Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908718836219904 |
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| author | Ryu, Jung-Wan Han, Jae-Ho Yi, Chang-Hwan Park, Hee Chul Park, Moon Jip |
| author_facet | Ryu, Jung-Wan Han, Jae-Ho Yi, Chang-Hwan Park, Hee Chul Park, Moon Jip |
| contents | The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional points. In a two-dimensional parameter space, topological classifications of non-separable bands in multiband non-Hermitian systems can be established by invoking a permutation group, where the product of the permutation represents state exchange due to exceptional points in the space. We unveil in this work the role of pseudo-Hermitian lines in non-Hermitian topology for multiple bands. In particular, the non-separability of non-Hermitian multibands can be topologically non-trivial without exceptional points in two-dimensional space. As a physical illustration of the role of pseudo-Hermitian lines, we examine a multiband structure of a photonic crystal system with lossy materials. Our work builds on the fundamental and comprehensive understanding of non-Hermitian multiband systems and also offers versatile applications and realizations of non-Hermitian systems without the need to consider exceptional points. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_17749 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems Ryu, Jung-Wan Han, Jae-Ho Yi, Chang-Hwan Park, Hee Chul Park, Moon Jip Quantum Physics Mesoscale and Nanoscale Physics The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional points. In a two-dimensional parameter space, topological classifications of non-separable bands in multiband non-Hermitian systems can be established by invoking a permutation group, where the product of the permutation represents state exchange due to exceptional points in the space. We unveil in this work the role of pseudo-Hermitian lines in non-Hermitian topology for multiple bands. In particular, the non-separability of non-Hermitian multibands can be topologically non-trivial without exceptional points in two-dimensional space. As a physical illustration of the role of pseudo-Hermitian lines, we examine a multiband structure of a photonic crystal system with lossy materials. Our work builds on the fundamental and comprehensive understanding of non-Hermitian multiband systems and also offers versatile applications and realizations of non-Hermitian systems without the need to consider exceptional points. |
| title | Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2405.17749 |