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  Essential implications of similarities in non-Hermitian systems

Montag, A., & Kunst, F. K. (2024). Essential implications of similarities in non-Hermitian systems. arXiv, 2402.18249.

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Montag, Anton1, Author
Kunst, Flore K.1, Author           
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1Kunst Research Group, Marquardt Division, Max Planck Institute for the Science of Light, Max Planck Society, ou_3345236              

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Free keywords: Quantum Physics, quant-ph, Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 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.

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 Dates: 2024-02-28
 Publication Status: Published online
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 Identifiers: arXiv: 2402.18249
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Title: arXiv
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Pages: - Volume / Issue: - Sequence Number: 2402.18249 Start / End Page: - Identifier: -