论文标题
通过电场操纵非铁皮皮肤效应
Manipulating non-Hermitian skin effect via electric fields
论文作者
论文摘要
在非热系统的系统中，在开放边界条件下，在系统边界积累了散装频率本征的现象称为非炎性皮肤效应（NHSE），这是非炎症系统的最具标志性和最重要的特征之一。在这项工作中，我们通过分析计算初始体积状态的动态演化并数值计算频谱绕组数，本本征态的分布以及动力学的演变来研究NHSE的命运。我们显示了DC和AC场对NHSE的大量操纵效应，并且这些效果背后的物理机制是Stark定位，动态定位和NHSE之间的相互作用。此外，具有纯直流电场的非热系统的有限尺寸分析显示了依赖大小的NHSE现象。我们进一步提出了一个方案，以实现基于电子电路的讨论模型。结果将有助于加深对NHSE及其操纵的理解。
In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are accumulated at the boundaries of the systems under open boundary conditions is called non-Hermitian skin effect (NHSE), which is one of the most iconic and important features of a non-Hermitian system. In this work, we investigate the fate of NHSE in the presence of electric fields by analytically calculating the dynamical evolution of an initial bulk state and numerically computing the spectral winding number, the distributions of eigenstates, as well as the dynamical evolutions. We show abundant manipulation effects of dc and ac fields on the NHSE, and that the physical mechanism behind these effects is the interplay between the Stark localization, dynamic localization and the NHSE. In addition, the finite size analysis of the non-Hermitian system with a pure dc field shows the phenomenon of size-dependent NHSE. We further propose a scheme to realize the discussed model based on an electronic circuit. The results will help to deepen the understanding of NHSE and its manipulation.
