Dynamic splitting of a Bose-Einstein Condensate
Dynamic splitting of a Bose-Einstein Condensate
复制标题
玻色-爱因斯坦凝聚态的动态分裂
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
P.Zoller
中科院分区：
文献类型：
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作者：
C.Menotti;J.R.Anglin;J.I.Cirac;P.Zoller
我们通过在谐波陷阱中心增加势垒来研究分裂冷凝物的动态过程。我们使用双模模型来描述两半凝聚态之间的相位相干性。此外，我们明确考虑了模式函数的空间依赖性，该依赖性根据势垒而变化。这允许获得两个井之间的隧道耦合和现场能量作为势垒高度的函数。此外，我们还可以了解通过提高障碍而激发的集体模式。我们通过变分拟似法来描述内部和外部自由度。我们将可能的状态区分为问题特征参数的函数，并确定绝热条件。
We study the dynamic process of splitting a condensate by raising a potential barrier in the center of a harmonic trap. We use a two-mode model to describe the phase coherence between the two halves of the condensate. Furthermore, we explicitly consider the spatial dependence of the mode funtions, which varies depending on the potential barrier. This allows to get the tunneling coupling between the two wells and the on-site energy as a function of the barrier height. Moreover we can get some insight on the collective modes which are excited by raising the barrier. We describe the internal and external degrees of freedom by variational ansatz. We distinguish the possible regimes as a function of the characteristic parameters of the problem and identify the adiabaticity conditions.