标题： 非厄米Wannier-Stark阶梯系统中的动态莫尔图案 显示英文标题

标题： Dynamic Moiré-like pattern in non-Hermitian Wannier-Stark ladder system

摘要： 我们研究了非厄米Wannier-Stark阶梯系统的动力学行为，这是一个具有位置依赖实势的非厄米Su-Schrieffer-Heeger链。在存在线性外场的情况下，我们采用非厄米Floquet方法，发现能级对场非常敏感。该系统表现出由一个异常点分隔的两种不同的动态行为：一种是在$\mathcal{PT}$对称区域，与两个实Wannier-Stark阶梯相关；另一种是在$\mathcal{PT}$对称破缺区域，与复共轭阶梯相关。作为两个区域之间的边界，两个阶梯合并为一个阶梯。在非线性场的情况下，这两个不同的区域沿着链交替出现，表现出类似莫尔的动态图案。 显示英文摘要

摘要： We study the dynamical behavior of the non-Hermitian Wannier-Stark ladder system, which is a non-Hermitian Su-Schrieffer-Heeger chain with a position-dependent real potential. In the presence of a linear external field, we employ the non-Hermitian Floquet method and find that the energy levels are sensitive to the field. The system exhibits two distinct dynamic behaviors separated by an exceptional point: one in the $\mathcal{PT}$ symmetrical region associated with two real Wannier-Stark ladders, and another in the $\mathcal{PT}$\ symmetry-breaking region associated with complex conjugate ladders. As the boundary between the two regions, two ladders coalesce into a single ladder. In the case of a non-linear field, these two distinct regions appear alternately along the chain, exhibiting dynamic Moir\'{e}-like patterns.