论文标题
在旋转轨道耦合冷凝物中的二维孤子中手性和身份的约瑟夫森振荡
Josephson oscillations of chirality and identity in two-dimensional solitons in spin-orbit-coupled condensates
论文作者
论文摘要
我们研究了与Manakov非线性的旋转轨道耦合的Bose-Einstein冷凝物中半涡度（SV）和混合模式（MM）类型的二维手性孤子的动力学，该动力学与Manakov非线性相结合，并加载在双核（双层）陷阱中。 The system supports two novel manifestations of Josephson phenomenology: one in the form of persistent oscillations between SVs or MMs with opposite chiralities in the two cores, and another one demonstrating robust periodic switching (identity oscillations) between SV in one core and MM in the other, provided that the strength of the inter-core coupling exceeds a threshold value.在阈值以下，系统创建复合状态，相对于两个核心不对称或崩溃。还研究了手性和身份振荡抵抗与马纳科夫非线性偏差的鲁棒性。这些动态制度仅在非线性系统中才有可能。在线性的一条线性中，发现了贝塞尔类型的SV和MMS的精确静止和动力学解决方案。他们以不同的模式维持约瑟夫森的自我振荡，之间没有互连。
We investigate dynamics of two-dimensional chiral solitons of semi-vortex (SV) and mixed-mode (MM) types in spin-orbit-coupled Bose-Einstein condensates with the Manakov nonlinearity, loaded in a dual-core (double-layer) trap. The system supports two novel manifestations of Josephson phenomenology: one in the form of persistent oscillations between SVs or MMs with opposite chiralities in the two cores, and another one demonstrating robust periodic switching (identity oscillations) between SV in one core and MM in the other, provided that the strength of the inter-core coupling exceeds a threshold value. Below the threshold, the system creates composite states, which are asymmetric with respect to the two cores, or suffer the collapse. Robustness of the chirality and identity oscillations against deviations from the Manakov nonlinearity is investigated too. These dynamical regimes are possible only in the nonlinear system. In the linear one, exact stationary and dynamical solutions for SVs and MMs of the Bessel type are found. They sustain Josephson self-oscillations in different modes, with no interconversion between them.
