Experimental observation of the topological structure of exceptional points.

By C. Dembowski, H. Gräf, H. Harney, A. Heine, W. Heiss, H. Rehfeld, A. Richter. Physical Review Letters, 2001

644 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a03532d94dcd9d55847d228a2a8268a41a70f80f

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In Aerospace Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Loss-induced suppression and revival of lasing (2014, background): “esence of such anEP has a dramatic effect on the system, leading to nontrivial physics with interesting counterintuitive such asfeatures “resonance trapping”(5), a mode exchange when encircling an EP (6), and a singular topology in the parameter landscape (7). These characteristics can control the f”
Perspective on topological states of non-Hermitian lattices (2019, background): “spective on topological states of non-Hermitian lattices 2 the eigenvalues and eigenvectors coalesce (the non-Hermitian counterpart of Hermitian degeneracies), and have been studied for a few decades [40, 41, 42, 43, 44]. The focus of the present new wave of interest is, however, on a different aspe”
Spawning rings of exceptional points out of Dirac cones (2015, methodology): “To prove their existence, we use the unique topological property of EPs: when the system evolves adiabatically in the parameter space around an EP, the eigenvalues will switch their positions at the end of the loop [3,4].”
Physics of Nonhermitian Degeneracies (2004, background): “The branch-point nature of a nonhermitian degeneracy has implications: since the eigenvectors interchange around a circuit of the nonhermitian degeneracy, two circuits are required to make the states return, apart from an overall phase that again depends on the continuation rule (in a recent experim”
Non-Hermitian topology and exceptional-point geometries (2022, methodology): “Equation (9) also implies that the splitting of eigenvectors follows the factor δz , which is quantified using phase rigidity54,55, defined as r ψ ψ ψ ψ = , (10) L R R R ∣ ∣ which gives r+,− = δz1/2.”