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arXiv · 1809.05756

Supercharge optical arrays

Bikashkali Midya·Wiktor Walasik·Natalia M. Litchinitser·Liang Feng
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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.

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Bikashkali Midya, Wiktor Walasik, Natalia M. Litchinitser, Liang Feng. 2018-09-15. Supercharge optical arrays. https://doi.org/10.1364/ol.43.004927

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