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arXiv 2011.11076cond-mat.quant-gashep-th
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相互作用玻色-爱因斯坦凝聚体中的空间纠缠

Spatial entanglement in interacting Bose-Einstein condensates

N. Sánchez-Kuntz, S. Floerchinger

摘要:

利用量子场论方法研究了相互作用玻色-爱因斯坦凝聚体中空间区域间的纠缠。与愈合长度相比小的区域由真空极限中的非相对论性量子场论控制,并且我们表明后者具有消失的纠缠。在与愈合长度相比较大的区域的相反极限中,纠缠熵就像在相对论理论的真空中,其中光速被声速取代,并且反向愈合长度提供了自然的紫外正则化尺度。除了von Neumann纠缠熵外,我们还计算了一维准凝聚体的Rényi纠缠熵。

英文摘要:

The entanglement between spatial regions in an interacting Bose-Einstein condensate is investigated using a quantum field theoretic formalism. Regions that are small compared to the healing length are governed by a non-relativistic quantum field theory in the vacuum limit, and we show that the latter has vanishing entanglement. In the opposite limit of a region that is large compared to the healing length, the entanglement entropy is like in the vacuum of a relativistic theory where the velocity of light is replaced with the velocity of sound and where the inverse healing length provides a natural ultraviolet regularization scale. Besides the von Neumann entanglement entropy, we also calculate Rényi entanglement entropies for a one-dimensional quasi-condensate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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