A model of three coupled wave guides and third order exceptional points
| Autor: | W. D. Heiss, Günter Wunner |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Physics Fine-tuning Quantum Physics Exceptional point Mathematical analysis Structure (category theory) General Physics and Astronomy FOS: Physical sciences Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Third order Singularity Modeling and Simulation 0103 physical sciences Equidistant 010306 general physics Focus (optics) Quantum Physics (quant-ph) Realization (systems) Mathematical Physics |
| Popis: | A ${\cal PT }$-symmetric model for three interacting wave guides is investigated. Each wave guide is represented by an attractive $\delta$-function potential being in equidistant positions. The two outer potentials are complex describing loss and gain, respectively. The real parts of the outer potentials are assumed to be equal. The major focus of the study lies on the occurrence of an exceptional point of third order and the physical effects of such singularity. While some results resemble those from similar studies with two wave guides, the three wave guides appear to have a richer structure. Emphasis is placed on the fine tuning in the approach of the EP3 as this appears to be a particular challenge for an experimental realization. Comment: 10 pages, 3 figures submitted for publication |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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