Bose-Einstein condensate near a surface: Quantum field theory of the Casimir-Polder interaction
Bose-Einstein condensate near a surface: Quantum field theory of the Casimir-Polder interaction
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表面附近的玻色-爱因斯坦凝聚：卡西米尔-波尔德相互作用的量子场论
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
C. Henkel
中科院分区：
文献类型：
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作者：
Juergen Schiefele;C. Henkel
通过凝聚态原子与电磁场的耦合，导出了具有平面表面的凝聚态玻色子捕获气体的集体卡西米尔-波尔德相互作用的表达式。基于电磁自能的图解展开，提出了系统摄动理论。在第一阶中，相互作用能的结果与原子数成正比，并涉及捕获气体的单体密度矩阵。与单原子理论相比，在这个顺序下，原子间的相互作用和反冲效应通过原子跃迁能的移动导致修正。我们还讨论了凝聚模式空间离域的影响。
We derive an expression for the collective Casimir-Polder interaction of a trapped gas of condensed bosons with a plane surface through coupling of the condensate atoms with the electromagnetic field. A systematic perturbation theory is developed based on a diagrammatic expansion of the electromagnetic self-energy. In the leading order, the result for the interaction energy is proportional to the number of atoms and involves the one-body density matrix of the trapped gas. At this order, atom-atom interactions and recoil effects lead to corrections compared to the single-atom theory, through shifts of the atomic transition energies. We also discuss the impact of spatial delocalization of the condensate mode.