Topological properties of one-dimensional hardcore Bose?Fermi mixture
Topological properties of one-dimensional hardcore Bose?Fermi mixture
复制标题
DOI：
10.1088/1674-1056/22/9/090308
复制
发表时间：
2013-09
影响因子：
1.7
通讯作者：
Yongfei Jia;Huaiming Guo;Jihong Qin;Ziyu Chen;S. Feng
中科院分区：
文献类型：
--
作者：
Yongfei Jia;Huaiming Guo;Jihong Qin;Ziyu Chen;S. Feng
我们研究的拓扑性质的一维（1D）硬核玻色？费米混合物的精确对角化方法。我们首先在费米子系统中加入一个硬核玻色子，通过对边缘态的分析，发现准粒子体现了系统的拓扑性质。然后我们研究了7个费米子和1个玻色子的混合物。我们发现，该混合物也表现出拓扑性质，其行为类似于相应的费米系统。我们提出了一个定性的解释，以理解这种行为使用之间的映射的硬核玻色子和无自旋费米子。这些结果表明存在的拓扑性质在一个1D硬核玻色？费米混合，并可能实现使用冷原子捕获在光学晶格实验。
We study the topological properties of a one-dimensional (1D) hardcore Bose?Fermi mixture using the exact diagonalization method. We firstly add a hardcore boson to a fermionic system and by examining the edge states we find that the quasi-particle manifests the topological properties of the system. Then we study a mixture with 7 fermions and 1 boson. We find that the mixture also exhibits topological properties and its behaviors are similar to that of the corresponding fermionic system. We present a qualitative explanation to understand such behaviors using the mapping between a hardcore boson and a spinless fermion. These results show the existence of topological properties in a 1D hardcore Bose?Fermi mixture and may be realized using cold atoms trapped in optical lattices experimentally.