Eigenstate clustering around exceptional points
arXiv:2008.04929 · doi:10.1103/PhysRevA.102.032203
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.
To Appear in Physical Review A
References in corpus (25)
- Edge states and topological invariants of non-Hermitian systems
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Topological Origin of Non-Hermitian Skin Effects
- Non-Bloch Band Theory of Non-Hermitian Systems
- Non-Hermitian Chern bands
- Observation of bulk boundary correspondence breakdown in topolectrical circuits
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Anatomy of skin modes and topology in non-Hermitian systems
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Hybrid higher-order skin-topological modes in non-reciprocal systems
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Interplay of non-Hermitian skin effects and Anderson localization in non-reciprocal quasiperiodic lattices
- New topological invariants in non-Hermitian systems
- Topological states of non-Hermitian systems
- Topological Correspondence between Hermitian and Non-Hermitian Systems: Anomalous Dynamics
- Perspective on topological states of non-Hermitian lattices
- Non-Hermitian boundary and interface states in nonreciprocal higher-order topological metals and electrical circuits
- Topological phase in a non-Hermitian PT symmetric system
- Generalized bulk-edge correspondence for non-hermitian topological systems
- Topological states in non-Hermitian two-dimensional Su-Schrieffer-Heeger model
- Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling
- Non-Hermitian anomalous skin effect
- Extended Bloch theorem for topological lattice models with open boundaries
- Anomalous features of non-Hermitian topological states