Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects

被引:22
|
作者
Li, Tianyu [1 ]
Zhang, Yong-Sheng [1 ,2 ]
Yi, Wei [1 ,2 ]
机构
[1] Univ Sci & Technol China, CAS Key Lab Quantum Informat, Hefei 230026, Peoples R China
[2] CAS Ctr Excellence Quantum Informat & Quantum Phy, Hefei 230026, Peoples R China
基金
中国国家自然科学基金;
关键词
All Open Access; Green;
D O I
10.1088/0256-307X/38/3/030301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct a two-dimensional, discrete-time quantum walk, exhibiting non-Hermitian skin effects under open-boundary conditions. As a confirmation of the non-Hermitian bulk-boundary correspondence, we show that the emergence of topological edge states is consistent with the Floquet winding number, calculated using a non-Bloch band theory, invoking time-dependent generalized Brillouin zones. Further, the non-Bloch topological invariants associated with quasienergy bands are captured by a non-Hermitian local Chern marker in real space, defined via the local biorthogonal eigenwave functions of a non-unitary Floquet operator. Our work aims to stimulate further studies of non-Hermitian Floquet topological phases where skin effects play a key role.
引用
收藏
页数:9
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