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 LQ...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 diferent 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.展开更多
基金This work was supported by the National Natural Science Foundation of China(NNSFC)through Grant Nos.11905032 and 11874112the Key Research Projects of General Col-leges in Guangdong Province through Grant No.2019KZDXM001+1 种基金the Foundation for Distinguished Young Talents in Higher Educa-tion of Guangdong through Grant No.2018KQNCX279the Special Funds for the Cultivation of Guangdong College Students Scientific and Technological Innovation(No.xsjj202005zra01).
文摘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 diferent 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.
