Vortex solitons in two-dimensional spin-orbit coupled Bose-Einstein condensates: effects of the Rashba-Dresselhaus coupling and the Zeeman splitting

Abstract

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the pseudo-spinor system of Gross-Pitaevskii equations with self- and cross-attraction, which includes the spin-orbit coupling (SOC) in the general Rashba-Dresselhaus form, and, separately, the Rashba coupling and the Zeeman splitting. Families of semi-vortex (SV) and mixed-mode (MM) solitons are constructed, which exist and are stable in free space, as the SOC terms prevent the onset of the critical collapse and create the otherwise missing ground states in the form of the solitons. The Dresselhaus SOC produces a destructive effect on the vortex solitons, while the Zeeman term tends to convert the MM states into the SV ones, which eventually suffer delocalization. Existence domains and stability boundaries are identified for the soliton families. For physically relevant parameters of the SOC system, the number of atoms in the 2D solitons is limited by $\sim 1.5\times 10^4$. The results are obtained by means of combined analytical and numerical methods.

Physical Review E, in press

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• Anisotropic semi-vortices in dipolar spinor condensates controlled by Zeeman splitting
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Bright soliton dynamics in Spin Orbit-Rabi coupled Bose-Einstein condensates
• Tail-free self-accelerating solitons and vortices
• Dipolar bright solitons and solitary vortices in a radial lattice
• Gap solitons in Rabi lattices
• Spin-orbit coupling and nonlinear modes of the polariton condensate in a harmonic trap
• Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates
• New Frontiers in Multidimensional Self-Trapping of Nonlinear Fields and Matter
• Nonlinear management of topological solitons in a spin-orbit-coupled system