Quantum droplets in two-dimensional optical lattices

• 作者: Yi-Yin Zheng Shan-Tong Chen Zhi-Peng Huang Shi-Xuan Dai Bin Liu Yong-Yao Li Shu-Rong Wang
• 来源期刊: 物理学前沿
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: Quantum Computation & Quantum Information;Atomic,Molecular & Optical Physics
• 页码范围: 12-21
• 页数: 10页
• 语种: 英文

摘要

We study the stability of zero-vorticity and vortex lattice quantum droplets(LQDs),which are de-scribed 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 offsite-centered LQDs,the centers of which are located at the minimum and the maximum of the potential,respec-tively.The stability areas of these two types of LQDs with different number of sites for zero-vorticity and vorticity with S=1 are given.We found that the μ-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 μ-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.