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 without pseudo-Hermitian symmetry.
Without the loss of generality let’s assume that the eigenvalues are ordered𝜀 𝑖 ⩾𝜀 𝑖 + 1, first𝑝eigenvalues are positive and the rest𝑞eigen- values are negative
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Converting non-Hermitian degeneracies of any order: Hierarchies of exceptional points and degeneracy manifolds
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 without pseudo-Hermitian symmetry.