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 consider a non-Hermitian variant of the Su-Schrieffer-Heeger (SSH) model and predict non-topological but robust quasi-stationary zero energy modes.

中文翻译：

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一维非Hermitian系统中的准平稳解

本征态由于非埃尔米特集肤效应而显示在非埃尔米特格子中的开放边缘处。我们在这里探索非赫密特人皮肤效应的另一个有趣特征，并预测近似时间无关的准平稳解。我们表明，从这样的状态到本征状态的过渡是显着的无扰动的。我们考虑了Su-Schrieffer-Heeger（SSH）模型的非Hermitian变体，并预测了非拓扑但鲁棒的准平稳零能量模式。