Solitons in -symmetric systems with spin-orbit coupling and critical nonlinearity
arXiv:2201.06139 · doi:10.1016/j.cnsns.2022.106282
Abstract
We construct families of one-dimensional (1D) stable solitons in two-component -symmetric systems with spin-orbit coupling (SOC) and quintic nonlinearity, which plays the critical role in 1D setups. The system models light propagation in a dual-core waveguide with skewed coupling between the cores. Stability regions for the solitons are identified in the system's parameter space. They include the main semi-infinite gap, and an additional finite . Stability boundaries are identified by means of simulations of the perturbed evolution, which agree with results produced by the linear-stability analysis for small perturbations. Distinct evolution scenarios are identified for unstable solitons. Generally, they suffer blowup or decay, while weakly unstable solitons transform into breathers. Due to a regularizing effect of SOC, stationary solitons are also found beyond the exceptional point, at which the symmetry breaks down, but they are unstable. Interactions between adjacent solitons are explored too, featuring rebound or merger followed by blowup. Slowly moving (tilted) solitons develop weak oscillations, while fast ones are completely unstable. Also considered is the reduced diffractionless system, which creates only unstable solitons.
arXiv commentTo be published in Commun. Nonlin. Sci. and Num. Sim
References in corpus (34)
- Photonic Floquet Topological Insulators
- Making Sense of Non-Hermitian Hamiltonians
- Spin-orbit interactions of light
- New Perspectives for Rashba Spin-Orbit Coupling
- A spin-orbit coupled Bose-Einstein condensate
- Light-induced gauge fields for ultracold atoms
- Nonlinear waves in -symmetric systems
- Spin-orbit coupling in quantum gases
- Visualization of Branch Points in PT-Symmetric Waveguides
- Degenerate Quantum Gases with Spin-Orbit Coupling
- Spin dynamics in semiconductors
- Physical realization of -symmetric potential scattering in a planar slab waveguide
- Nonlinear switching and solitons in PT-symmetric photonic systems
- Stability of solitons in PT-symmetric couplers
- The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
- Optical solitons in -symmetric nonlinear couplers with gain and loss
- Optics of Nonuniformly Moving Media
- Gap-Townes solitons and localized excitations in low dimensional Bose Einstein condensates in optical lattices
- Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities
- Stability boundaries and collisions of two-dimensional solitons in PT-symmetric couplers with the cubic-quintic nonlinearity
- Collapse of spin-orbit coupled Bose-Einstein condensates
- Stabilization of solitons in PT models with supersymmetry by periodic management
- Nonlinear Schrödinger equation for a PT symmetric delta-functions double well
- Stabilization of spatiotemporal solitons in Kerr media by dispersive coupling
- Creating solitons by means of spin-orbit coupling
- Discrete solitons and vortices on two-dimensional lattices of -symmetric couplers
- One- and two-dimensional solitons in PT-symmetric systems emulating the spin-orbit coupling
- Complexes of stationary domain walls in the resonantly forced Ginsburg-Landau equation
- Existence threshold for the ac-driven damped nonlinear Schrödinger solitons
- Solitons in PT-symmetric ladders of optical waveguides
- Spinor solitons and their -symmetric offspring
- Snakes and ghosts in a parity-time-symmetric chain of dimers
- Stabilization of one-dimensional Townes solitons by spin-orbit coupling in a dual-core system
- Dynamical control of solitons in a parity-time-symmetric coupler by periodic management