Essential implications of similarities in non-Hermitian systems
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917872057450496 |
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| author | Montag, Anton Kunst, Flore K. |
| author_facet | Montag, Anton Kunst, Flore K. |
| contents | In this paper, we show that three different generalized similarities enclose all unitary and anti-unitary symmetries that induce exceptional points in lower-dimensional non-Hermitian systems. We prove that the generalized similarity conditions result in a larger class of systems than any class defined by a unitary or anti-unitary symmetry. Further we highlight that the similarities enforce spectral symmetry on the Hamiltonian resulting in a reduction of the codimension of exceptional points. As a consequence we show that the similarities drive the emergence of exceptional points in lower dimensions without the more restrictive need for a unitary and/or anti-unitary symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18249 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Essential implications of similarities in non-Hermitian systems Montag, Anton Kunst, Flore K. Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics In this paper, we show that three different generalized similarities enclose all unitary and anti-unitary symmetries that induce exceptional points in lower-dimensional non-Hermitian systems. We prove that the generalized similarity conditions result in a larger class of systems than any class defined by a unitary or anti-unitary symmetry. Further we highlight that the similarities enforce spectral symmetry on the Hamiltonian resulting in a reduction of the codimension of exceptional points. As a consequence we show that the similarities drive the emergence of exceptional points in lower dimensions without the more restrictive need for a unitary and/or anti-unitary symmetry. |
| title | Essential implications of similarities in non-Hermitian systems |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Mathematical Physics |
| url | https://arxiv.org/abs/2402.18249 |