论文标题
异核玻璃混合物的量子液滴中的涡旋
Vortices in quantum droplets of heteronuclear Bose mixtures
论文作者
论文摘要
We have theoretically investigated the structure of spinning self-bound droplets made of $^{41}$K-$^{87}$Rb Bose mixture by solving the Gross-Pitaevskii equation including beyond-mean-field correction in the Lee-Huang-Yang form.已经阐明了自结合混合物中涡流形成的结构和能量学,表明较重物种中线性涡流的形成在能量上比其他构型受到了青睐。结果在其他物种中形成了一个假(部分填充的)核心,从而导致一个可能在实验中成像的孔。通过计算角动量与旋转频率之间的关系,研究了涡流和毛细管之间的相互作用,这是可以将角动量存储在旋转超流体中的两种方式。结果表明,与原型超流体的情况相似,即$^4 $ He He在旋转时液滴。稳定图中的两条分支曲线在质量图上与经典(不可压缩和粘性)旋转液滴的期望相似,而当涡流中存在涡流时,则在液滴中存在涡流时,而prate(即非Axi-Angimmmemetric)形状仅在涡旋液滴中才允许。
We have theoretically investigated the structure of spinning self-bound droplets made of $^{41}$K-$^{87}$Rb Bose mixture by solving the Gross-Pitaevskii equation including beyond-mean-field correction in the Lee-Huang-Yang form. The structure and energetics of vortex formation in the self-bound mixture have been elucidated, showing that the formation of linear vortices in the heavier species is energetically favoured over other configurations. A fake (partially filled) core develops as a consequence in the other species, resulting in a hole which might be imaged in experiments. The interplay between vortices and capillary waves, which are the two ways angular momentum can be stored in a swirling superfluid, is studied in detail by computing the relation between angular momentum and rotational frequency. The results show intriguing similarities with the case of a prototypical superfluid, i.e. $^4$He droplets when set into rotation. A two-branches curve in the stability diagram, qualitatively similar to the one expected for classical (incompressible and viscous) rotating liquid droplets, is obtained when vortices are present in the droplets, while prolate (i.e. non axi-symmetric) shapes are only permitted in vortex-free droplets.