Bulk-edge correspondence and trapping at a non-Hermitian topological interface
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.
- Publication:
-
Optics Letters
- Pub Date:
- December 2021
- DOI:
- 10.1364/OL.445437
- arXiv:
- arXiv:2112.10205
- Bibcode:
- 2021OptL...46.6107L
- Keywords:
-
- Physics - Optics;
- Condensed Matter - Strongly Correlated Electrons;
- Quantum Physics
- E-Print:
- 5 pages, 4 figures