Spectral localizer for line-gapped non-hermitian systems
Mathematical Physics
2023-11-30 v1 Mesoscale and Nanoscale Physics
math.MP
Optics
Abstract
Short-ranged and line-gapped non-hermitian Hamiltonians have strong topological invariants given by an index of an associated Fredholm operator. It is shown how these invariants can be accessed via the signature of a suitable spectral localizer. This numerical technique is implemented in an example with relevance to the design of topological photonic systems, such as topological lasers.
Cite
@article{arxiv.2303.09626,
title = {Spectral localizer for line-gapped non-hermitian systems},
author = {Alexander Cerjan and Lars Koekenbier and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:2303.09626},
year = {2023}
}