Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media
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| Format: | Preprint |
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2023
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| _version_ | 1866917693284679680 |
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| author | Fu, Yichen Qin, Hong |
| author_facet | Fu, Yichen Qin, Hong |
| contents | In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem. However, the interface between two bulks is usually non-Hermitian due to the inhomogeneities of system parameters. We show that the connection between topological modes and bulk topology still exists despite the non-Hermiticity at the interface if the system is endowed with PT symmetry. The theoretical framework developed is applied to the Hall magnetohydrodynamic model to identify a topological mode called topological Alfvén-sound wave in magnetized plasmas. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2309_10110 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media Fu, Yichen Qin, Hong Plasma Physics Mesoscale and Nanoscale Physics Fluid Dynamics Quantum Physics In classical Hermitian continuous media, the spectral-flow index of topological modes is linked to the bulk topology via index theorem. However, the interface between two bulks is usually non-Hermitian due to the inhomogeneities of system parameters. We show that the connection between topological modes and bulk topology still exists despite the non-Hermiticity at the interface if the system is endowed with PT symmetry. The theoretical framework developed is applied to the Hall magnetohydrodynamic model to identify a topological mode called topological Alfvén-sound wave in magnetized plasmas. |
| title | Topological modes and spectral flows in inhomogeneous PT-symmetric continuous media |
| topic | Plasma Physics Mesoscale and Nanoscale Physics Fluid Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2309.10110 |