Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates

Abstract

We demonstrate the formation of multi-peak three-component stationary stripe vector solitons in a quasi-one-dimensional spin-orbit-coupled hyper-fine spin $F=1$ polar Bose-Einstein condensate. The present investigation is carried out through a numerical solution by imaginary-time propagation and an analytic variational approximation of the underlying mean-field Gross-Pitaevskii equation. Simple analytic results for energy and component densities were found to be in excellent agreement with the numerical results for solitons with more than 100 pronounced maxima and minima. The vector solitons are one of the two types: dark-bright-dark or bright-dark-bright. In the former a maximum density in component $F_z=0$ at the center is accompanied by a zero in components $F_z=\pm 1$. The opposite happens in the latter case. The vector solitons are demonstrated to be mobile and dynamically stable. The collision between two such vector solitons is found to be quasi elastic at large velocities with the conservation of total density of each vector soliton. However, at very small velocity, the collision is inelastic with a destruction of the initial vector solitons. It is possible to observe and study the predicted SO-coupled vector solitons in a laboratory.

arXiv admin note: text overlap with arXiv:1911.03498

References in corpus (18)

• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• 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
• C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap
• Anisotropic dynamics of a spin-orbit coupled Bose-Einstein condensate
• Generalized Rashba spin-orbit coupling for cold atoms
• Vector solitons in nearly-one-dimensional Bose-Einstein condensates
• Bose-Einstein Condensates in Spin-Orbit Coupled Optical Lattices: Flat Bands and Superfluidity
• Vortex-bright solitons in a spin-orbit coupled spin-$1$ condensate
• Motion of solitons in one-dimensional spin-orbit-coupled Bose-Einstein condensates
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Solitons in a trapped spin-1 atomic condensate
• OpenMP GNU and Intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Perturbation theory for bright spinor Bose--Einstein condensate solitons
• Dynamical generation of dark solitons in spin-orbit-coupled Bose-Einstein condensates

Cited by in corpus (1)

• Emergence of unstable avoided crossing in the collective excitations of spin-1 spin-orbit coupled Bose-Einstein condensates