PT -symmetric waveguide system with evidence of a third-order exceptional point

نویسندگان

  • Jan Schnabel
  • Holger Cartarius
  • Jörg Main
  • Günter Wunner
  • Walter Dieter Heiss
چکیده

An experimental setup of three coupled PT -symmetric waveguides showing the characteristics of a third-order exceptional point (EP3) has been investigated by Heiss and Wunner in an idealized model of three δ-function waveguides [W. D. Heiss and G. Wunner, J. Phys. A 49, 495303 (2016)]. Here we extend these investigations to realistic, extended waveguide 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 cubicor square-root-type behavior.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Absence of Exceptional Points in Square Waveguide Arrays with Apparently Balanced Gain and Loss

The concept of parity-time (PT) symmetry in the field of optics has been intensively explored. This study shows the absence of exceptional points in a three-dimensional system composed of a square waveguide array with diagonally-balanced gain/loss distribution. More specifically, we show that an array of four coupled waveguides supports eight fundamental propagation supermodes, four of which ar...

متن کامل

Flag-transitive point-primitive $(v,k,4)$ symmetric designs with exceptional socle of Lie type

Let $G$ be an automorphism group of a‎ ‎$2$-$(v,k,4)$ symmetric design $mathcal D$‎. ‎In this paper‎, ‎we‎ ‎prove that if $G$ is flag-transitive point-primitive‎, ‎then the‎ ‎socle of $G$ cannot be an exceptional group of Lie type‎.

متن کامل

Visualization of branch points in PT-symmetric waveguides.

The visualization of an exceptional point in a PT-symmetric directional coupler (DC) is demonstrated. In such a system the exceptional point can be probed by varying only a single parameter. Using the Rayleigh-Schrödinger perturbation theory we prove that the spectrum of a PT-symmetric Hamiltonian is real as long as the radius of convergence has not been reached. We also show how one can use a ...

متن کامل

Conservative and PT-symmetric compactons in waveguide networks.

Stable discrete compactons in interconnected three-line waveguide arrays are found in linear and nonlinear limits in conservative and in parity-time (PT)-symmetric models. The compactons result from the interference of the fields in the two lines of waveguides ensuring that the third (middle) line caries no energy. PT-symmetric compactons require not only the presence of gain and losses in the ...

متن کامل

A non-Hermitian PT −symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points

We study a non-Hermitian PT −symmetric generalization of an Nparticle, two-mode Bose-Hubbard system, modeling for example a Bose-Einstein condensate in a double well potential coupled to a continuum via a sink in one of the wells and a source in the other. The effect of the interplay between the particle interaction and the non-Hermiticity on characteristic features of the spectrum is analyzed ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017