Nonlinear management of topological solitons in a spin-orbit-coupled system

Abstract

We consider possibilities to control dynamics of solitons of two types, maintained by the combination of cubic attraction and spin-orbit coupling (SOC) in a two-component system, namely, semi-dipoles (SDs) and mixed modes (MMs), by making the relative strength of the cross-attraction, gamma, a function of time periodically oscillating around the critical value, gamma = 1, which is an SD/MM stability boundary in the static system. The structure of SDs is represented by the combination of a fundamental soliton in one component and localized dipole mode in the other, while MMs combine fundamental and dipole terms in each component. Systematic numerical analysis reveals a finite bistability region for the SDs and MMs around gamma = 1, which does not exist in the absence of the periodic temporal modulation ("management"), as well as emergence of specific instability troughs and stability tongues for the solitons of both types, which may be explained as manifestations of resonances between the time-periodic modulation and intrinsic modes of the solitons. The system can be implemented in Bose-Einstein condensates, and emulated in nonlinear optical waveguides.

arXiv commentto be published in Symmetry (special issue "Non-linear Topological Photonics")

References in corpus (18)

• Light-induced gauge fields for ultracold atoms
• Spin-orbit coupling in quantum gases
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Degenerate Quantum Gases with Spin-Orbit Coupling
• Dynamically Stabilized Bright Solitons in a Two-Dimensional Bose-Einstein Condensate
• Trapped two-dimensional condensates with synthetic spin-orbit coupling
• Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Half-quantum vortex state in a spin-orbit coupled Bose-Einstein condensate
• Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting
• Spin-orbit-coupled dipolar Bose-Einstein condensates
• Textures of Spin-Orbit Coupled F=2 Spinor Bose Einstein Condensates
• Two-dimensional solitons in dipolar Bose-Einstein condensates with spin-orbit coupling
• Vortex dynamics in spin-orbit coupled Bose-Einstein condensates
• Vortex lattice solutions to the Gross-Pitaevskii equation with spin-orbit coupling in optical lattices
• Creating solitons by means of spin-orbit coupling
• Resonant nonlinearity management for nonlinear-Schrödinger solitons
• Dynamical stabilization of matter-wave solitons revisited