Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate

Abstract

We study the vortex-bright solitons in a quasi-two-dimensional spin-orbit-coupled (SO-coupled) hyperfine spin-1 three-component Bose-Einstein condensate (BEC) using variational method and numerical solution of a mean-field model. The ground state of these vortex-bright solitons is radially symmetric for weak ferromagnetic and polar interactions. For a sufficiently strong ferromagnetic interaction, we observe the emergence of an asymmetric vortex-bright soliton as the ground state. We also numerically investigate stable moving solitons and binary collision between them. The present mean-field model is not Galilean invariant, and we use a Galilean-transformed model for generating the moving solitons. At low velocities, the head-on collision between two {\em in-phase} solitons results either in collapse or fusion of the soliton pair. On the other hand, in head-on collision, the two {\em out-of-phase} solitons strongly repel each other and trace back their trajectories before the actual collision. At low velocities, in a collision with an impact parameter, the {\em out-of-phase} solitons get deflected from their original trajectory like two rigid classical disks. These {\em out-of-phase solitons} behave like classical disks, and their collision dynamics is governed by classical laws of motion. However, at large velocities two SO-coupled spinor solitons, irrespective of phase difference, can pass through each other in a head-on collision like two quantum solitons.

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• Two-dimensional solitons and quantum droplets supported by competing self- and cross-interactions in spin-orbit-coupled condensates
• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
• Multi-ring, stripe, and super-lattice solitons in a spin-orbit coupled spin-1 condensate
• Phase-separation of vector solitons in spin-orbit coupled spin-1 condensates
• Tail-free self-accelerating solitons and vortices
• Dipolar bright solitons and solitary vortices in a radial lattice
• Quenching dynamics of the bright solitons and other localized states in spin-orbit coupled Bose-Einstein condensates
• Symbiotic solitons in a quasi-one- and quasi-two-dimensional spin-1 condensates
• Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
• Supersolid-like solitons in spin-orbit coupled spin-2 condensate
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Three-dimensional solitons in Rydberg-Dressed cold atomic gases with spin-orbit coupling
• Dragging spin-orbit-coupled solitons by a moving optical lattice
• Nonlinear modes in spatially confined spin-orbit-coupled Bose-Einstein condensates with repulsive nonlinearity