双势阱中的旋量玻色-爱因斯坦凝聚体
Spinor Bose-Einstein condensates in double well potentials
摘要：
研究了双势阱中F = 1旋量玻色-爱因斯坦凝聚体的静力学和动力学性质。我们使用一个双模Galerkin型准解析近似来描述系统的定态。这样，我们不仅能够获得早期的结果的基础上的单模近似（SMA）经常使用的旋量BEC的研究，但也涉及两个或所有三个旋量分量的F = 1旋量BEC的额外的模式。基于这种Galerkin型分解的结果与整个系统的分析是一致的。随后，我们分析了这些多组分状态的稳定性，以及当我们发现它们不稳定时它们的动态。对称态和反对称态的不稳定性表现出破缺和循环的非对称模式。我们的结果产生定性相似的分歧图极性（如Na 23）和铁磁（如Rb 87）旋量BEC。
英文摘要：
We consider the statics and dynamics of F = 1 spinor Bose-Einstein condensates (BECs) confined in double well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the stationary states of the system. This way, we are able to obtain not only earlier results based on the single mode approximation (SMA) frequently used in studies of spinor BECs, but also additional modes that involve either two or all three spinor components of the F = 1 spinor BEC. The results based on this Galerkin-type decomposition are in good agreement with the analysis of the full system. We subsequently analyze the stability of these multi-component states, as well as their dynamics when we find them to be unstable. The instabilities of the symmetric or anti-symmetric states exhibit symmetry-breaking and recurrent asymmetric patterns. Our results yield qualitatively similar bifurcation diagrams both for polar (such as Na23) and ferromagnetic (such as Rb87) spinor BECs.
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