Essential implications of similarities in non-Hermitian systems

Montag A, Kunst FK (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Book Volume: 65

Article Number: 122101

Journal Issue: 12

DOI: 10.1063/5.0206211

Abstract

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.

Involved external institutions

Max-Planck-Institut für die Physik des Lichts (MPL) / Max Planck Institute for the Science of Light DE Germany (DE)

How to cite

APA:

Montag, A., & Kunst, F.K. (2024). Essential implications of similarities in non-Hermitian systems. Journal of Mathematical Physics, 65(12). https://doi.org/10.1063/5.0206211

MLA:

Montag, Anton, and Flore K. Kunst. "Essential implications of similarities in non-Hermitian systems." Journal of Mathematical Physics 65.12 (2024).

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