Non-Hermitian spectral effects in a PT-symmetric waveguide

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.

17 pages, LaTeX with 7 EPS figures. Contrary to a version to appear in J. Phys. A, this one contains the figures in colour.

References in corpus (4)

• Making Sense of Non-Hermitian Hamiltonians
• Closed formula for the metric in the Hilbert space of a PT-symmetric model
• Perturbation theory of PT-symmetric Hamiltonians
• $PT$ symmetric non-selfadjoint operators, diagonalizable and non-diagonalizable, with real discrete spectrum

Cited by in corpus (4)

• Visualization of Branch Points in PT-Symmetric Waveguides
• Modal Analysis and Coupling in Metal-Insulator-Metal Waveguides
• Scattering theory using smeared non-Hermitian potentials
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs