具有竞争非线性的自旋-轨道耦合玻色-爱因斯坦凝聚体中的涡隙孤子
Vortex gap solitons in spin-orbit-coupled Bose-Einstein condensates with competing nonlinearities
摘要：
在忽略通常的动能的情况下，研究了具有自旋轨道耦合项（SOC）、塞曼分裂项（ZS）以及竞争的三次和五次非线性项的两组分玻色-爱因斯坦凝聚体中满涡隙孤子（FVGS）的形成和动力学.不同于先前的SOC系统，其中只有半涡可以是稳定的，其中涡量由单个分量携带，本系统支持稳定的FVGS状态，其中涡量存在于两个分量中（这样的状态在这里被称为全涡孤子，以强调与半涡的差异）。它们占据了系统线性光谱中的带隙。在三次自吸引和五次排斥的情况下，带隙顶部附近存在稳定的正有效质量的FVGS。相反，具有立方自排斥和五次吸引的系统在带隙底部附近产生具有负质量的稳定的FVGS。研究了具有不同拓扑电荷的FVGS的迁移率和碰撞。
英文摘要：
The formation and dynamics of full vortex gap solitons (FVGSs) is 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.
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