谐振子势与高斯势联合势阱中玻色爱因斯坦凝聚体的巨涡旋态

doi:10.19596/j.cnki.1001-246x.8174

计算物理 ›› 2021, Vol. 38 ›› Issue (1): 113-119.DOI: 10.19596/j.cnki.1001-246x.8174

谐振子势与高斯势联合势阱中玻色爱因斯坦凝聚体的巨涡旋态

王书松, 张素英

山西大学理论物理研究所, 山西太原 030006

收稿日期:2019-11-18 修回日期:2020-02-29 出版日期:2021-01-25 发布日期:2021-01-25
通讯作者: 张素英,E-mail:zhangsy@sxu.edu.cn
作者简介:王书松(1992-),男,硕士研究生,研究方向为量子多体理论
基金资助:
国家自然科学基金（11772177）和山西省自然科学基金（201701D221001）资助项目

Giant Vortex States of Bose-Einstein Condensate in a Harmonic Plus Gaussian Trap

WANG Shusong, ZHANG Suying

Institute of Theoretical Physics, Shanxi University, Taiyuan, Shanxi 030006, China

Received:2019-11-18 Revised:2020-02-29 Online:2021-01-25 Published:2021-01-25

摘要/Abstract

摘要： 研究谐振子势与高斯势联合势阱中玻色爱因斯坦凝聚体的基态。发现凝聚体形成巨涡旋时，其涡旋个数等于平均角动量，且凝聚体密度分布和角动量密度分布相同，进而得到凝聚体形成巨涡旋时所处基态是角动量的本征态。发现势阱从各向同性的环形势阱逐渐变为各向异性的环形势阱的过程中，凝聚体的平均角动量与涡旋个数之比先由1平缓下降，然后迅速下降，最后保持在0.5附近。同时给出凝聚体密度分布和角动量分布的特征，并作出相应解释。

关键词: 巨涡旋, 角动量, 量子化

Abstract: We study ground states of a Bose-Einstein condensate in a harmonic plus Gaussian trap. It is found that as the condensate forms a giant vortex the number of vortices is equal to the average angular momentum and the density distribution of the ground state is the same as that of angular momentum. We draw a conclusion that the ground state with giant vortex is the eigen state of angular momentum. As the potential well changes from an isotropy toroidal trap to an anisotropic toroidal trap,the ratio of the average angular momentum of the condensates to the number of vortices decreases slowly from 1, and then drops rapidly and stays near 0.5. Characteristics of density distribution of condensate and angular momentum distribution are given and explanation is shown.

Key words: giant vortex, angular momentum, quantization

中图分类号:

O469

王书松, 张素英. 谐振子势与高斯势联合势阱中玻色爱因斯坦凝聚体的巨涡旋态[J]. 计算物理, 2021, 38(1): 113-119.

WANG Shusong, ZHANG Suying. Giant Vortex States of Bose-Einstein Condensate in a Harmonic Plus Gaussian Trap[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 38(1): 113-119.

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谐振子势与高斯势联合势阱中玻色爱因斯坦凝聚体的巨涡旋态

Giant Vortex States of Bose-Einstein Condensate in a Harmonic Plus Gaussian Trap

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