【6月19日】数学学术讲座
信息来源：统计与数学学院
作者：统计与数学学院
发布时间：2018-06-19
报告地点： 云南财经大学北院卓远楼 307会议室
报告时间： 2018年6月19日星期二下午16:00-17:00点
报告人：唐庆粦 特聘研究员（四川大学数学学院）
报告题目: Computing ground states of spin 2 Bose-Einstein condensates by the normalized gradient flow
报告摘要: In this talk, an efficient and accurate numerical method will be proposed to compute the ground state of spin-2 Bose-Einstein condensates (BECs) by using the normalized gradient flow (NGF) or imaginary time method (ITM). The key idea is twofold. One is to find the five projection or normalization conditions that are used in the projection step of NGF/ITM, while the other one is to find a good initial data for the NGF/ITM. Based on the relations between chemical potentials and the two physical constraints given by the conservation of the total mass and magnetization, these five projection or normalization conditions can be completely and uniquely solved out. This allows one to successfully extend the NGF/ITM to compute the ground state of spin-2 BECs. Additionally, the structures and properties of the ground states in a uniform system are analyzed so as to construct efficient initial data for NGF/ITM. Numerical results will be reported to show the efficiency of our method and to demonstrate some interesting physical phenomena.
报告人唐庆粦特聘研究员简单介绍见：
http://math.scu.edu.cn/info/1013/3088.htm
报告时间： 2018年6月19日星期二下午16:00-17:00点
报告人：唐庆粦 特聘研究员（四川大学数学学院）
报告题目: Computing ground states of spin 2 Bose-Einstein condensates by the normalized gradient flow
报告摘要: In this talk, an efficient and accurate numerical method will be proposed to compute the ground state of spin-2 Bose-Einstein condensates (BECs) by using the normalized gradient flow (NGF) or imaginary time method (ITM). The key idea is twofold. One is to find the five projection or normalization conditions that are used in the projection step of NGF/ITM, while the other one is to find a good initial data for the NGF/ITM. Based on the relations between chemical potentials and the two physical constraints given by the conservation of the total mass and magnetization, these five projection or normalization conditions can be completely and uniquely solved out. This allows one to successfully extend the NGF/ITM to compute the ground state of spin-2 BECs. Additionally, the structures and properties of the ground states in a uniform system are analyzed so as to construct efficient initial data for NGF/ITM. Numerical results will be reported to show the efficiency of our method and to demonstrate some interesting physical phenomena.
报告人唐庆粦特聘研究员简单介绍见：
http://math.scu.edu.cn/info/1013/3088.htm
