环形势阱中两分量BEC为相混合态的基态特性  

The Ground Stateproperties of Two-Component Miscible Bose-Einstein Condensates in Annular Trap

作　　者：李平 LI Ping(College of Information and Business,North University of China,Jinzhong 030600,China)

机构地区：[1]中北大学信息商务学院,山西晋中030600

出　　处：《忻州师范学院学报》2020年第5期24-29,共6页Journal of Xinzhou Teachers University

摘　　要：应用托马斯-费米近似与运用虚时演化和时间劈裂傅里叶赝谱法研究处于旋转的环形势阱中两分量玻色爱因斯坦凝聚体(BEC)为相混合态的基态特性。首先,应用托马斯-费米近似得到每组分密度从圆盘变成圆环的临界旋转角频率,通过比较旋转角频率与临界角频率的大小,凝聚体基态呈现出不同的密度分布:当两组分内部相互作用强度不相等时,凝聚体基态呈现三种不同的密度分布;当两组分内部相互作用强度相等时,凝聚体基态呈现两种不同的密度分布。其次,运用虚时演化和时间劈裂傅里叶赝谱法数值模拟得到两分量凝聚体的基态密度分布,以及以旋转角频率和相互作用强度展开的相图,发现数值解与解析解一致。The ground state of two-component miscible Bose-Einstein condensates(BECs)conned in rotating an annular trap areobtained by using the Thomas-Fermi approximation method and the imaginary-time propagation method and the time-splitting Fourier pseudo-spectrum method.Firstly,the critical rotation angular frequency of each component density from disk to ring is given by using the Thomas-Fermi approximation method,the ground state of the condensate presents presents different density distributions by comparing the rotation angular frequency with the critical angular frequency:when the inter-component interaction strength of two components is not equal,the ground state of the condensate presents three different density distributions.When the inter-component interaction strength of two components is equal,the ground state of the condensate presents two different density distributions.Secondly,thenumerical solutions of the ground state and the phase diagram expanded by the rotational angular frequency and the inter-componentinteraction strength are obtained by using the imaginary-time propagation method and the time-splitting Fourier pseudo-spectrummethod.Finally,the numerical solution is consistent with the analytical solution.

关 键 词：环形势阱 基态 玻色爱因斯坦凝聚体 

分 类 号：O4[理学—物理]