• 科學研究
    報告題目:

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

    報告人:

    袁永軍 教授(湖南師范大學)

    報告時間:

    報告地點:

    騰訊會議 ID:309 869 102

    報告摘要:

    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.

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