环形势阱中旋转玻色爱因斯坦凝聚体的基态

计算物理 ›› 2015, Vol. 32 ›› Issue (6): 744-750.

环形势阱中旋转玻色爱因斯坦凝聚体的基态

刘燕, 张素英

山西大学理论物理研究所, 陕西太原 030006

收稿日期:2014-12-05 修回日期:2015-02-13 出版日期:2015-11-25 发布日期:2015-11-25
作者简介:刘燕(1988-),女,硕士生;研究方向:计算物理,E-mail:zhangsy@sxu.edu.cn
基金资助:
国家自然科学基金(91430109);高等学校博士学科点专项科研基金(20111401110004);山西省自然科学基金(2014011005-3)资助项目

Ground States of Rotating Bose-Einstein Condensates in an Annular Trap

LIU Yan, ZHANG Suying

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

Received:2014-12-05 Revised:2015-02-13 Online:2015-11-25 Published:2015-11-25

摘要/Abstract

摘要： 应用托马斯-费米近似和虚时演化数值方法研究环形势阱中旋转玻色爱因斯坦凝聚体的基态密度分布.当增加其旋转角频率,或者增加环形势阱的宽度及相应的中心高度,凝聚体基态密度分布均从涡旋晶格相转变为巨涡旋相.当旋转角频率为零时,增加环形势阱的宽度及相应的中心高度,凝聚体基态密度分布从一个圆盘变为圆环.解析结果与数值结果相互吻合.

关键词: 托马斯-费米近似, 中心洞, 巨涡旋

Abstract: Thomas-Fermi approximation (TFA) and imaginary-time propagation method are used to study ground states of rotating Bose-Einstein condensates in an annular trap. Ground state density profiles of condensates experience a transition from vortex lattice phase to giant vortex phase with increase of angular frequency or with increase of width and center height of trap potential. Particularly, ground state density profiles change from a disc shape into an annulus shape with the increase of width and center height of trap potential, when angular frequency is zero. Finally, comparison between ground state density profiles, obtained by analytical method and numerical method is made. They coincide with each other.

Key words: Thomas-Fermi approximation, central hole, giant vortex

中图分类号:

O469

刘燕, 张素英. 环形势阱中旋转玻色爱因斯坦凝聚体的基态[J]. 计算物理, 2015, 32(6): 744-750.

LIU Yan, ZHANG Suying. Ground States of Rotating Bose-Einstein Condensates in an Annular Trap[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 32(6): 744-750.