本项目着重研究自旋轨道耦合玻色气体中的量子模拟、相变及相关的应用研究。自旋轨道耦合在不同的物理领域均有丰富而又重要的理论和应用价值。由于传统的材料系统主要关注的费米系统，而对于玻色系统，相关研究较少涉及，研究其在冷原子中模拟和相变对于进一步丰富该系统中的物理有很大的补充作用。本项目中，我们结合在量子光学中的研究背景，考虑自旋轨道耦合，特别是对于具有特殊物理性质的耦合作用在原子系统中的物理实现机制，并以此为基础,利用数值和理论相结合的方法研究其中的奇异量子态，以及对应的相变问题。进一步地，我们将考察自旋轨道耦合冷原子系统与量子光学体系之间的类比和耦合，并讨论与之相关的应用问题。

This project focuses on the theoretical invesitgations of simulation of spin-orbit coupled physics in ultracold bosonic quantum gases, including proposal of relevant spin-orbit coupling Hamiltonians, the phase transition physics, and its possible applications realted to quantum optics. Spin-orbit coupling plays important roles in interdisciplinary areas of physics. Many novel physics can be attributed to this effect. While in traditional material systems, spin-orbit coupling is mainly considered for fermions. It is the ultracold atomic gases which provides an ideal testbed to study such interesting physics in bosonic systems. Based on our previous research background in quantum optics, in this project, we will consider to propose theoretical schemes for the relevant spin-orbit coupling Hamiltonian which we think are of paticular importance. For typical spin-orbit coupled effect, the ground states may support various exoctic states, and phase transition behaviors will be studied. Finally, the impact of spin-orbit physics on quantum optics system, including its analogy to spin Hamiltonian, and the possible applications, will be considered.