Non-Hermitian spectral effects in a PT-symmetric waveguide

TL;DR

This paper investigates the spectral properties of a PT-symmetric waveguide, revealing how non-Hermitian boundary conditions influence eigenvalues in an unbounded domain through numerical analysis.

Contribution

It provides a numerical analysis of non-Hermitian spectral effects in a PT-symmetric waveguide, highlighting the dependence of eigenvalues on boundary parameters.

Findings

Eigenvalues exhibit unusual dependence on boundary-coupling parameters.

Non-Hermitian features significantly affect the spectrum below the continuous spectrum.

The study advances understanding of spectral behavior in PT-symmetric waveguides.

Abstract

We present a numerical study of the spectrum of the Laplacian in an unbounded strip with PT-symmetric boundary conditions. We focus on non-Hermitian features of the model reflected in an unusual dependence of the eigenvalues below the continuous spectrum on various boundary-coupling parameters.