Stable multi-ring and rotating solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates with a radially-periodic potential

Abstract

We consider two-dimensional spin-orbit coupled atomic Bose-Einstein condensate in a radially-periodic potential. The system supports different types of stable self-sustained states including radially-symmetric vorticity-carrying modes with different topological charges in two spinor components that may have multiring profiles and at the same time remain remarkably stable for repulsive interactions. Solitons of the second type show persistent rotation with constant angular frequency. They can be stable for both repulsive and attractive interatomic interactions. Due to inequivalence between clockwise and counterclockwise rotation directions introduced by spin-orbit coupling, the properties of such solitons strongly differ for positive and negative rotation frequencies. Collision of solitons located in the same or different rings is accompanied by change of the rotation frequency that depends on the phase difference between colliding solitons.

8 pages, 6 figures, including Supplementary Material

References in corpus (16)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• A Bose-Einstein Condensate in a Uniform Light-induced Vector Potential
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• The creation of two-dimensional composite solitons in spin-orbit-coupled self-attractive Bose-Einstein condensates in free space
• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• Spin-orbit coupled Bose-Einstein condensates in a one-dimensional optical lattice
• Soliton trains in Bose-Fermi mixtures
• Matter-wave solitons in radially periodic potentials
• Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices
• Soliton Magnetization Dynamics in Spin-Orbit Coupled Bose-Einstein Condensates
• Bose-Einstein condensates with localized spin-orbit coupling: soliton complexes and spinor dynamics
• Spin-orbit-coupled Bose-Einstein condensates held under toroidal trap
• Tunable spin-orbit coupled Bose-Einstein condensates in deep optical lattices
• Two-dimensional multisolitons and azimuthons in Bose-Einstein condensates with attraction
• Spin-orbit coupled polariton condensates in a radially-periodic potential: Multiring vortices and rotating solitons