Two-Dimensional Quantum Walk with Non-Hermitian Skin Effects

• 作者: Tianyu Li Yong-Sheng Zhang Wei Yi
• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2021,（3）
• 所属期刊栏目: GENERAL
• 页码范围: 1-6,中插1-中插3
• 页数: 1页
• 语种: 英文
• DOI: 10.1088/0256-307X/38/3/030301

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.