arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0903.1863cond-mat.othercond-mat.str-el
收藏

旋量凝聚体II动力学的几何方法:集体模

A geometrical approach to the dynamics of spinor condensates II: Collective modes

Ryan Barnett, Daniel Podolsky, Gil Refael

摘要:

在本文中,我们使用arXiv:0812.3403中开发的自旋节点形式主义研究旋量凝聚体的线性动力学。我们提供了一个通用的方法来线性化的基础上的对称性的平均场基态的自旋节点的局部赤平投影的运动方程。我们还提供了一个简单的结构,以提取集体模式从对称性的考虑单独类似于多原子分子的振动激发的分析。最后,我们将提出一个自旋波模和原子中电子的波函数之间的映射,其中球对称性被晶体场退化。

英文摘要:

In this paper we study the linearized dynamics of spinor condensates using the spin-node formalism developed in arXiv:0812.3403. We provide a general method to linearize the equations of motion based on the symmetry of the mean-field ground state using the local stereographic projection of the spin nodes. We also provide a simple construction to extract the collective modes from symmetry considerations alone akin to the analysis of vibrational excitations of polyatomic molecules. Finally, we will present a mapping between the spin-wave modes, and the wave functions of electrons in atoms, where the spherical symmetry is degraded by a crystal field.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑