中文摘要：

利用两束蓝失谐的激光构建了一维光学晶格中自旋-轨道耦合的超冷偶极费米气体,并运用密度矩阵重整化群算法研究了该系统的基态特性。在短程和偶极长程相互作用的共同影响下,系统存在丰富的量子相。通过计算纠缠谱、粒子数密度分布和自旋关联函数,发现系统存在四个量子相：相分离相、电荷密度波相、反铁磁莫特绝缘体和非平庸的拓扑绝缘体。

英文摘要：

We propose an experimental scheme to realize spin-orbit coupled dipolar fermions in a one-dimen- sional optical lattice by only utilizing two blue-detuned lasers, and then obtain its ground-state properties by the density matrix renormalization group. With both the on-site and dipole-dipole interactions, the sys- tem has rich quantum phases. By calculating entanglement spectrums, density distributions and spin-corre- lation functions, we predict four quantum phases, including a phase separation phase, a charge-density wave phase, an antiferromagnetic Mott insulator, and a nontrivial topological insulator.