Non-Hermitian exceptional physics in RP^2 hyperbolic media
Optics
2025-05-09 v1
Abstract
Conventional momentum space provides an orientable base space of a torus for topological classifications based on band theory. Here, we introduce a non-orientable momentum space isomorphic to the real projective plane RP^2 within the low-symmetry media. We show that the local band fluidity can be characterized by an expanded dihedral group with non-Abelian properties, while the global band fluidity offers a versatile platform to explore the evolution of non-Hermitian exceptional manifolds, including order-1, higher-order, hybrid exceptional manifolds, diabolic points and even bound states in the continuum. Furthermore, the non-orientable momentum space can pave the way for exploring the emergence of phenomena for exceptional manifolds.
Cite
@article{arxiv.2505.04932,
title = {Non-Hermitian exceptional physics in RP^2 hyperbolic media},
author = {Shengyu Hu and Zhiwei Guo and Wenwei Liu and Shuqi Chen and Hong Chen},
journal= {arXiv preprint arXiv:2505.04932},
year = {2025}
}