论文标题
自旋交换相互作用下的几个身体溶液：磁性结合状态和围质筛选效果
Few-body solutions under spin-exchange interaction: magnetic bound state and the Kondo screening effect
论文作者
论文摘要
在最近进展的超速碱 - 地球原子朝着模拟近多物理学的目标方面的动机，在这项工作中，我们完全解决了一个维度和两个被困的费米子在一个维度中与可调式旋转旋转交互作用的局部杂质相互作用的几个物体问题。发现根据自旋交换耦合，铁磁（FM）或反铁磁（AFM）的迹象，有吸引力的和排斥的分支可以保持不同的磁性结构。对于这两种费米子情况，我们证明了具有AFM耦合的有吸引力分支的近托筛选效果，并证明与FM耦合的基态不存在这种筛选。此外，我们在AFM耦合侧找到了一系列FM上部分支。这些FM状态与所有其他有吸引力的分支都是正交的，它们的波函数具有完整的自旋电荷分离。还讨论了额外的接触相互作用以及我们的结果扩展到许多粒子的影响。这项工作揭示了与自旋交换相互作用在几种角度的独特相关的引人入胜的物理学，在超低碱土原子的实验中可以探索它们。
Motivated by recent progresses on ultracold alkaline-earth atoms towards the goal of simulating Kondo physics, in this work we exactly solve the few-body problem of one and two trapped fermions in one dimension interacting with a localized impurity under tunable spin-exchange interaction. It is found that depending on the sign of the spin-exchange coupling, ferromagnetic(FM) or anti-ferromagnetic(AFM), the attractive and repulsive branches can hold different magnetic structures. For the two fermions case, we demonstrate the Kondo screening effect for the attractive branch with AFM coupling, and show that such screening is absent for the ground state with FM coupling. Moreover, we find a sequence of FM upper branches in the AFM coupling side. These FM states are orthogonal to all other attractive branches and their wave functions feature a full spin-charge separation. The effect of an additional contact interaction and the extension of our results to many particles are also discussed. This work reveals the intriguing physics uniquely associated with the spin-exchange interaction in the few-body point of view, which are promisingly to be explored in the experiment of ultracold alkaline-earth atoms.
