Entanglement wedge minimum cross-section in holographic massive gravity theory
Entanglement wedge minimum cross-section in holographic massive gravity theory
复制标题
全息重心理论中的纠缠楔最小截面
DOI：
10.1007/jhep08(2021)113
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Zhang Cheng-Yong
中科院分区：
文献类型：
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作者：
Liu Peng;Niu Chao;Shi Zi-Jian;Zhang Cheng-Yong
本文研究了全息质量引力理论中的纠缠楔截面，其中存在一级和二级相变。我们发现，混合态纠缠度、EWCS和互信息可以很好地表征相变。EWCS和MI在临界区域表现出完全相反的行为，这表明EWCS捕获了与MI不同的自由度。更重要的是，EWCS，MI和HEE在临界区域都表现出相同的标度行为。我们对这一现象进行了分析。通过比较全息超导体热力学相变中的量子信息行为，分析了它们之间的联系和区别，提出了热力学相变中量子信息标度行为的两种机制。
We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information (MI) can characterize the phase transitions. The EWCS and MI show exactly the opposite behavior in the critical region, which suggests that the EWCS captures distinct degrees of freedom from that of the MI. More importantly, EWCS, MI and HEE all show the same scaling behavior in the critical region. We give an analytical understanding of this phenomenon. By comparing the quantum information behavior in the thermodynamic phase transition of holographic superconductors, we analyze the relationship and difference between them and provide two mechanisms of quantum information scaling behavior in the thermodynamic phase transition.