Supercharge optical arrays
Abstract
We introduce the notion of a supercharge optical array synthesized according to supersymmetric charge operators. Starting from an arbitrary array, mathematical supersymmetry transformation can be used systematically to create a zero-energy physical state below the ground state of the super-partner array. This zero mode, which is pinned deep in the midgap of the corresponding supercharge array owing to the square-root spectral relationship between a supercharge and a super-Hamiltonian array, is shown to be protected because of the chiral symmetry inherent to a supercharge array. A supercharge array can be used in practical applications to design a discrete optical system of waveguides or coupled resonators where the mid-gap zero mode facilitates robust light dynamics either in spatial or time domain.
Keywords
Cite
@article{arxiv.1809.05756,
title = {Supercharge optical arrays},
author = {Bikashkali Midya and Wiktor Walasik and Natalia M. Litchinitser and Liang Feng},
journal= {arXiv preprint arXiv:1809.05756},
year = {2018}
}