Vortex gap solitons in spin–orbit-coupled Bose–Einstein condensates with competing nonlinearities

Xiaoxi Xu, Feiyan Zhao, Yangui Zhou, Bin Liu, Xunda Jiang*, Boris A. Malomed, Yongyao Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The formation and dynamics of full vortex gap solitons (FVGSs) are investigated in two-component Bose–Einstein condensates with spin–orbit coupling (SOC), Zeeman splitting (ZS), and competing cubic and quintic nonlinear terms, while the usual kinetic energy is neglected, assuming that it is much smaller than the SOC and ZS terms. Unlike previous SOC system with the cubic-only attractive nonlinearity, in which solely semi-vortices may be stable, with the vorticity carried by a single component, the present system supports stable FVGS states, with the vorticity present in both components (such states are called here “full vortex solitons”, to stress the difference from the half-vortices). They populate the bandgap in the system's linear spectrum. In the case of the cubic self-attraction and quintic repulsion, stable FVGSs with a positive effective mass exist near the top of the bandgap. On the contrary, the system with cubic self-repulsion and quintic attraction produces stable FVGSs with a negative mass near the bottom of the bandgap. Mobility and collisions of FVGSs with different topological charges are investigated too.

Original languageEnglish
Article number106930
JournalCommunications in Nonlinear Science and Numerical Simulation
StatePublished - Feb 2023


FundersFunder number
Graduate Innovative Talents Training Program of Foshan University
Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, China2020B1212030010
Key Research Projects of General Colleges in Guangdong Province2019KZDXM001
Special Funds for the Cultivation of Guangdong College Students Scientific and Technological Innovation, Chinapdjh2022a0538, pdjh2021b0529
National Natural Science Foundation of China12274077, 11874112, 11905032
Natural Science Foundation of Guangdong Province2021A1515010214
Israel Science Foundation1286/17, 1695/22
Foundation for Distinguished Young Talents in Higher Education of Guangdong2018KQNCX279, 2018KTSCX241
Basic and Applied Basic Research Foundation of Guangdong Province2021A1515111015


    • Cubic-quintic nonlinearity
    • Full vortex gap solitons
    • Soliton dynamics


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