Title: Linear and nonlinear photonic Jackiw-Rebbi states in waveguide arrays,
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.