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科学研究
报告题目:

Computing ground states of spin-2 Bose-Einstein condensates by the normalized gradient flow

报告人:

袁永军 教授(湖南师范大学)

报告时间:

报告地点:

腾讯会议 ID:309 869 102

报告摘要:

In this talk, an efficient and accurate numerical method is 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 to find three additional projection or normalization conditions based on the relations between chemical potentials for the five projection parameters used in the projection step of the NGF. Hence, together with the two other physical constrains given by the conservation of the total mass and magnetization, these five projection parameters can be uniquely determined. The backward-forward finite difference method is then proposed to discretize the resulted NGF/ITM. Extensive numerical results on ground states of spin-2 BECs with ferromagnetic/nematic/cyclic interaction and harmonic/optical lattice/box potential in one/two dimensions are reported to show the efficiency of our method and to demonstrate some interesting physical phenomena.