TYPE | Solid State Institute Seminar |
Speaker: | Prof.Alexei Mailybaev |
Affiliation: | Institue of pure and applied mathematics. IMPA Rio De Janeiro, Brazil |
Date: | 12.12.2018 |
Time: | 12:30 - 13:30 |
Location: | Solid State Auditorium(Entrance) |
Remark: | Host: Prof. Nimrod Moiseyev |
Presentation: | |
Abstract: | We discuss exceptional point (EP) degeneracies in linear PT-symmetric systems, focusing specifically on waveguides. Here EP is the point, where two eigenvalues and respective eigenvectors merge forming the Jordan block algebraic structure, and PT-symmetry features wave systems, where loss is compensated by gain in a parity-symmetric manner. We start with a general introduction describing the mathematical structure and physical significance of spectral properties related to EPs. As the central application, we show that vanishing of a group velocity (i.e., full stop of a light pulse) in a waveguide is related to the EP condition. This result is supported by numerical simulations for a pair of coupled waveguides, where the gain/loss parameter is changed adiabatically in time
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