旋转二维光晶格中玻色-爱因斯坦凝聚体量子涡旋研究

J4 ›› 2016, Vol. 33 ›› Issue (6): 697-703.

旋转二维光晶格中玻色-爱因斯坦凝聚体量子涡旋研究

季程超,徐志君

浙江工业大学应用物理系, 浙江杭州 310023

收稿日期:2015-10-08 修回日期:2016-01-22 出版日期:2016-11-28 发布日期:2016-11-28
通讯作者: 徐志君（1963—），丽水人，硕士，教授，主要从事原子光学方面的研究和教学工作. E-mail:xzj@zjut.edu.cn
基金资助:
Supported by Natural Science Foundation of Zhejiang Province（浙江省自然科学基金，LY13A040004）

Quantum vortex of Bose-Einstein condensate in a rotating two-dimensional optical lattice

JI Chengchao，XU Zhijun

Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China

Received:2015-10-08 Revised:2016-01-22 Published:2016-11-28 Online:2016-11-28

摘要/Abstract

摘要： 基于Gross–Pitaevskii(G-P)方程的数值模拟，研究了旋转二维光晶格中玻色-爱因斯坦凝聚气体量子涡旋的动力学性质,分析了光晶格常数d、光晶格深度对量子涡旋的影响。结果表明：随增加量子涡旋形成过程变快，通过计算系统自由能随时间的演化分析了这一动力学行为的物理本质；大于50时出现针钉效应，即量子涡旋被光晶格固定在势能极值点；d大于2.7dc（dc为临界常数）时出现涡旋-反涡旋对。

关键词: 量子光学；量子涡旋；Gross-Pitaevskii方程；临界光晶格常数

Abstract: Based on numerical simulation of the Gross–Pitaevskii(G-P) equation, the dynamical properties of Bose–Einstein condensed gas quantum vortex in a rotating two-dimensional optical lattice are investigated. Influences of optical lattice constant d and optical lattice depth on quantum vortex are analyzed. Results show that the formation process of quantum vortex becomes faster with increasing of . The physical essence of this dynamic behavior is analyzed by calculating the evolution of system free energy with time. When is more than 50, there is pinning effect. That is to say, the quantum vortex is fixed on the extreme point of potential energy by optical lattice. When d is greater than 2.7dc (dc is the critical constant), the vortex-antivortex pairs are found.

Key words: quantum optics; quantum vortex; Gross-Pitaevskii equation; critical optical lattice constant

中图分类号:

O431.2

季程超徐志君. 旋转二维光晶格中玻色-爱因斯坦凝聚体量子涡旋研究 [J]. J4, 2016, 33(6): 697-703.

JI Chengchao，XU Zhijun. Quantum vortex of Bose-Einstein condensate in a rotating two-dimensional optical lattice[J]. J4, 2016, 33(6): 697-703.

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