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arXiv · 1609.09667

Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution

Penghua Chen·Y. D. Chong
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Abstract

We study the properties of Hamiltonians defined as the generators of transfer matrices in quasi- one-dimensional waveguides. For single- or multi-mode waveguides obeying flux conservation and time-reversal invariance, the Hamiltonians defined in this way are non-Hermitian, but satisfy symmetry properties that have previously been identified in the literature as "pseudo Hermiticity" and "anti-PT symmetry". We show how simple one-channel and two-channel models exhibit transitions between real, imaginary, and complex eigenvalue pairs.

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Penghua Chen, Y. D. Chong. 2017-06-22. Pseudo-Hermitian Hamiltonians Generating Waveguide Mode Evolution. https://doi.org/10.1103/physreva.95.062113

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