$\mathcal{P}\mathcal{T}$-symmetric wave guide system with evidence of a third-order exceptional point

Abstract

An experimental setup of three coupled $\mathcal{P}\mathcal{T}$-symmetric wave guides showing the characteristics of a third-order exceptional point (EP3) has been investigated in an idealized model of three delta-functions wave guides in W.~D. Heiss and G.~Wunner, J. Phys. A 49, 495303 (2016). Here we extend these investigations to realistic, extended wave guide systems. We place major focus on the strong parameter sensitivity rendering the discovery of an EP3 a challenging task. We also investigate the vicinity of the EP3 for further branch points of either cubic or square root type behavior.

8 pages, 8 figures, minor changes in the text, additional references