Quasi-stationary solutions in 1D non-Hermitian systems

Abstract

Eigenstates exhibit localization at an open edge in a non-Hermitian lattice due to non-Hermitian skin effect. We here explore another interesting feature of non-Hermitian skin effect and predict quasistationary solutions, which are approximately time-independent. We show that the transition from such states to eigenstates is dramatically non-perturbative. We consider a non-Hermitian variant of the Su-Schrieffer-Heeger (SSH) model and predict non-topological but robust quasi-stationary zero energy modes. (C) 2021 Elsevier B.V. All rights reserved.