-solitons on a ring of waveguides
arXiv:2307.09881 · doi:10.1016/j.chaos.2023.113866
Abstract
We study the existence and stability of -solitons on a ring of periodically oscillating waveguides. The array is arranged into Su-Schrieffer-Heeger structure placed on a ring, with additional spacing between two ends of the array. Due to longitudinal oscillations of waveguides, this Floquet structure spends half of the longitudinal period in topological phase, while on the other half it is nontopological. Nevertheless, waveguide oscillations lead to the emergence of anomalous topological -modes at both ends of the structure that strongly couple in our ring geometry, leading to the formation of previously unexplored in-phase and out-of-phase -modes. We study topological solitons bifurcating from such linear -modes and demonstrate how their properties and stability depend on the size of the ring and on spacing between two ends of the array.
arXiv comment5 pages, 6 figures
References in corpus (26)
- Topological Photonics
- Topological Photonics
- Photonic Floquet Topological Insulators
- Nonlinear topological photonics
- Observation of photonic anomalous Floquet Topological Insulators
- Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
- Nonlinearity-induced photonic topological insulator
- Nonlinear second-order photonic topological insulators
- Floquet topological transitions in a driven one-dimensional topological insulator
- Observation of anomalous π modes in photonic Floquet engineering
- Anomalous Topological Phases and Unpaired Dirac Cones in Photonic Floquet Topological Insulators
- Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
- Complex classes of periodically driven topological lattice systems
- Topological edge states and gap solitons in the nonlinear Dirac model
- Observation of edge solitons in topological trimer arrays
- Chirality of topological gap solitons in bosonic dimer chains
- Vector Topological Edge Solitons in Floquet Insulators
- Observation of pi/2 modes in an acoustic Floquet system
- Edge Solitons in Lieb Topological Floquet Insulators
- Topological dipole Floquet solitons
- Bragg solitons in topological Floquet insulators
- Dynamically Emerging Topological Phase Transitions in Nonlinear Interacting Soliton Lattices
- Edge states in dynamical superlattices
- Rabi-like oscillation of photonic topological valley Hall edge states