Elsevier

Applied Mathematics Letters

Volume 92, June 2019, Pages 15-21
Applied Mathematics Letters

Vortex solitons in Bose–Einstein condensates with spin–orbit coupling and Gaussian optical lattices

https://doi.org/10.1016/j.aml.2018.12.023Get rights and content
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Abstract

We investigate the generation and stability of three-dimensional (3D) solitons in binary atomic Bose–Einstein condensates with spin–orbit coupling (SOC) and Super-Gaussian optical lattices. We examine the stability of 3D solitons using their norm and energy. The evolution of solitons is made more stable and their resistance to collapse more robust by the introduction of Gaussian lattices. Depending on the relative strength of SOC, the nonlinearity modulation parameter, and the lattice parameters, we observe stable solitons of the semi-vortex and mixed-mode type. In addition, we demonstrate the robustness of solitons in propagation and collisions.

Keywords

Vortex solitons
Bose–Einstein condensates
Gaussian lattices
Spin–orbit coupling

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