浅阱中玻色-爱因斯坦凝聚体稳定性探析  

The stability of Bose-Einstein condensates in a shallow trap

作　　者：周小燕 梁青青 杨惠 赵春艳 ZHOU Xiaoyan;LiANG Qingqing;YANG Hui;ZHAO Chunyan(School of Communication Engineering,Lan Zhou University of Arts and Science,Lanzhou 730000,China)

机构地区：[1]兰州文理学院传媒工程学院,兰州730000

出　　处：《延边大学学报(自然科学版)》2024年第4期26-29,共4页Journal of Yanbian University(Natural Science Edition)

基　　金：2023年高校教师创新基金(2023B-258);甘肃省教育厅2024大中小学课程教材专项研究课程成果(GSJC-Y2024074)。

摘　　要：针对浅阱中玻色-爱因斯坦凝聚体的稳定性问题,通过对凝聚体基态的波包宽度、能量和相互作用系数之间的函数关系进行计算,发现凝聚体之间的相互作用系数对其稳定性具有至关重要的作用.基于对激发态的稳定性的讨论,经计算,得到了凝聚体波包宽度的运动方程,以及凝聚体在不调制相互作用系数时其有效势的表达式.研究结果可为浅阱中的凝聚体稳定性等同类问题的解决提供参考与借鉴.For the stability problem of Bose-Einstein condensates in shallow traps,The calculation of the function relationship between the wave packet width,energy,and interaction coefficient of the condensate ground state revealed that the interaction coefficient between the condensates plays a crucial role in its stability.The stability of the excited states was also discussed,and the equation of motion for the wave packet width of the condensate was obtained,as well as the expression of the effective potential without modulated interaction coefficient.The research results can provide certain theoretical references for studying the stability of condensates in shallow traps.

关 键 词：玻色-爱因斯坦凝聚 基态 临界条件 激发态 有效势 

分 类 号：O469[理学—凝聚态物理]