有限温度下含三体相互作用的玻色-爱因斯坦凝聚体的集体激发特性  

The properties of collective excitation of Bose-Einstein condensateswith three-body interactions at finite temperature

作　　者：梁青青 周小燕 李好财 LIANG Qing-qing;ZHOU Xiao-yan;LI Hao-cai(School of Media Engineering,Lanzhou University of Arts and Science,Lanzhou 730000,Gansu,China)

机构地区：[1]兰州文理学院,传媒工程学院,甘肃兰州730000

出　　处：《西北师范大学学报（自然科学版）》2023年第4期54-58,71,共6页Journal of Northwest Normal University(Natural Science)

基　　金：兰州文理学院杰出青年科研人才培育计划(2018JCQN010);甘肃省高校教师创新基金项目(2023B-258);兰州文理学院2021年教育教学改革项目(2021-ZL-jxgg-18,2021-2L-jxgg-17)。

摘　　要：提出了一种描述有限温度下囚禁在谐振势肼中包含两体和三体相互作用的玻色-爱因斯坦凝聚体的自洽模型,利用该模型讨论了三体相互作用对凝聚体转变温度、凝聚体和非凝聚体密度分布和凝聚体集体激发频率的影响.利用求得的凝聚体基态波函数和集体激发的本征函数计算了集体激发模和准粒子的耦合矩阵元,得到了最低集体激发模的朗道阻尼,讨论了三体相互作用对最低激发模的朗道阻尼的影响.A self-consistent mode describing BEC with both two-and three-body interactions in a harmonic trap at finite temperature is poroposed.The effects of the three-body interaction on the condensate transition temperature,the density distribution of condensates and non-condensates and the collective excitation frequency of condensates are discussed.By using the ground-state wave function and eigen functions of the quasiparticles of this mode,the coupling matrix elements are given,which characterize the interaction between the collective modes and the quasipaticles.With these results,the Landau damping rate of the lowest mode as a function of three-body interactions strength is investigated.

关 键 词：三体相互作用 有限温度 集体激发 朗道阻尼 

分 类 号：O469[理学—凝聚态物理]