Year: 2020
Type: article
Abstract: We propose an idea of eigenstate clustering in non-Hermitian systems. We show that nonorthogonal eigenstates can be clustered around exceptional points and illustrate our idea on some models. We discuss that exponential localization of eigenstates at edges due to the non-Hermitian skin effect is a typical example of eigenstate clustering. We numerically see that clustering of localized or extended eigenstates is possible in systems with both open and closed boundaries. We show that gain and loss can enhance eigenstate clustering. We use fidelities and the standard $k$-means clustering algorithm for a systematic study of clustered eigenstates.
Source: Physical Review A
Author: Cem Yuce
Institution: Eskisehir Technical University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3048878757