Presentation Information

1:45 PM - 2:00 PM JST(4:45 AM - 5:00 AM UTC)

[22p-11E-2]Designing non-Hermitian systems with Jordan normal form

〇Kenta Takata^1,2, Adam Mock², Masaya Notomi^1,2,3, Akihiko Shinya^1,2 (1.NTT NPC, 2.NTT BRL, 3.Tokyo Tech.)

Keywords:

non-Hermitian system,Exceptional point,Coupled resonators

We propose a scheme for designing non-Hermitian systems based on the Jordan normal form of matrices. As an illustrative example of its applications, we show a series of 3x3 effective Hamiltonians with third-order exceptional points and pick one of them described by a symmetric matrix only with non-diagonal elements, which can be implemented by reciprocally coupled ring cavities and waveguides. We further report that such a system can exhibit an electromagnetically-induced-transparency-like transmission spectrum along the cubed Lorentzian function.

Back to Session information