Mobile vector soliton in a spin-orbit coupled spin-$1$ condensate

Abstract

We study the formation of bound states and three-component bright vector solitons in a quasi-one-dimensional spin-orbit-coupled hyperfine spin $f=1$ Bose-Einstein condensate using numerical solution and variational approximation of a mean-field model. In the antiferromagnetic domain, the solutions are time-reversal symmetric, and the component densities have multi-peak structure. In the ferromagnetic domain, the solutions violate time-reversal symmetry, and the component densities have single-peak structure. The dynamics of the system is not Galelian invariant. From an analysis of Galelian invariance, we establish that the single-peak ferromagnetic vector solitons are true solitons and can move maintaining constant component densities, whereas the antiferromagnetic solitons cannot move with constant component densities.

References in corpus (8)

• Spin-orbit coupling in quantum gases
• Spin-Orbit Coupled Spinor Bose-Einstein Condensates
• Formation of bright matter-wave solitons during the collapse of Bose-Einstein condensates
• Bright solitons in spin-orbit-coupled Bose-Einstein condensates
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Stationary States of Trapped Spin-Orbit-Coupled Bose-Einstein Condensates
• Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates
• Perturbation theory for bright spinor Bose--Einstein condensate solitons

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• Supersolid-like states in a two-dimensional trapped spin-orbit-coupled spin-1 condensate
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