Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/2048
Title: Eigenstate clustering around exceptional points
Authors: Yüce, Cem
Issue Date: 2020
Publisher: Amer Physical Soc
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 fora systematic study of clustered eigenstates.
URI: https://doi.org/10.1103/PhysRevA.102.032203
https://hdl.handle.net/20.500.13087/2048
ISSN: 2469-9926
2469-9934
Appears in Collections:Matematik Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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