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 mid-gap 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 in either spatial or time domain.

© 2018 Optical Society of America

Parity anomaly laser

Daria A. Smirnova, Pramod Padmanabhan, and Daniel Leykam
Opt. Lett. 44(5) 1120-1123 (2019)

Optical revivals in nonuniform supersymmetric photonic arrays

M. H. Teimourpour, D. N. Christodoulides, and R. El-Ganainy
Opt. Lett. 41(2) 372-375 (2016)

Supercharged two-dimensional tweezer array with more than 1000 atomic qubits

Lars Pause, Lukas Sturm, Marcel Mittenbühler, Stephan Amann, Tilman Preuschoff, Dominik Schäffner, Malte Schlosser, and Gerhard Birkl
Optica 11(2) 222-226 (2024)

Supersymmetry-guided method for mode selection and optimization in coupled systems

Wiktor Walasik, Bikashkali Midya, Liang Feng, and Natalia M. Litchinitser
Opt. Lett. 43(15) 3758-3761 (2018)

Probing one-dimensional topological phases in waveguide lattices with broken chiral symmetry

S. Longhi
Opt. Lett. 43(19) 4639-4642 (2018)