中文摘要：

采用密度矩阵重整化群（density-matrix-renormalization-group，DMRG）方法，研究梯状光晶格中排斥相互作用费米气体的基态属性．研究表明，Zeeman场能够激发系统的相分离（完全极化相和部分极化相），而自旋轨道耦合效应能抑制相分离，使整个晶格处于部分极化相，在不同的强弱排斥相互作用系统中，极化率会随自旋轨道耦合改变表现出不同的变化规律．

英文摘要：

The density-matrix-renormalization-group （DMRG） method is used to numerically calculate the ground state of repulsively interacting Fermi atoms loaded in optical ladder lattices. It is found that the system exhibits the spatial separation of a fully spin-polarized phase from the partially polarized phase for the suitable intensity of Zeeman field without the effect of spin-orbit coupled atoms. The spin-orbit coupling drives the fully spin-polarized phase to the partially spin-polarized phase in the whole system. The spin polarizations of weak and strong repulsively interac- ting systems vary differently with spin-orbit interaction strength.