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Topological Quantum Computing
Bulk-edge correspondence and trapping at a non-Hermitian topological interface
arXiv
Authors: Stefano Longhi
Year
2021
Paper ID
40480
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
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.
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- In Hermitian systems, according to the bulk-edge correspondence interfacing two topological optical media with different bulk topological numbers implies the existence of edge...
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