Bulk-edge correspondence and trapping at a non-Hermitian topological interface
arXiv:2112.10205 · doi:10.1364/OL.445437
Abstract
In Hermitian systems, according to the bulk-edge correspondence interfacing two topological optical media with different bulk topological numbers implies the existence of edge states, which can trap light at the interface. However, such a general scenario can be violated when dealing with non-Hermitian systems. Here we show that interfacing two semi-infinite Hatano-Nelson chains with different bulk topological numbers can result in the existence of infinitely many edge (interface) states, however light waves cannot be rather generally trapped at the interface.
arXiv comment5 pages, 4 figures
References in corpus (25)
- Topological Photonics
- Topological Photonics
- Edge states and topological invariants of non-Hermitian systems
- Exceptional Topology of Non-Hermitian Systems
- Localization transitions in non-Hermitian quantum mechanics
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Efficient Light Funneling based on the non-Hermitian Skin Effect
- Anatomy of skin modes and topology in non-Hermitian systems
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Non-Hermitian Topological Invariants in Real Space
- Bulk-Boundary Correspondence in a Non-Hermitian System in One Dimension with Chiral-Inversion Symmetry
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Observation of arbitrary topological windings of a non-Hermitian band
- Robust light transport in non-Hermitian photonic lattices
- A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
- Observation of non-Bloch parity-time symmetry and exceptional points
- Non-Bloch band collapse and chiral Zener tunneling
- Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
- Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
- Non-Bloch symmetry breaking in non-Hermitian Photonic Quantum Walks
- Non-Hermitian skin effect beyond the tight-binding models
Cited by in corpus (7)
- Topological Non-Hermitian skin effect
- Erratic non-Hermitian skin localization
- Non-Hermitian topological mobility edges and transport in photonic quantum walks
- Selective and tunable excitation of topological non-Hermitian skin modes
- Bulk-Edge Correspondence for Point-Gap Topological Phases in Junction Systems
- Generalized topological bulk-edge correspondence in bulk-Hermitian continuous systems with non-Hermitian boundary conditions
- Phase transitions in non-Hermitian superlattices