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arXiv 2009.01529hep-thgr-qc
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混合态纠缠与热相变

Mixed State Entanglement and Thermal Phase Transitions

Peng Liu, Jian-Pin Wu

备注：
24 pages, 13 figures, References added
发表信息：
Phys. Rev. D 104, 046017 (2021)
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摘要：

研究了混合态纠缠与热相变的关系。作为一个典型的例子，我们计算了超导相变过程中的全息纠缠熵（HEE）、全息互信息（MI）和全息净化纠缠（EoP）。我们发现HEE、MI和EoP都能诊断超导相变。它们在临界点处是连续的，但它们对温度的一阶导数是不连续的。MI随着温度的升高而降低，并表现出凸行为，而HEE随着温度的升高而增加，并表现出凹行为。然而，EoP可以表现出与MI相同或相反的行为，这取决于特定配置的大小。这些结果表明，EoP捕获更丰富的信息比HEE和MI。我们还提供了一个新的算法来计算一般配置的EoP。

英文摘要：

We study the relationship between mixed state entanglement and thermal phase transitions. As a typical example, we compute the holographic entanglement entropy (HEE), holographic mutual information (MI) and the holographic entanglement of purification (EoP) over the superconductivity phase transition. We find that HEE, MI and EoP can all diagnose the superconducting phase transition. They are continuous at the critical point, but their first derivative with respect to temperature is discontinuous. MI decreases with increasing temperature and exhibits a convex behavior, while HEE increases with increasing temperature and exhibits a concave behavior. However, EoP can exhibit either the same or the opposite behavior as MI, depending on the size of the specific configuration. These results show that EoP captures more abundant information than HEE and MI. We also provide a new algorithm to compute the EoP for general configurations.

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