Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates

Abstract

We derive exact static as well as moving solitonic solutions to the one-dimensional spin-orbit-coupled F=1 Bose-Einstein condensates. The static polar soliton is shown to be the ground state by the imaginary-time evolution method. It shows a helical modulation of the order parameter due to the spin-orbit coupling. In particular, the moving soliton exhibits a periodic oscillation among the particle numbers of the hyperfine states. We further explore the temporal evolution of the static polar soliton and find that the spin-polarization exhibits dynamical oscillations. This disappearance and re-emergence of the ferromagnetic state indicates the mixing of the ferromagnetic and the antiferromagnetic manifolds.

5 pages,4 figures

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Cited by in corpus (8)

• 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 of vector solitons in spin-orbit coupled spin-1 condensates
• Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing
• Spontaneous symmetry breaking in a spin-orbit coupled $f=2$ spinor condensate
• Stable multi-peak vector solitons in spin-orbit coupled spin-1 polar condensates
• Holding and transferring matter-wave solitons against gravity by spin-orbit-coupling tweezers
• Dragging spin-orbit-coupled solitons by a moving optical lattice