMIT 的转变。我们的研究表明，与线性情况相比，非线性情况的光学响应对系统参数的变化相对较快（更敏感）。