Quasi-stationary solutions in non-Hermitian systems
arXiv:2103.12704 · doi:10.1016/j.physleta.2021.127384
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 quasi-stationary solutions, which are approximately time-independent. We show that the transition from such states to eigenstates is dramatically non-perturbative. We discuss that mathematically extending the boundary of a long non-Hermitian lattice to infinity can lead to nontrivial solution. We consider a non-Hermitian variant of the Su-Schrieffer-Heeger (SSH) model and predict non-topological but robust quasi-stationary zero energy modes.
References in corpus (7)
- Topological Origin of Non-Hermitian Skin Effects
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- New topological invariants in non-Hermitian systems
- Topological phase in a non-Hermitian PT symmetric system
- Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
- Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
- Eigenstate clustering around exceptional points