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Exceptional Points and Stability in Nonlinear Models of Population Dynamics having symmetry
Alexander Felski, Flore K. Kunst
Nonlinearity and non-Hermiticity, for example due to environmental gain-loss processes, are a common occurrence throughout numerous areas of science and lie at the root of many rem…
The non-Hermitian skin effect: A perspective
Julius T. Gohsrich, Ayan Banerjee, Flore K. Kunst
The non-Hermitian (NH) skin effect is a truly NH feature, which manifests itself as an accumulation of states, known as skin states, on the boundaries of a system. In this perspect…
Spectral Riemann Sheet Topology of Gapped Non-Hermitian Systems
Anton Montag, Alexander Felski, Flore K. Kunst
We show topological configurations of the complex-valued spectra in gapped non-Hermitian systems. These arise when the distinctive EPs in the energy Riemann sheets of such models a…
Exceptional points of any order in a generalized Hatano-Nelson model
Julius T. Gohsrich, Jacob Fauman, Flore K. Kunst
Exceptional points (EPs) are truly non-Hermitian (NH) degeneracies where matrices become defective. The order of such an EP is given by the number of coalescing eigenvectors. On th…
Essential implications of similarities in non-Hermitian systems
Anton Montag, Flore K. Kunst
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-Hermiti…
Symmetry-induced higher-order exceptional points in two dimensions
Anton Montag, Flore K. Kunst
Exceptional points of order (EPs) appear in non-Hermitian systems as points where the eigenvalues and eigenvectors coalesce. They emerge if real constraints are imp…