Abstract

We study the effects of dipole–dipole interactions on the diffusion of an expanding atomic Bose–Einstein condensate with tunable s-wave interactions in three-dimensional disorder potentials. First-order correction due to local and nonlocal nonlinearities to the average atomic density is analytically calculated in the long expanding time limit using a perturbative theory. It is found that the diffusion coefficient exhibits a stronger anisotropy dependence due to the dipolar interactions. We show that the intriguing interplay of dipolar and nondipolar interactions and disorder potential may affect the diffusive expansion.

Graphical Abstract

Profiles of the dynamics of the average atomic density of attractive DDI from Eq .(19) for different values of \(\epsilon _{dd}\) and \(p=0.08\). Black lines: \(\epsilon _{dd}=0\). Red lines: \(\epsilon _{dd}=0.16\). Blue lines: \(\epsilon _{dd}=0.4\). Green lines: \(\epsilon _{dd}=0.8\)

中文翻译：

---

三维无序势中偶极玻色-爱因斯坦凝聚态的扩散扩展

摘要

我们研究了偶极子-偶极子相互作用对膨胀原子玻色-爱因斯坦凝聚体扩散的影响，在三维无序势中具有可调的s波相互作用。使用微扰理论在长扩展时间限制内分析计算由于局部和非局部非线性对平均原子密度的一阶校正。研究发现，由于偶极相互作用，扩散系数表现出更强的各向异性依赖性。我们表明，偶极和非偶极相互作用以及无序电位之间有趣的相互作用可能会影响扩散扩张。

图形概要

对于不同的\(\epsilon _{dd}\)值和\(p=0.08\)值，来自方程 (19) 的有吸引力的 DDI 的平均原子密度的动力学曲线。黑线：\(\epsilon _{dd}=0\)。红线：\(\epsilon _{dd}=0.16\)。蓝线：\(\epsilon _{dd}=0.4\)。绿线：\(\epsilon _{dd}=0.8\)