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arxiv: 2402.07690 · v1 · pith:KQTRUYHPnew · submitted 2024-02-12 · 🪐 quant-ph · cond-mat.mes-hall

Interplay of pseudo-Hermitian symmetries and degenerate manifolds in the eigenspectrum of non-Hermitian systems

Grigory A. Starkov This is my paper
classification 🪐 quant-ph cond-mat.mes-hall
keywords degeneratemanifoldspseudo-hermitianpseudo-metricsystemsambiguityanalyzeappearance
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In this letter, we study how the spectrum of pseudo-Hermitian systems is influenced by the ambiguity in the choice of the pseudo-metric operator. In particular, we analyze the case when different parameter-independent choices of pseudo-metric are possible and how it can lead to the appearance of robust degenerate manifolds in the parameter space of the system.

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  1. Converting non-Hermitian degeneracies of any order: Hierarchies of exceptional points and degeneracy manifolds

    quant-ph 2026-04 unverdicted novelty 7.0

    Derogatory exceptional points in non-Hermitian systems can be converted to non-derogatory exceptional points of the same order by infinitesimal perturbations, forming hierarchies of degeneracy structures both with and...