Non-Hermitian fractional quantum Hall states
Non-Hermitian fractional quantum Hall states
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DOI：
10.1038/s41598-019-53253-8
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发表时间：
2019-07
影响因子：
4.6
通讯作者：
Tsuneya Yoshida;Koji Kudo;Y. Hatsugai
中科院分区：
文献类型：
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作者：
Tsuneya Yoshida;Koji Kudo;Y. Hatsugai
我们证明了非厄米特系统的拓扑有序相的出现。具体地说，我们阐明了非厄米两体相互作用的系统显示分数量子霍尔（Fractional quantum Hall）状态。非厄米哈密顿量被认为是与冷原子耗散。通过拓扑简并的存在和基态多重态的多体陈氏数Ctot = 1，我们得出了非厄米特H-H态的出现的结论。针对非厄米性的强大拓扑简并性源于多体平移对称性。此外，我们还发现，在没有任何排斥相互作用的情况下，出现了一种类似于连续量子芝诺效应的现象。
We demonstrate the emergence of a topological ordered phase for non-Hermitian systems. Specifically, we elucidate that systems with non-Hermitian two-body interactions show a fractional quantum Hall (FQH) state. The non-Hermitian Hamiltonian is considered to be relevant to cold atoms with dissipation. We conclude the emergence of the non-Hermitian FQH state by the presence of the topological degeneracy and by the many-body Chern number for the ground state multiplet showingCtot= 1. The robust topological degeneracy against non-Hermiticity arises from the manybody translational symmetry. Furthermore, we discover that the FQH state emerges without any repulsive interactions, which is attributed to a phenomenon reminiscent of the continuous quantum Zeno effect.