Extreme robustness of Jackiw–Rebbi states in binary waveguide arrays under strong disturbance

Abstract

We investigate the robustness of quantum relativistic Jackiw–Rebbi states, which have been found recently in a system consisting of two interfaced binary waveguide arrays with opposite propagation mismatches. For comparison, we study the robustness under strong disturbance during propagation of Jackiw–Rebbi states and quantum relativistic Dirac solitons, which have also been found earlier in binary waveguide arrays. We prove that these Jackiw–Rebbi states are extremely robust even under strong disturbance, as opposed to Dirac solitons.