论文标题
二维光学晶格中的量子液滴
Quantum droplets in two-dimensional optical lattices
论文作者
论文摘要
我们研究了零涡度和涡旋晶格量子液滴（LQD）的稳定性，这些液滴（LQDS）由具有定期势和Lee-Huang-Yang（Lhy）期限的二维（2D）Gross-Pitaevskii（GP）方程来描述。 LQD分为两种类型：以现场为中心和偏置的LQD，其中心分别位于电势的最小值和最大值。给出了这两种类型的LQD的稳定性区域，具有不同数量的位点，用于ZerOvorticity和s = 1的涡度。我们发现，稳定LQD与固定位点的U-N关系可能违反Vakhitov-Kolokolov（VK）标准，这是具有吸引人相互作用的非线性模式的必要稳定性条件。此外，U-N关系表明，具有相同位点数量的两种类型的涡流LQD被退化，而零涡度LQD则未退化。值得一提的是，具有零涡度和s = 1的涡流LQD的以偏置性的LQD为异质。
We study the stability of zero-vorticity and vortex lattice quantum droplets (LQDs), which are described by a two-dimensional (2D) Gross-Pitaevskii (GP) equation with a periodic potential and Lee-Huang-Yang (LHY) term. The LQDs are divided in two types: onsite-centered and offsitecentered LQDs, the centers of which are located at the minimum and the maximum of the potential, respectively. The stability areas of these two types of LQDs with different number of sites for zerovorticity and vorticity with S = 1 are given. We found that the u-N relationship of the stable LQDs with a fixed number of sites can violate the Vakhitov-Kolokolov (VK) criterion, which is a necessary stability condition for nonlinear modes with an attractive interaction. Moreover, the u-N relationship shows that two types of vortex LQDs with the same number of sites are degenerated, while the zero-vorticity LQDs are not degenerated. It is worth mentioning that the offsite-centered LQDs with zero-vorticity and vortex LQDs with S = 1 are heterogeneous.
