The spatial behavior of rotating two-component Bose–Einstein condensates

The spatial behavior of rotating two-component Bose–Einstein condensates
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DOI:
10.1016/j.jfa.2011.05.017
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发表时间:
2011-09
影响因子:
1.7
通讯作者:
Zuhan Liu
Zuhan Liu
中科院分区:
数学1区
文献类型:
--
作者:
Zuhan Liu

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在理解旋转双组分玻色-爱因斯坦凝聚态相互作用组分的空间行为时,一个中心问题是确定是否发生所有组分的共存,或者种间相互作用是否导致灭绝,即一种或多种密度为零的配置。在本文中,我们证明了物种间相互作用会导致第三维托马斯-费米近似中的灭绝。
In the understanding of the spatial behavior of interacting components of rotating two-component Bose–Einstein condensates, a central problem is to establish whether coexistence of all the components occurs, or the interspecies interaction leads to extinction, that is, configurations where one or more densities are null. In this paper, we prove that the interspecies interaction leads to extinction in the Thomas–Fermi approximation in dimension three.