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The driven dissipative nonlinear multimode photonic dimer is considered as the simplest case of solitons in photonic lattices. It supports a variety of emergent nonlinear phenomena including gear soliton generation, symmetry breaking and soliton hopping. Surprisingly, it has been discovered that the accessibility of solitons in dimers drastically varies for the symmetric and anti-symmetric supermode families. Linear measurements reveal that the coupling between transverse modes, that give rise to avoided mode crossings, can be almost completely suppressed. We explain the origin of this phenomenon which we refer to as symmetry protection. We show its crucial influence on the dissipative Kerr soliton formation process in lattices of coupled high Q resonators of any type. Examining topologically protected states in the Su-Schrieffer-Heeger model of coupled resonators, we demonstrate that topological protection is not sufficient against the transversal mode crossing induced disorder. Finally, we show that the topological edge state can be symmetry protected by carefully choosing the balance between intra- and inter-resonator coupling to higher-order transverse modes, which suppresses mode crossings.
Topological on-chip photonics based on tailored photonic crystals (PhC) that emulate quantum valley Hall effects has recently gained widespread interest due to its promise of robust unidirectional transport of classical and quantum information. We pr
Unidirectional photonic edge states arise at the interface between two topologically-distinct photonic crystals. Here, we demonstrate a micron-scale GaAs photonic ring resonator, created using a spin Hall-type topological photonic crystal waveguide.
Topological phases feature robust edge states that are protected against the effects of defects and disorder. The robustness of these states presents opportunities to design technologies that are tolerant to fabrication errors and resilient to enviro
We address linear and nonlinear topological interface states in polariton condensates excited at the interface of the honeycomb and Lieb arrays of microcavity pillars in the presence of spin-orbit coupling and Zeeman splitting in the external magneti
Topological insulators combine insulating properties in the bulk with scattering-free transport along edges, supporting dissipationless unidirectional energy and information flow even in the presence of defects and disorder. The feasibility of engine