自旋相关外势下光晶格中的相分离
Phase separation in optical lattices in a spin-dependent external potential
摘要：
研究了光晶格上一维费米气体的相分离。用密度矩阵重整化方法计算了密度分布和磁化强度。自旋相关的谐振子禁闭和组分间费米子的强排斥相互作用的相互作用导致了自旋向上和自旋向下的原子之间的相分离。我们发现存在一个临界排斥相互作用强度以上的相分离的演变。通过增加陷阱不平衡度，Mott绝缘芯的复合相转变为铁磁绝缘芯的复合相，铁磁绝缘芯的复合相是不可压缩的，这源于泡利不相容原理。
英文摘要：
We investigate the phase separation in one-dimensional Fermi gases on optical lattices. The density distributions and the magnetization are calculated by means of density-matrix renormalization method. The phase separation between spin-up and spin-down atoms is induced by the interplay of the spin-dependent harmonic confinement and the strong repulsive interaction between intercomponent fermions. We find the existence of a critical repulsive interaction strength above which the phase separation evolves. By increasing the trap imbalance, the composite phase of Mott-insulating core is changed into the one of ferromagnetic insulating core, which is incompressible and originates from the Pauli exclusion principle.
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