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arXiv · 1411.3420

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

Yong-Kai Liu·Shi-Jie Yang
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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.

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Yong-Kai Liu, Shi-Jie Yang. 2014-11-13. Exact solitons and manifold mixing dynamics in the spin-orbit-coupled spinor condensates. https://doi.org/10.1209/0295-5075%2F108%2F30004

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