Nonlocal nonlinear edge states in photonic Floquet lattices with pseudo-spin-orbit coupling
Phys. Rev. A 112, 033529 – Published 19 September, 2025
DOI: https://doi.org/10.1103/rjdz-dcqg
Abstract
We propose a theoretical framework for engineering wave-vector angles in nonlocal nonlinear Floquet lattices to modulate photonic spin-orbit coupling (SOC). By controlling polar and azimuthal angles of transverse wave vectors in orthogonally polarized beams, we achieve tunable SOC strength, which governs the formation and propagation dynamics of topological edge states. The nonlocal nonlinearity introduces a distinct threshold for edge state emergence while enhancing their scattering robustness. The helical lattice geometry enables dual-parameter control, linking edge state velocity and topological band-gap adjustment through a single structural parameter. This system provides a platform for investigating nonlinear topological phenomena, with potential applications in on-chip photonic devices and quantum information processing.