# Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays

## TL;DR

This paper investigates the optical analogue of Jackiw-Rebbi states in waveguide arrays, demonstrating their topological robustness in both linear and nonlinear regimes, and showing how they can be generated from Dirac solitons.

## Contribution

It provides analytical and numerical analysis of topologically robust Jackiw-Rebbi states in photonic waveguides, including their nonlinear behavior and generation methods.

## Key findings

- Jackiw-Rebbi states are topologically robust in linear and nonlinear regimes.
- These states can be generated from Dirac solitons.
- The study combines analytical and numerical approaches.

## Abstract

We study analytically and numerically the optical analogue of the Jackiw-Rebbi states in quantum field theory. These solutions exist at the interface of two binary waveguide arrays which are described by two Dirac equations with opposite sign masses. We show that these special states are topologically robust not only in the linear regime, but also in nonlinear regimes (with both focusing and de-focusing nonlinearity). We also reveal that one can generate the Jackiw-Rebbi states starting from Dirac solitons.