The chirality of exceptional points

By W. Heiss, Hanns Ludwig Harney. 2000

202 citations recorded by the source corpus.

Abstract:Exceptional points are singularities of the spectrum and wave functions of a Hamiltonian which occur as functions of a complex interaction parameter. They are accessible in experiments with dissipative systems. We show that the wave function at an exceptional point is a specific superposition of two configurations. The phase relation between the configurations is equivalent to a chirality which should be detectable in an experiment.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/420ce6f477b0e5773b694afc82310ec545df2d5b

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In Atomic and Molecular Physics, and Optics

In Statistical and Nonlinear Physics

Citations in the corpus

Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points (2017, background): “Depending on the EP’s chirality [21, 49], the zero energy state turns out to be localized on one edge or the opposite.”
The Quantum Harmonic Otto Cycle (2016, background): “Exceptional points (EPs) are degeneracies of non-Hermitian dynamics [98, 99] associated with the coalescence of two or more eigenstates.”
The optical singularities of birefringent dichroic chiral crystals (2003, background): “recently in other contexts (Heiss 2000; Heiss & Harney 2001; Rotter 2001, 2002; Berry 2003; Keck et al . 2003; Korsch & Mossman 2003).”