Topological dipole Floquet solitons

Abstract

We theoretically introduce a new type of topological dipole solitons propagating in a Floquet topological insulator based on a kagome array of helical waveguides. Such solitons bifurcate from two edge states belonging to different topological gaps and have bright envelopes of different symmetries: fundamental for one component, and dipole for the other. The formation of dipole solitons is enabled by unique spectral features of the kagome array which allow the simultaneous coexistence of two topological edge states from different gaps at the same boundary. Notably, these states have equal and nearly vanishing group velocities as well as the same sign of the effective dispersion coefficients. We derive envelope equations describing components of dipole solitons and demonstrate in full continuous simulations that such states indeed can survive over hundreds of helix periods without any noticeable radiation into the bulk.

arXiv comment13 pages, 6 figures, to appear in Physical Review A

References in corpus (48)

• Topological Insulators
• Topological insulators and superconductors
• Topological Photonics
• Topological Photonics
• Photonic Floquet Topological Insulators
• Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
• Experimental realisation of the topological Haldane model
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Robust optical delay lines via topological protection
• Acoustic topological insulator and robust one-way sound transport
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Lasing in topological edge states of a 1D lattice
• Nonlinear topological photonics
• Exciton-polariton topological insulator
• Observation of photonic anomalous Floquet Topological Insulators
• Topologically protected acoustic helical edge states and interface states in strongly coupled metamaterial ring lattices
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Interacting topological insulators: a review
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Modulational instability in cigar shaped Bose-Einstein condensates in optical lattices
• Observation of Topological Band Gap Solitons
• Active topological photonics
• Polariton $\mathbb{Z}$ Topological Insulator
• Nonlinearity-induced photonic topological insulator
• Self-induced topological transitions and edge states supported by nonlinear staggered potentials
• Non-linear second-order topological insulators
• Direct imaging of topological edge states in cold-atom systems
• Observation and control of nonlinear electromagnetic topological edge states
• Observation of Edge Solitons in Photonic Graphene
• Observation of dipole-mode vector solitons
• Dipole-Mode Vector Solitons
• Bistable topological insulator with exciton-polaritons
• Exploring nonlinear topological states of matter with exciton-polaritons: Edge solitons in kagome lattice
• Topological edge states and gap solitons in the nonlinear Dirac model
• Lieb polariton topological insulators
• Multi-gap discrete vector solitons
• Interacting quantum fluid in a polariton topological insulator
• Nonlinear Topological Valley Hall Edge States Arising from Type-II Dirac Cones
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
• Vector Topological Edge Solitons in Floquet Insulators
• Edge Solitons in Lieb Topological Floquet Insulators
• Surface multi-gap vector solitons
• Topological insulators in longitudinally driven waveguides: Lieb and Kagome lattices
• ${\mathbb{Z}}_2$ topological insulator analog for vortices in an interacting bosonic quantum fluid
• Bragg solitons in topological Floquet insulators
• Vector mixed-gap surface solitons
• Strong transmission and reflection of edge modes in bounded photonic graphene

Cited by in corpus (21)

• Observation of edge solitons in topological trimer arrays
• Observation of nonlinear disclination states
• Nonlinear optical waveguide lattices: Asymptotic analysis, solitons, and topological insulators
• Valley Hall edge solitons in a photonic graphene
• Observation of nonlinearity-controlled switching of topological edge states
• Vector valley Hall edge solitons in superhoneycomb lattices
• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Self-localized topological states in three dimensions
• Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Floquet topological insulators with hybrid edges
• Topological edge solitons in \{chi}(2) waveguide arrays
• $\pi$-solitons on a ring of waveguides
• Four-wave mixing Floquet topological soliton
• Floquet defect solitons
• Rotating topological edge solitons
• Steering edge currents through a Floquet topological insulator
• Self-Accelerating Topological Edge States
• Dark solitons in nonlinear Su-Schrieffer-Heeger lattices
• Topological linear and nonlinear gap modes in defected dimer lattice with fourth-order diffraction