Numerical results show that the interplay of spin-orbit coupling and Rydberg interactions can stabilize 3D solitons, improving their resistance to collapse. The stability range depends on the strengths of spin-orbit coupling, Rydberg interactions, and the soft-core atomic radius.
We present numerical results for three-dimensional (3D) solitons with symmetries of the semi-vortex (SV) and mixed-mode (MM) types, which can be created in spinor Bose-Einstein condensates of Rydberg atoms under the action of the spin-orbit coupling (SOC). By means of systematic numerical computations, we demonstrate that the interplay of SOC and long-range spherically symmetric Rydberg interactions stabilize the 3D solitons, improving their resistance to collapse. We find how the stability range depends on the strengths of the SOC and Rydberg interactions and the soft-core atomic radius.
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