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Open Quantum Systems Decoherence
Eigenstate clustering around exceptional points
arXiv
Authors: Cem Yuce
Year
2020
Paper ID
21551
Status
Preprint
Abstract Read
~2 min
Abstract Words
96
Citations
N/A
Abstract
We propose an idea of eigenstate clustering in non-Hermitian systems. We show that non-orthogonal 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 are 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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- We propose an idea of eigenstate clustering in non-Hermitian systems.
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