Dresden 2020 – wissenschaftliches Programm
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KFM: Fachverband Kristalline Festkörper und deren Mikrostruktur
KFM 7: Whispering-Gallery-Mode Resonators
KFM 7.5: Vortrag
Dienstag, 17. März 2020, 15:20–15:40, TOE 317
Splitting and combining of exceptional points — •Jaewon Kim1 and Jung-Wan Ryu2 — 1Technische Universität Ilmenau, Germany — 2Institute for Basic Science, Daejeon, South Korea
At Exceptional point(EP) of non-Hermitian system, not just eigenvalue of Hamiltonian but also its eigenfunctions are degenerated. For the sensor application of microcavity, it was shown that EP can be used to increase its sensitivity and it actually demonstrated experimentally. Since then, interests on higher order EP, where more than 3 eigenfunctions are degenerated, naturally arose.
We studied splitting and combining of higher order EPs. The results of splitting are depend on the form of perturbation. For instance, EP3 can break into 2 EP2 or 3 EP2. Also we interpreted that many EP2, as an analogy of atom, can combine to make higher order EPs. By studying how they combine we can classify higher order EP.