论文标题
二维量子液滴的变异近似
The variational approximation for two-dimensional quantum droplets
论文作者
论文摘要
研究了在量子波动存在下的二维玻色子凝结物的动力学。通过各种方法分析局部密度分布，量子液滴（QD）的性能。证明超高斯函数可以很好地近似具有非零涡度的基本QD和液滴的曲线。获得了QD参数的动力学方程。这些方程式的固定点确定固定QD的参数。估计固定状态附近的QD的小振荡周期估计。可以获得量子波动强度的周期性调制可以启动不同的过程，包括QD参数的谐振振荡，波的发射以及将QD分解为较小的液滴。
The dynamics of a two-dimensional Bose-Einstein condensate in a presence of quantum fluctuations is studied. The properties of localized density distributions, quantum droplets (QDs), are analyzed by means of the variational approach. It is demonstrated that the super-Gaussian function gives a good approximation for profiles of fundamental QDs and droplets with non-zero vorticity. The dynamical equations for parameters of QDs are obtained. Fixed points of these equations determine the parameters of stationary QDs. The period of small oscillations of QDs near the stationary state is estimated. It is obtained that periodic modulations of the strength of quantum fluctuations can actuate different processes, including resonance oscillations of the QD parameters, an emission of waves and a splitting of QDs into smaller droplets.
