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.

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Cited by in corpus (13)

• Parity-Time Symmetry in Non-Hermitian Complex Optical Media
• Acoustic square-root topological insulators
• Supersymmetric microring laser arrays
• Topological multiband photonic superlattices
• One-dimensional topological insulators with noncentered inversion symmetry axis
• Trends in supersymmetric quantum mechanics
• Photonic systems with two-dimensional landscapes of complex refractive index via time-dependent supersymmetry
• Continuous supersymmetric transformations in optical waveguides
• Parity anomaly laser
• Supersymmetry-assisted high-fidelity ground state preparation of single neutral atom in an optical tweezer
• Isospectral and square root Cholesky photonic lattices
• A Supersymmetric Approach to the Problem of Micro-bending Attenuation in Optical Waveguides
• High-root topological edge-state bands