数学与系统科学研究院

计算数学所学术报告

报告人：        Weizhu Bao

National University of Singapore

报告题目 Numerical Simulation for Bose-Einstein Condensation

Abstract: In this talk, we present efficient and stable numerical methods to compute ground states and dynamics of Bose-Einstein condensates (BEC). As preparatory steps, we take the 3d Gross-Pitaevskii equation (GPE), scale it to obtain a three-parameter model and use an approach well known in the physical literature to reduce it to 2d and 1d GPEs in certain limiting regimes. Two numerical methods are presented to compute the ground and excited states and a time-splitting spectral method is used to solve the time-dependent GPE for dynamics. Then the numerical methods are applied to study collapse and explosion of BEC, as well as stability and interaction of central vortex states in BEC. Comparison of our numerical results and experiment data are also presented.

报告时间：2004年5月14日  上午10：00

报告地点：科技综合楼三层报告厅