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arXiv 1802.01699gr-qchep-thquant-ph
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宇宙弦时空中原子间共振能量的类边界行为

Boundarylike behaviors of the resonance interatomic energy in a cosmic string spacetime

Wenting Zhou, Hongwei Yu

摘要:

通过推广Dalibard,Dupont-Roc和Cohen Tannoudji提出的形式,研究了Minkowski时空和宇宙弦时空中两个全同原子与无质量标量场在对称/反对称纠缠态下的共振原子间能量.我们发现,在这两个时空中,原子间的共振能量与场的涨落无关,而只归因于原子的辐射反应。然后,我们具体计算了两个静态原子分别在闵可夫斯基时空中的完美反射边界附近和无限直宇宙弦附近的共振原子间能量。结果表明,与无界闵可夫斯基时空相比,由于闵可夫斯基时空中边界的存在或宇宙弦的非平凡时空拓扑结构,这两种情况下的原子间共振能都可以被增强或抑制,甚至被抵消.此外,我们还发现宇宙弦时空中的共振原子间能具有一些特殊的性质,这使得通过共振原子间能来感知不同的宇宙弦时空在原理上是可能的。

英文摘要:

By generalizing the formalism proposed by Dalibard, Dupont-Roc and Cohen Tannoudji, we study the resonance interatomic energy of two identical atoms coupled to quantum massless scalar fields in a symmetric /antisymmetric entangled state in the Minkowski and cosmic string spacetimes. We find that in both spacetimes, the resonance interatomic energy has nothing to do with the field fluctuations but is attributed to the radiation reaction of the atoms only. We then concretely calculate the resonance interatomic energy of two static atoms near a perfectly reflecting boundary in the Minkowski spacetime and near an infinite and straight cosmic string respectively. We show that the resonance interatomic energy in both cases can be enhanced or suppressed and even nullified as compared with that in an unbounded Minkowski spacetime, because of the presence of the boundary in the Minkowski spacetime or the nontrivial spacetime topological structure of the cosmic string. Besides, we also discover that the resonance interatomic energy in the cosmic string spacetime exhibits some peculiar properties, making it in principle possible to sense different cosmic string spacetimes via the resonance interatomic energy.

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