English

Anti-parity-time topologically undefined state

Optics 2022-01-05 v1

Abstract

We constructed an anti-parity-time-symmetric photonic lattice by using perturbations. The results show the topological state will appear when the waveguide coupling constants κ1<κ2\kappa_1<\kappa_2; Interestingly, a state with undefined winding numbers occurs when κ1=κ2\kappa_1=\kappa_2, in which the light distributes only in the wide waveguides with equal magnitude distribution. Further studies show that the edge state will be strengthened by introducing defect for the topologically non-trivial case, while it will not affect the equal intensity transmission for the topologically undefined state. Our work provides a new way to realize the topological state and equally divided light transmission and might be applicable in optical circuits and optical interconnect.

Keywords

Cite

@article{arxiv.2107.02533,
  title  = {Anti-parity-time topologically undefined state},
  author = {Haohao Wang and Kaiwen Ji and Yuandan Wang and Zhenjuan Liu and Yuanmei Gao and Yanlong Shen and Shi Bai and Koji Sugioka and Xinyuan Qi},
  journal= {arXiv preprint arXiv:2107.02533},
  year   = {2022}
}
R2 v1 2026-06-24T03:55:41.104Z