Quasi-stationary solutions in non-Hermitian systems
- URL: http://arxiv.org/abs/2103.12704v2
- Date: Thu, 8 Apr 2021 15:12:29 GMT
- Title: Quasi-stationary solutions in non-Hermitian systems
- Authors: C. Yuce
- Abstract summary: Eigenstates exhibit localization at an open edge in a non-Hermitian lattice due to non-Hermitian skin effect.
We predict quasi-stationary solutions, which are approximately time-independent.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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