Topological gap solitons in Rabi Su-Schrieffer-Heeger lattices
arXiv:2310.11148 · doi:10.1103/PhysRevB.108.184301
Abstract
In this work, using binary Bose-Einstein condensate we propose a new type of topological insulator that does not explicitly use specially designed potential landscape, but instead utilizes spatially inhomogeneous Rabi coupling between two components, in the form of one- or two-dimensional Su-Schrieffer-Heeger (SSH) structure, combined with Zeeman splitting. Such Rabi lattices reveal the appearance of topologically nontrivial phases (including higher-order ones) controlled by spatial shift of the domains with enhanced coupling between condensates within unit cells of the structure, where localized topological states appear at the edges or in the corners of truncated Rabi lattice. We also show that the properties of edge states, their spatial localization, and location of their chemical potential within topological gap can be controlled by interatomic interactions that lead to formation of gap topological edge solitons bifurcating from linear edge states. Such solitons in condensates with inhomogeneous Rabi coupling appear as very robust nonlinear topological objects that do not require any threshold norm for their formation even in two-dimensional geometries, and that can exist in stable form for both attractive and repulsive interactions. Our results demonstrate considerable enhancement of stability of solitons in topological Rabi lattices in comparison with trivial Rabi lattices. They open new prospects for realization of topologically nontrivial phases by spatial engineering of coupling in multicomponent systems.
arXiv comment10 pages, 7 figures, to appear in Physical Review B
References in corpus (69)
- Topological Insulators
- Topological insulators and superconductors
- Berry Phase Effects on Electronic Properties
- 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
- A spin-orbit coupled Bose-Einstein condensate
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Optical Confinement of a Bose-Einstein Condensate
- Direct Measurement of the Zak phase in Topological Bloch Bands
- Observation of a phononic quadrupole topological insulator
- Spin-orbit coupling in quantum gases
- Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
- Nonlinear topological photonics
- Topological protection of photonic mid-gap cavity modes
- Topologically-protected refraction of robust kink states in valley photonic crystals
- Exciton-polariton topological insulator
- Observation of photonic anomalous Floquet Topological Insulators
- Classical higher-order topological insulators
- Photonic quadrupole topological phases
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Novel Topological Phase with Zero Berry Curvature
- Topological acoustics
- Observation of Photonic Topological Valley-Hall Edge States
- Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Observation of Topological Band Gap Solitons
- Topological Polaritons
- Topological quantum matter with cold atoms
- Light-induced emergent phenomena in 2D materials and topological materials
- Acoustic realization of quadrupole topological insulators
- Polariton Topological Insulator
- Nonlinearity-induced photonic topological insulator
- Nonlinear second-order photonic topological insulators
- Self-induced topological transitions and edge states supported by nonlinear staggered potentials
- Non-linear second-order topological insulators
- Topological Polaritons and Excitons in Garden Variety Systems
- 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
- Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
- Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
- Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
- Topological quantum walks in momentum space with a Bose-Einstein condensate
- Nonlinear one-way edge-mode interactions for frequency mixing in topological photonic crystals
- Lieb polariton topological insulators
- Observation of edge solitons in topological trimer arrays
- Chirality of topological gap solitons in bosonic dimer chains
- Topological dislocation modes in three-dimensional acoustic topological insulators
- Nonlinear imaging of nanoscale topological corner states
- Nonlinear imaging of nanoscale topological corner states
- Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons
- Vector Topological Edge Solitons in Floquet Insulators
- Stability of topological edge states under strong nonlinear effects
- Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
- Edge Solitons in Lieb Topological Floquet Insulators
- Topological photonic states in one-dimensional dimerized ultracold atomic chains
- Topological dipole Floquet solitons
- General corner states in 2D SSH model with intracelluar next-nearest-neighbour hopping
- Dark topological valley Hall edge solitons
- Nonlinear Topological Edge States in a non-Hermitian Array of Optical Waveguides Embedded in an Atomic Gas
- Gradient catastrophe of nonlinear photonic valley-Hall edge pulses
- Observation of nonlinearity-controlled switching of topological edge states
- Topological Edge-State Manifestation of Interacting 2D Condensed Boson-Lattice Systems in a Harmonic Trap
- Light bullets in Su-Schrieffer-Heeger photonic topological insulators
- Gap solitons in Rabi lattices
- Self-localized topological states in three dimensions