# Stable two-dimensional soliton complexes in Bose–Einstein condensates with helicoidal spin–orbit coupling

@article{Kartashov2020StableTS, title={Stable two-dimensional soliton complexes in Bose–Einstein condensates with helicoidal spin–orbit coupling}, author={Yaroslav V. Kartashov and E. Ya. Sherman and Boris A. Malomed and Vladimir V. Konotop}, journal={New Journal of Physics}, year={2020}, volume={22} }

We show that attractive two-dimensional (2D) spinor Bose–Einstein condensates with helicoidal spatially periodic spin–orbit coupling (SOC) support a rich variety of stable fundamental solitons and bound soliton complexes. Such states exist with chemical potentials belonging to the semi-infinite gap in the band spectrum created by the periodically modulated SOC. All these states exist above a certain threshold value of the norm. The chemical potential of fundamental solitons attains the bottom…

## 8 Citations

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It is shown that the interactions between solitary waves in the system have both elastic and inelastic collisions, which are closely related to the position of solitary wave states in the linear energy band.

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