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Articles by Flore K. Kunst
Symmetry-induced higher-order exceptional points in two dimensions
Exceptional points of order appear in non-Hermitian systems as points where the eigenvalues and eigenvectors coalesce. They emerge if real constraints are imposed, such that EP2s generically appear in two dimensions (2D). Local symmetries have been shown to reduce this number of constraints. In this work, we provide a complete characterization of the appearance of symmetry-induced higher-order EPs in 2D parameter space. We find that besides EP2s only EP3s, EP4s, and EP5s can be stabilized in 2D.
Realizing exceptional points of any order in the presence of symmetry
Abstract Exceptional points (EPs) appear as degeneracies in the spectrum of non-Hermitian matrices at which the eigenvectors coalesce. In general, an EP of order n may find room to emerge if 2(n−1) real constraints are imposed. Our results show that these constraints can be expressed in terms of the determinant and traces of the non-Hermitian matrix. Our findings further reveal that the total number of constraints may reduce in the presence of unitary and antiunitary symmetries.
Topological interface of light - Nature Physics
Upon combining dissipative and nonlinear effects in a bipartite lattice of cavity polaritons, dissipatively stabilized bulk gap solitons emerge, which create a topological interface. Cavity polaritons are bosonic light–matter quasiparticles resulting from the strong coupling between quantum-well excitons and photons confined in a cavity1.
Corner states of light in photonic waveguides
Abstract The recently established paradigm of higher-order topological states of matter has shown that not only edge and surface states1,2 but also states localized to corners, can have robust and exotic properties3,4,5,6,7,8,9. Here we report on the experimental realization of novel corner states made out of visible light in three-dimensional photonic structures inscribed in glass samples using femtosecond laser technology10,11.
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