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 (9)

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Cited by in corpus (11)

• Visualization of Branch Points in PT-Symmetric Waveguides
• Modal Analysis and Coupling in Metal-Insulator-Metal Waveguides
• Pseudospectra in non-Hermitian quantum mechanics
• Multi-Instantons and Exact Results III: Unified Description of the Resonances of Even and Odd Anharmonic Oscillators
• Scattering theory using smeared non-Hermitian potentials
• PT-symmetric models in curved manifolds
• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Resonant alteration of propagation in guiding structures with complex Robin parameter and its magnetic-field-induced restoration
• Bound states emerging from below the continuum in a solvable PT-symmetric discrete Schroedinger equation
• Guiding structures with multiply connected cross-sections: evolution of propagation in external fields at complex Robin parameters
• The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions