Non-Hermitian Theory of Surface Emitting Jackiw-Rebbi States

Abstract

Topological interface states in open photonic systems combine spatial localization at domain walls with temporal confinement characterized by a radiative quality factor. Here, we develop a non-Hermitian Dirac formalism for surface-emitting Jackiw-Rebbi states in dielectric metagratings. We show how varying the local amplitude of the lattice perturbation shapes the complex Dirac mass profile, enabling control over the quality factors and far-field radiation patterns of the interface states, while preserving their topological character. Applying this framework to a metagrating with second-order Brillouin-zone folding, we design a spatially graded superlattice perturbation that supports interface states with quality factors exceeding 10⁴ and Hermite-Gaussian beam emission. These results establish superlattice perturbations as a strategy for topological beam shaping and offer a route toward high-Q topological surface emitters.

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BibTeX RIS

BibTeX

@misc{fan2026nonhermitian,
  title = {{Non-Hermitian Theory of Surface Emitting Jackiw-Rebbi States}},
  author = {Hangkai Fan and Mingzhao Song and Andrey Bogdanov},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00674},
  eprint = {2611.00674},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00674},
}

RIS

TY  - UNPB
TI  - Non-Hermitian Theory of Surface Emitting Jackiw-Rebbi States
AU  - Hangkai Fan
AU  - Mingzhao Song
AU  - Andrey Bogdanov
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00674
UR  - https://arxiv.org/abs/2611.00674
AB  - Topological interface states in open photonic systems combine spatial localization at domain walls with temporal confinement characterized by a radiative quality factor. Here, we develop a non-Hermitian Dirac formalism for surface-emitting Jackiw-Rebbi states in dielectric metagratings. We show how varying the local amplitude of the lattice perturbation shapes the complex Dirac mass profile, enabling control over the quality factors and far-field radiation patterns of the interface states, while preserving their topological character. Applying this framework to a metagrating with second-order Brillouin-zone folding, we design a spatially graded superlattice perturbation that supports interface states with quality factors exceeding 10^4 and Hermite-Gaussian beam emission. These results establish superlattice perturbations as a strategy for topological beam shaping and offer a route toward high-Q topological surface emitters.
ER  -

Abstract

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