论文标题
四分之一的Quintic超越均值场相互作用对自结界偶极液滴的影响
Effect of quartic-quintic beyond-mean-field interactions on a self-bound dipolar droplet
论文作者
论文摘要
We study the effect of beyond-mean-field quantum-fluctuation (QF) Lee-Huang-Yang (LHY) and three-body interactions, with quartic and quintic nonlinearities, respectively, on the formation of a stable self-repulsive (positive scattering length $a$) and a self-attractive (negative $a$) self-bound dipolar Bose-Einstein condensate (BEC) droplet in free space under the action of two-body接触和偶极相互作用。先前对偶极液滴的研究考虑了LHY相互作用或三体相互作用，因为这些相互作用中的任何一个都可以稳定偶极的BEC液滴，以防止塌陷。我们发现，三体重组对偶极液滴形成的影响可能很大，并且要完全描述QF LHY和三体相互作用的问题，应同时考虑在适当的情况下。在小$ a $的自我抑制案例中，在自动吸引力的情况下，不知道适当的LHY相互作用，并且应仅使用三体相互作用，否则应使用以外的均值相互作用。我们考虑了高度非线性超出均值场模型的数值解决方案，以及在此研究中与之变化的近似值，并提供了对极化$^{164} $ dy原子的偶极液滴的大小，形状和能量的结果。形状类似于细丝，沿极化方向，可能很长，对于大量原子$ n $，小$ n $缩短，负$ a $ a $和小阳性$ a $，而对于大的正$ a $。
We study the effect of beyond-mean-field quantum-fluctuation (QF) Lee-Huang-Yang (LHY) and three-body interactions, with quartic and quintic nonlinearities, respectively, on the formation of a stable self-repulsive (positive scattering length $a$) and a self-attractive (negative $a$) self-bound dipolar Bose-Einstein condensate (BEC) droplet in free space under the action of two-body contact and dipolar interactions. Previous studies of dipolar droplets considered either the LHY interaction or the three-body interaction, as either of these interactions could stabilize a dipolar BEC droplet against collapse. We find that the effect of three-body recombination on the formation of a dipolar droplet could be quite large and for a complete description of the problem both the QF LHY and three-body interactions should be considered simultaneously, where appropriate. In the self-repulsive case for small $a$ and in the self-attractive case, no appropriate LHY interaction is known and only three-body interaction should be used, otherwise both beyond-mean-field interactions should be used. We consider a numerical solution of a highly-nonlinear beyond-mean-field model as well as a variational approximation to it in this investigation and present results for size, shape and energy of a dipolar droplet of polarized $^{164}$Dy atoms. The shape is filament-like, along the polarization direction, and could be long, for a large number of atoms $N$, short for small $N$, thin for negative $a$ and small positive $a$, and fat for large positive $a$.
