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

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

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 …