论文标题

$^{164}的控制$ dy Bose-Einstein凝结阶段和偶性各向异性的动力学

Control of $^{164}$Dy Bose-Einstein condensate phases and dynamics with dipolar anisotropy

论文作者

Halder, S., Mukherjee, K., Mistakidis, S. I., Das, S., Kevrekidis, P. G., Panigrahi, P. K., Majumder, S., Sadeghpour, H. R.

论文摘要

我们研究了$^{164} $ dy原子的Quasi-One和二维偶极bose-Einstein冷凝物(DBEC)的淬灭动力学。因此,磁场控制偶极电位的大小和符号。我们说明了量子波动,这对于扩展的Gross-Pitaevskii形式主义中的外来量子液滴和超氧相位至关重要,其中包括所谓的Lee-huang-yang(Lhy)校正。分析变异的ANSATZ使我们能够获得超流体和液滴相的相图。通过粒子数和偶极相互作用探测从超氟到超滤波相的交叉和单滴和液滴阵列。通过旋转磁场对相边界的影响来调节偶极强度。在跨上述阶段进行相互作用淬灭之后,我们监视了超固定簇或液滴晶格的动态形成。我们包括由于三体重组而在跨界方案上造成的损失,其中三体重组率系数尺度具有散射长度($ a_s $)或偶极长度($ a_ {ddD} $)的第四功率($ a_s $)。对于无量纲参数的固定值,$ε_{dd} = a_ {dd}/a_s $,调整偶性各向异性会导致液滴寿命的增强。

We investigate the quench dynamics of quasi-one and two dimensional dipolar Bose-Einstein condensates (dBEC) of $^{164}$Dy atoms under the influence of a fast rotating magnetic field. The magnetic field thus controls both the magnitude and sign of the dipolar potential. We account for quantum fluctuations, critical to formation of exotic quantum droplet and supersolid phases in the extended Gross-Pitaevskii formalism, which includes the so-called Lee-Huang-Yang (LHY) correction. An analytical variational ansatz allows us to obtain the phase diagrams of the superfluid and droplet phases. The crossover from the superfluid to the supersolid phase and to single and droplet arrays is probed with particle number and dipolar interaction. The dipolar strength is tuned by rotating the magnetic field with subsequent effects on phase boundaries. Following interaction quenches across the aforementioned phases, we monitor the dynamical formation of supersolid clusters or droplet lattices. We include losses due to three-body recombination over the crossover regime, where the three-body recombination rate coefficient scales with the fourth power of the scattering length ($a_s$) or the dipole length ($a_{dd}$). For fixed values of the dimensionless parameter, $ε_{dd} = a_{dd}/a_s$, tuning the dipolar anisotropy leads to an enhancement of the droplet lifetimes.

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