arXiv 0811.12882008-11-08quant-ph

Klein-Gordon场中的临界和非临界长程纠缠

Critical and noncritical long range entanglement in the Klein-Gordon field

S. Marcovitch, A. Retzker, M. B. Plenio, B. Reznik

发表信息：: Phys. Rev. A 80, 012325 (2009)
DOI：: 10.1103/PhysRevA.80.012325

摘要：

研究了一维自由Klein-Gordon场真空态中两个分离段之间的纠缠，在线性谐振链的连续极限下进行了显式计算.我们表明，纠缠，我们衡量的对数负，是有限的，没有进一步的重整化需要。我们发现量子关联的衰减速度比经典关联快得多，因为在临界极限下，当分离大于段的尺寸时，长程纠缠呈指数衰减。当两个片段彼此靠近时，纠缠度按幂律发散。非临界状态表现出更丰富的行为，因为纠缠依赖于片段的大小和它们的分离。对应于冯诺伊曼熵，长程纠缠也区分了临界和非临界系统。

英文摘要：

We investigate the entanglement between two separated segments in the vacuum state of a free 1D Klein-Gordon field, where explicit computations are performed in the continuum limit of the linear harmonic chain. We show that the entanglement, which we measure by the logarithmic negativity, is finite with no further need for renormalization. We find that the quantum correlations decay much faster than the classical correlations as in the critical limit long range entanglement decays exponentially for separations larger than the size of the segments. As the segments become closer to each other the entanglement diverges as a power law. The noncritical regime manifests richer behavior, as the entanglement depends both on the size of the segments and on their separation. In correspondence with the von Neumann entropy long-range entanglement also distinguishes critical from noncritical systems.

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。

摘要：

英文摘要：

相关论文