تقرير
Essential implications of similarities in non-Hermitian systems
| العنوان: | Essential implications of similarities in non-Hermitian systems |
|---|---|
| المؤلفون: | Montag, Anton, Kunst, Flore K. |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Condensed Matter Mathematical Physics Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Mesoscale and Nanoscale Physics, Mathematical Physics |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2402.18249 |
| رقم الأكسشن: | edsarx.2402.18249 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |