Landau damping and frequency-shift of a quadrupole mode in a disc-shaped rubidium Bose—Einstein condensate
Landau damping and frequency-shift of a quadrupole mode in a disc-shaped rubidium Bose—Einstein condensate
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DOI：
10.1088/1674-1056/23/9/090311
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发表时间：
2014-09
影响因子：
1.7
通讯作者：
Arzigul Rahmut;S. Peng;Xiao-Dong Ma
中科院分区：
文献类型：
--
作者：
Arzigul Rahmut;S. Peng;Xiao-Dong Ma
利用Hartree-Fock-Bogoliubov近似研究了圆盘状铷玻色-爱因斯坦凝聚体四极模式的朗道机制中的阻尼和频移。考虑了初等激励的实际弛豫和它们之间的正交关系，得到了合适的阻尼和频移计算公式。基态波函数采用高斯分布函数的一阶近似，适当地消除解析三模耦合矩阵元的散度。根据这些方法，对四极模式的朗道阻尼率和频移进行了解析计算。理论结果与实验结果吻合较好。
The damping and frequency-shift in Landau mechanism of a quadrupole mode in a disc-shaped rubidium Bose—Einstein condensate are investigated by using the Hartree—Fock—Bogoliubov approximation. The practical relaxations of the elementary excitations and the orthometric relation among them are taken into account to obtain advisable calculation formula for damping as well as frequency-shift. The first approximation of Gaussian distribution function is employed for the ground-state wavefunction to suitably eliminate the divergence of the analytic three-mode coupling matrix elements. According to these methods, both Landau damping rate and frequency-shift of the quadrupole mode are analytically calculated. In addition, all the theoretical results agree with the experimental ones.