摘要
对偶极玻色-爱因斯坦凝聚体(Bose-Einstein condensate, BEC)在类方势阱中的Bénard-von Kármán涡街现象进行了数值研究.结果表明,当障碍势在BEC中的运动速度与尺寸在适当范围内时,系统中会出现稳定的两列涡旋对阵列,即Bénard-von Kármán涡街.研究了偶极相互作用强弱、障碍势尺寸以及运动速度对尾流中产生的涡旋结构的影响,得到了相图结构.对障碍势所受拖拽力进行计算,分析了涡旋对产生的力学机理.
Bénard-von Kármán vortex street in dipolar Bose-Einstein Condensate(BEC) trapped by a square-like potential is investigated numerically. In the frame of mean-field theory, the nonlinear dynamic of the dipolar BEC can be described by the so-called two-dimensional Gross-Pitaevskii(GP) equation with long-range interaction. In this paper, we only consider the case that all the dipoles are polarized along the z-axis, which is perpendicular to the plane of disc-shaped BEC. Firstly, the stationary state of the BEC is obtained by the imaginary-time propagation approach. Secondly, the nonlinear dynamic of the BEC, when a moving Gaussian potential exists in such a system, is numerically investigated by the time-splitting Fourier spectral method, in which the stationary state obtained before is set to be the initial state.The results show that when the velocity of the cylindrical obstacle potential reaches a critical value, which depends on interaction strength and the shape of the potential, the vortex-antivortex pairs will be generated alternately in the superflow behind the obstacle potential. However, in general, such a vortex-antivortex pair structure is dynamically unstable.When the velocity of the obstacle potential increases to a certain value and for a suitable potential width, a stable vortex structure called Bénard-von Kármán vortex street will be formed. While this phenomenon emerges, the vortices in pairs created by the obstacle potential have the same circulation. The pairs with opposite circulations are alternately released from the moving obstacle potential. For larger potential width and velocity, the shedding pattern becomes irregular.We also numerically investigate the effects of the dipole interaction strength, the width and the velocity of the obstacle potential on the vortex structures arising in the wake flow. As a result, the phase graph is presented by lots of numerical calculations for a group of given physical parameters. Thirdly, the drag force on the obstacle potential is also calculated a
作者
席忠红
杨雪滢
唐娜
宋琳
李晓霖
石玉仁
Xi Zhong-Hong;Yang Xue-Ying;Tang Na;Song Lin;Li Xiao-Lin;Shi Yu-Ren(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China;Key Laboratory of Atomic and Molecular Physics and Functional Material of Gansu Province,Lanzhou 730070,China;College of Physics and Hydropower Engineering,Gansu Normal University for Nationalities,Hezuo 747000,China)
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2018年第23期18-24,共7页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11565021
11047010)
西北师范大学青年教师科研能力提升计划(批准号:NWNU-LKQN-16-3)
甘肃民族师范学院学术带头人
双骨干项目建设计划(批准号:GSNU-SHGG-1806)
甘肃民族师范学院校长基金(批准号:GSNUXM16-44)资助的课题~~
