谐振子势与四次方势的联合势阱中旋转BEC的基态  

The Ground States of Rotating Bose-Einstein Condensates in a Harmonic Plus Quartic Trap

作　　者：李平 LI Ping(Departmemt of Science,Shanxi Jinzhong Institute of Technology,Jinzhong 030600,China)

机构地区：[1]山西晋中理工学院理学教研部,山西晋中030600

出　　处：《忻州师范学院学报》2022年第2期11-14,共4页Journal of Xinzhou Teachers University

摘　　要：应用托马斯—费米近似解析求解谐振子势与四次方势的联合势阱中的旋转玻色爱因斯坦凝聚体的基态密度分布。当旋转角频率一定,增加势阱的宽度和中心高度或者势阱宽度和中心高度一定时,凝聚体密度分布从涡旋晶格相转变到巨涡旋相。进而,应用虚时演化和时间傅里叶赝谱法进行数值求解,发现数值解与解析解相互吻合。The Thomas-Fermi approximation is used to obtain the ground states of rotating Bose-Einstein condensates in a harmonic plus quartic trap.The ground state density profiles of the condensate can experience a transition from the vortex lattice phase to giant vortex phase with the increase of the width and the center height of the trap potential when the angular frequency is fixed.Then, the imaginary-time propagation method and the time-splitting Fourier pseudo-spectrum method are used to solve the mumerical problem.It is found that the numerical solution is consistent with the analytical solution.

关 键 词：托马斯—费米近似 中心洞 巨涡旋 

分 类 号：O411.1[理学—理论物理]