论文标题
相互作用的玻色网凝结物中的空间纠缠
Spatial entanglement in interacting Bose-Einstein condensates
论文作者
论文摘要
使用量子场理论形式主义研究了相互作用的Bose-Einstein冷凝物中空间区域之间的纠缠。与愈合长度相比，很小的区域受真空限制中非相关量子场理论的控制，我们表明后者的纠缠消失了。在与愈合长度相比的区域相反的限制中，纠缠熵就像在相对论理论的真空中，光速被声音的速度替换为声音的速度，而逆愈合长度则提供了天然的紫外线正则化量表。除了冯·诺伊曼（Von Neumann）纠缠熵外，我们还计算了一维准键合酸盐的rényi纠缠熵。
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.
