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arXiv 1602.03538cond-mat.quant-gas
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角自旋轨道耦合下玻色-爱因斯坦凝聚体的激发谱

Excitation spectra of a Bose-Einstein condensate with an angular spin-orbit coupling

Ivana Vasic, Antun Balaz

备注：
12 pages, 13 figures
发表信息：
Phys. Rev. A 94, 033627 (2016)
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摘要：

最近人们提出了一个具有角自旋轨道耦合的玻色-爱因斯坦凝聚体的理论模型，并确定了在一定的自旋轨道耦合和相互作用范围内，半skyrmion代表基态。在这里，我们调查低的激发这一阶段，通过使用Bogoliubov方法和数值模拟的时间相关的Gross-Pitaevskii方程。我们发现，突然转移的陷阱底部的结果在一个复杂的二维运动系统的质量质心，这是显着不同的竞争相的响应，并包括两个主频率。此外，半skyrmion的呼吸模式频率由自旋轨道耦合和相互作用强度共同决定，而在竞争态下它取一个普适值。在两相之间的过渡阶段，相互作用的影响尤其明显。

英文摘要：

A theoretical model of a Bose-Einstein condensate with angular spin-orbit coupling has recently been proposed and it has been established that a half-skyrmion represents the ground state in a certain regime of spin-orbit coupling and interaction. Here we investigate low-lying excitations of this phase by using the Bogoliubov method and numerical simulations of the time-dependent Gross-Pitaevskii equation. We find that a sudden shift of the trap bottom results in a complex two-dimensional motion of the system's center of mass that is markedly different from the response of a competing phase, and comprises two dominant frequencies. Moreover, the breathing mode frequency of the half-skyrmion is set by both the spin-orbit coupling and the interaction strength, while in the competing state it takes a universal value. Effects of interactions are especially pronounced at the transition between the two phases.

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