摘要: In this paper, we propose the concept called dynamical degeneracy splitting
to characterize the anisotropic decay behaviors in non-Hermitian systems. We
show that when the system has dynamical degeneracy splitting, it will exhibit
(i) anomalous scattering in the bulk and (ii) the non-Hermitian skin effect
under the open boundary condition of a generic geometry. As an application, we
propose directional invisibility in terms of wave packet dynamics to probe the
geometry-dependent skin effect in higher dimensions. Our work provides a
feasible way to detect the non-Hermitian skin effect in experiments.