摘要
探究当横向囚禁尺度是窄囚禁条件时,二维三角形光晶格中的基态和涡旋态晶格量子液滴及其稳定性问题。根据势函数的中心是否在晶格点上,分别获得了onsite型和offsite型晶格量子液滴。首先分析了两类晶格量子液滴所占据格点数的增长规律,进一步详细地给出了其对应的μ-N关系图。一方面,μ-N关系图说明了占据不同格点数晶格量子液滴的稳定参数范围,并从理论上分析了晶格量子液滴出现违反Vakhitov-Kolokolov判据的原因;另一方面,μ-N关系图展示了占据相同格点数目的晶格量子液滴,同为offsite型的晶格量子液滴展现为同形异构的特征,onsite型与offsite型之间则表现为完全异构的特征。
When the transverse trapping scale is narrow,the ground state and vortex state quantum droplets in two-dimensional triangular optical lattice and their stability are investigated.According to whether the center of the potential function is on the lattice point,the onsite type and offsite type lattice quantum droplets are obtained respectively.Firstly,the growth law of the number of lattice points occupied by two kinds of lattice quantum droplets is analyzed,and the corresponding μ-N diagram is given in detail.On the one hand,the μ-N diagram illustrates the stability parameter range of the lattice quantum droplets occupying different lattice points,and theoretically analyzes the reason why the lattice quantum droplets violate the Vakhitov-Kolokolov criterion;on the other hand,the μ-N diagram shows the lattice quantum droplets occupying the same number of lattice points,and the lattice quantum droplets with the same offsite type show the characteristics of isomerism,while the onsite type and offsite type show the characteristics of complete isomerism.
作者
刘彬
陈善桐
蔡晓妍
黎枫
陈逸熙
黎永耀
LIU Bin;CHEN Shan-tong;CAI Xiao-yan;LI Feng;CHEN Yi-xi;LI Yong-yao(School of Physics and Optoelectronic Engineering,Foshan University,Foshan 528225,China;Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology,Foshan 528225,China)
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2022年第5期1-8,16,共9页
Journal of Foshan University(Natural Science Edition)
基金
国家自然科学基金资助项目(11905032,11874112)
广东省自然科学基金面上项目(2021A1515010214)
广东省普通高校重点科研项目(2019KZDXM001)
粤港澳智能微纳光电技术联合实验室(2020B1212030010)。
关键词
量子液滴
三角形光晶格
涡旋
动力学
quantum droplets
triangle optical lattices
vortex
dynamics
