论文标题
贝塞尔涡流中的旋转式耦合二进制bose-instein与zeeman拆分的凝结
Bessel Vortices in Spin-Orbit-Coupled Binary Bose-Einstein Condensates with Zeeman Splitting
论文作者
论文摘要
我们对二维（2D）Bose-Einstein冷凝物（BEC）的固定溶液进行了分析，该溶液与Rashba Spin-Orbit（SO）耦合和Zeeman分裂分析。通过介绍广义动量运算符，可以精确求解系统的线性版本。在弱和强的Zeeman拆分的情况下，溶液是Bessel-oltex（BV）和修改的Bessel-wortex（MBV）类型的半涡流。完整非线性系统的基态（GSS）是在专门设计的神经网络（NN）的帮助下构建的。混合模式类型的GS随着交叉吸气相互作用的增加而出现。 GS的自旋纹理详细产生。它表现出BV类型的半涡度GS的Neel Skyrmion结构，并且以分析形式发现了相应的天空数。另一方面，MBV和混合模式类型的GSS不会形成天空。
We present an analysis of stationary solutions for two-dimensional (2D) Bose-Einstein condensates (BECs) with the Rashba spin-orbit (SO) coupling and Zeeman splitting. By introducing the generalized momentum operator, the linear version of the system can be solved exactly. The solutions are semi-vortices of the Bessel-vortex (BV) and modified Bessel-vortex (MBV) types, in the presence of the weak and strong Zeeman splitting, respectively. The ground states (GSs) of the full nonlinear system are constructed with the help of a specially designed neural network (NN). The GS of the mixed-mode type appears as cross-attraction interaction increases. The spin texture of the GS is produced in detail. It exhibits the Neel skyrmion structure for the semi-vortex GS of the BV type, and the respective skyrmion number is found in an analytical form. On the other hand, GSs of the MBV and mixed-mode types do not form skyrmions.
