论文标题
一维非高级超级晶格中的拓扑玻色 - 摩托米特绝缘子
Topological Bose-Mott insulators in one-dimensional non-Hermitian superlattices
论文作者
论文摘要
我们研究了一维非高级超级晶格中Bose-Mott绝缘子的拓扑特性，这可以作为具有两体损失或一体损失的冷原子光学系统的有效汉密尔顿人。我们发现，在强烈排斥的极限中，在整数填充物下具有有限的两体损失的Bose-Hubbard模型的Mott绝缘体状态是拓扑绝缘子，其特征是在开放式边界下以有限的电荷差距，非零整数Chern数字，非零件的Chern数字和非实用边缘模式。强烈的排斥力抑制的两体损失导致稳定的拓扑玻璃绝缘体具有类似于Hermitian案例的特征。但是，对于与一身损失有关的非热模型，我们发现非热拓扑莫特绝缘子在有限的想象激发差距的情况下是不稳定的。最后，我们还通过解决Lindblad Master方程来讨论Mott阶段在两体损失的情况下的稳定性。
We study the topological properties of Bose-Mott insulators in one-dimensional non-Hermitian superlattices, which may serve as effective Hamiltonians for cold atomic optical systems with either two-body loss or one-body loss. We find that in the strongly repulsive limit, the Mott insulator states of the Bose-Hubbard model with a finite two-body loss under integer fillings are topological insulators characterized by a finite charge gap, nonzero integer Chern numbers, and nontrivial edge modes in a low-energy excitation spectrum under an open boundary condition. The two-body loss suppressed by the strong repulsion results in a stable topological Bose-Mott insulator which has shares features similar to the Hermitian case. However, for the non-Hermitian model related to the one-body loss, we find the non-Hermitian topological Mott insulators are unstable with a finite imaginary excitation gap. Finally, we also discuss the stability of the Mott phase in the presence of two-body loss by solving the Lindblad master equation.
