3 years ago

# Excited states of two-dimensional solitons supported by the spin-orbit coupling and field-induced dipole-dipole repulsion.

Shimei Liu, Chunqing Huang, Wei Pang, Yongyao Li, B. A. Malomed, Hexiang He, Yuebo Ye

It was recently found that excited states of semi-vortex and mixed-mode solitons (ESVs and EMMs) are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in a setting based on repulsive dipole-dipole interactions induced by a polarizing field, oriented perpendicular to the plane in which the dipolar BEC is trapped. The strength of the field is assumed to grow in the radial direction $\sim$ $r^{4}$. ESVs have vorticities $S$ and $S+1$ in their two components, each being an eigenstate of the angular momentum. The ESVs are fully stable up to $S=5$. EMMs feature interweaving necklace structures with opposite fractional values of the angular momentum in the two components. They are stable if they are built of dominant angular harmonics $\pm S$, with $S\leq 4$. Characteristics and stability of these two types of previously unknown higher-order solitons are systematically analyzed.

Publisher URL: http://arxiv.org/abs/1711.02874

DOI: arXiv:1711.02874v1

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