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.

4 pages, 3 figures

References in corpus (6)

• Topological Photonics
• Observation of surface gap solitons in semi-infinite waveguide arrays
• Observation of discrete gap solitons in binary waveguide arrays
• Gap and out-gap breathers in a binary modulated discrete nonlinear Schrödinger model
• Reflection, Transmission and Trapping Dynamics of Lattice Solitons at Interfaces
• Optical simulation of neutrino oscillations in binary waveguide arrays

Cited by in corpus (7)

• Photonic Jackiw-Rebbi states in all-dielectric structures controlled by bianisotropy
• Reconfigurable quantum fluid molecules of bound states in the continuum
• Gauge-induced Floquet topological states in photonic waveguides
• Supercharge optical arrays
• Jackiw-Rebbi states in interfaced binary waveguide arrays with Kerr nonlinearity
• Spontaneously-Induced Dirac Boundary State and Digitization in a Nonlinear Resonator Chain
• Jackiw-Rebbi states and trivial states in interfaced binary waveguide arrays with cubic-quintic nonlinearity