Nonlinear mixing of collective modes in harmonically trapped Bose-Einstein condensates
Nonlinear mixing of collective modes in harmonically trapped Bose-Einstein condensates
复制标题
谐波捕获玻色-爱因斯坦凝聚中集体模式的非线性混合
DOI：
10.1103/physreva.95.033623
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发表时间：
2017
影响因子：
2.9
通讯作者：
Tetsuro Nikuni
中科院分区：
文献类型：
--
作者：
Takahiro Mizoguchi;Shohei Watabe;Tetsuro Nikuni
研究了简谐囚禁玻色-爱因斯坦凝聚体中四极模和剪刀模之间的非线性混合效应。使用微扰技术结合高斯试探波函数的Gross-Pitaevskii方程的变分方法，我们发现，模式混合发生选择性。我们的微扰方法有助于对最近的实验[M. Yamazakie等人，日本物理学会84.044001（2015）JUPSAU 0031 -901510.7566/JPSJ.84.044001]，其表现出剪刀模式的拍频现象以及由高位四极模式频率对低位四极模式的调制现象。在二阶处理的非线性模式耦合项，我们的方法预测的所有光谱峰的数值模拟的Gross-Pitaevskii方程。
We study nonlinear mixing effects among quadrupole modes and scissors modes in a harmonically trapped Bose-Einstein condensate. Using a perturbative technique in conjunction with a variational approach with a Gaussian trial wave function for the Gross-Pitaevskii equation, we find that mode mixing occurs selectively. Our perturbative approach is useful in gaining a qualitative understanding of the recent experiment [M. Yamazakiet al., J. Phys. Soc. Jpn. 84, 44001 (2015)JUPSAU0031-901510.7566/JPSJ.84.044001], exhibiting a beating phenomenon of the scissors mode as well as a modulation phenomenon of the low-lying quadrupole mode by the high-lying quadrupole mode frequency. Within the second-order treatment of the nonlinear mode coupling terms, our approach predicts all the spectral peaks obtained by the numerical simulation of the Gross-Pitaevskii equation.