Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates

Time-splitting Galerkin method for spin-orbit-coupled Bose-Einstein condensates
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自旋轨道耦合玻色-爱因斯坦凝聚态的时分伽辽金法

DOI:
10.1016/j.camwa.2021.02.009
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发表时间:
2021
影响因子:
2.9
通讯作者:
Liquan Mei
Liquan Mei
中科院分区:
数学2区
文献类型:
--
作者:
Yali Gao;Liquan Mei

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In this paper, we develop a time-splitting method to investigate the evolution of the spin–orbit-coupled Bose–Einstein condensates. The fully discrete scheme is constructed by combining the second-order time-splitting method for temporal discretization and the framework of Galerkin finite element method for spatial discretization. Ample numerical simulations are performed to validate the features of the designed numerical method, including the optimal order of error norms, the conservation law and the center-of-mass. Moreover, the interaction of waves with typical trapping potentials in two and three dimensions is numerically simulated.
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