Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices

Abstract

We demonstrate dynamical topological phase transitions in evolving Su-Schrieffer-Heeger (SSH) lattices made of interacting soliton arrays, which are entirely driven by nonlinearity and thereby exemplify emergent nonlinear topological phenomena. The phase transitions occur from topologically trivial-to-nontrivial phase in periodic succession with crossovers from topologically nontrivial-to-trivial regime. The signature of phase transition is gap-closing and re-opening point, where two extended states are pulled from the bands into the gap to become localized topological edge states. Crossovers occur via decoupling of the edge states from the bulk of the lattice.

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• Versatile Control of Nonlinear Topological States in Non-Hermitian Systems
• Topological solitons in coupled Su-Schrieffer-Heeger waveguide arrays
• Soliton metacrystals: topology and chirality
• $\pi$-solitons on a ring of waveguides
• Rotating topological edge solitons
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Floquet solitons in square lattices: Existence, Stability and Dynamics