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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.04932 |
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| _version_ | 1866915277640302592 |
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| author | Hu, Shengyu Guo, Zhiwei Liu, Wenwei Chen, Shuqi Chen, Hong |
| author_facet | Hu, Shengyu Guo, Zhiwei Liu, Wenwei Chen, Shuqi Chen, Hong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04932 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Hermitian exceptional physics in RP^2 hyperbolic media Hu, Shengyu Guo, Zhiwei Liu, Wenwei Chen, Shuqi Chen, Hong Optics 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. |
| title | Non-Hermitian exceptional physics in RP^2 hyperbolic media |
| topic | Optics |
| url | https://arxiv.org/abs/2505.04932 |