用耦合腔阵列体系量子模拟强关联系统是近年备受关注的热点，但大部分研究都是基于理想的孤立系统，而环境作用下耗散耦合腔阵列体系中强关联系统的量子光学模拟研究工作甚少，物理机制尚待探究。本项目拟开展激光驱动和环境作用下耦合腔阵列中强关联系统的量子光学模拟及其在光子输运中的理论研究。项目拟采用准玻色图像消除环境的自由度并给出重整化的有效哈密顿量，系统地探索在不同参数条件下与Jaynes-Cummings-Hubbard、Tavis-Cumings 和 Dicke-Bose-Hubbard模型的对应，从动力学角度确定强关联效应的发生及其与失谐、耦合强度、驱动光频、原子自发辐射、腔场耗散等参数的关系，并在此基础上研究该体系中的光子输运。本项目的理论研究对于认识环境作用下耦合腔阵列体系量子模拟强关联多体系统的物理机制具有重要意义，并可为量子信息科学、超冷原子体系的量子调控提供理论依据。

Coupled cavity arrays sytsems are potential candidates to realize quantum simulators. In recent years, this field attracted tremendous attention and exhibited rich quantum many-body phenomena. Recent experimental progress in the coupled cavity arrays has triggered an immense interest in using them as quantum simulators of many-body physics and made them become a very good candidate for a possible quantum-information processing architecture. Despite the plentiful and substantial achievements, unfortunately, most of these studies only focused on the ideal and isolated coupled cavity array cases. However, the quantum optical system is basically coupled to its external environment in the actual experiments. It is therefore needed to clarified whether the link between the ideals of cavity arrays as quantum simulators and the realistically experimental condition is hold and how the dissipation and decoherence of the matter would behave in this system.Then this project will focus on the quantum simulation of the strong correlated system and the photon transport in the driven coupled cavity array attached to its environments. As the coupling between the system and the environment gives rise to great hurdles to fully describe the properties of the system, we first introduce a new kind of quasi-bosons approach to eliminate the coordinates of the bath and redescribe the system via an effective Hamiltonian. The requirements to realize analogs of Jaynes-Cummings-Hubbard model, Tavis-Cummings and Dicke-Bose-Hubbard model are conducted systematically. Then the dynamics of this system based on these models is solved analytically and numerically to investigate the effects of the controlling parameters, dissipation, decoherence, detunings, coupling strength, pump strength and finite temperatures on the strong-correlated effects. The photon transport in the dissipative coupled cavity array will also be investigated. Our research may open up a wealth of possibilities for pronounced understanding the mechanism of the strong-correlated effects in the array of coupled cavity systems considering the dissipation conveniently. Furthermore, it is not limited to certain implementations and can also be generalized to treat dynamical problems and atomic dissipation. We expect that our approach could be beyond the scope of this work and provide a starting point for discussing more complicated situations, such as quantum information and quantum control.