中文摘要：

利用平均场理论和微扰论解析求解了失谐存在且环境作用下Jaynes-Cummings-Hubbard模型的哈密顿量，得到了体系序参量的解析表达式，并讨论了失谐对体系超流-绝缘相变的影响。研究结果表明：调节失谐可以改变腔间的有效排斥势和系统的临界隧穿率，实现系统在超流态和绝缘态之间转变。结合耗散耦合腔阵列的输运性质探讨了失谐对序参量取值的影响，结果显示：沿失谐负支随着失谐的增大，序参量会经历先增后减的变化。

英文摘要：

In this paper, based on the effective Jaynes-Cummings-Hubbard model Hamiltonian in the presence of detuning, we use the mean-field and the perturbation theory to figure out the superfluid order parameter of the system. By which we find that detuning from resonance allows one to drive the system from the superfluid into the insulator state of the polaritons and the reverse. In addition, combining with the properties of transportation of coupled dissipative cavity arrays with detuning, we discuss the influence of detuning on the number of superfluid polaritons and the lifetime of superfluid states. It suggests that the number of the superfluid polaritons will increase to its maximum and then reduce again along the negative part of detuning, which is similar to the spectrum of the transmission.