A two-dimensional hybrid cavity optomechanical array formed by an optomechanical cavity embedded with a two-level atom in each site is introduced to discuss the superfluid–Mott insulator quantum phase transition of light. On account of the optomechanical coupling effects stemmed from the coupled movable oscillator, the energy spectrum of the system changes, and an effective on-site repulsive interaction is reformed by modulating the optomechanically controlled parameters. By adjusting the detuning, an intersection between different critical chemical potentials can be found together with a disappearance of certain Mott lobes physically. The pronounced optomechanical coupling strength is in favor of the Mott insulator phase due to the enhanced effective on-site interactions. Additionally, the Kerr-nonlinearity reduces the average excitation of the high Mott insulator state and diminishes the superfluid regime. The results obtained here provide a novel image for characterizing the ...

中文翻译：

---

混合腔光学机械阵列中的超流体-莫特绝缘子量子相变

介绍了由在每个位点嵌入两个能级原子的光机械腔构成的二维混合腔光机械阵列，以讨论光的超流体-莫特绝缘子量子相变。由于耦合的可移动振荡器产生的光机耦合效应，系统的能谱发生了变化，并且通过调制光机控制参数来重新形成有效的现场排斥相互作用。通过调节失谐，可以发现不同临界化学势之间的交集以及某些莫特波瓣的消失。由于增强的有效现场相互作用，明显的光机耦合强度有利于Mott绝缘子相。另外，Kerr非线性会降低高Mott绝缘子状态的平均励磁并减小超流体状态。这里获得的结果提供了表征...的新颖图像。