Year: 2017
Type: article
Abstract: We study the properties of Hamiltonians defined as the generators of transfer matrices in quasi-one-dimensional waveguides. For single- or multimode 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-$\mathcal{P}\mathcal{T}$ symmetry''. We show how simple one-channel and two-channel models exhibit transitions between real, imaginary, and complex eigenvalue pairs.
Source: Physical Review A
Authors: Penghua Chen, Y. D. Chong
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: G2213680509, G2598644940
OpenAlex ID: W2528847047