论文标题
二维量子步行，具有非铁皮皮肤效应
Two-dimensional quantum walk with non-Hermitian skin effects
论文作者
论文摘要
我们构建了一个二维离散时间量子步行，在开放式条件下表现出非温和的皮肤效应。为了确认非热散装对应关系，我们表明，拓扑边缘状态的出现与使用非Bloch带理论调用时间依赖性的广义Billouin区计算得出的浮子绕组数量一致。此外，与非平地的非局部Chern标记物在实际空间中捕获了与准材料带相关的非Bloch拓扑不变性，该标记是通过非自动浮球操作员的局部生物表决特征波函数定义的。我们的工作将刺激对皮肤效应起关键作用的非热浮游拓扑阶段的进一步研究。
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 are consistent with Floquet winding numbers calculated using a non-Bloch band theory invoking time-dependent generalized Billouin zones. Further, the non-Bloch topological invariants associated with quasienergy bands are captured by a non-Hermitian local Chern marker in real space, defined through local biorthogonal eigen wave functions of the non-unitary Floquet operator. Our work would stimulate further studies of non-Hermitian Floquet topological phases where skin effects play a key role.
