Characterization of quantum phase transition using holographic entanglement entropy
Characterization of quantum phase transition using holographic entanglement entropy
复制标题
使用全息纠缠熵表征量子相变
DOI：
10.1103/physrevd.93.126004
复制
发表时间：
2016-04
影响因子：
5
通讯作者：
Wu, Jian-Pin
中科院分区：
文献类型：
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作者：
Ling, Yi;Liu, Peng;Wu, Jian-Pin
在许多凝聚态模型中，量子纠缠在量子临界点（QCP）附近表现出极端或奇异的行为。然而，这些有趣的现象仍然需要一个广泛接受的理解。在本文中，我们研究这个问题的全息框架。研究了晶格形变Einstein-Maxwell-Dilaton理论中全息纠缠熵与量子相变之间的关系。新的背景显示金属-绝缘体转变（MIT）已被构造，其中金属相和绝缘相都具有零温度极限的熵密度消失。我们发现HEE对晶格参数的一阶导数在QCP附近表现出极值行为。我们建议，这将是一个普遍的特点，HEE或其衍生物相对于系统参数可以表征QPT在一个通用的全息系统。我们的工作为从全息的角度理解量子纠缠与量子点转移之间的关系打开了一扇窗。
The entanglement exhibits extremal or singular behavior near quantum critical points (QCPs) in many condensed matter models. These intriguing phenomena, however, still call for a widely accepted understanding. In this paper we study this issue in holographic framework. We investigate the connection between the holographic entanglement entropy (HEE) and the quantum phase transition (QPT) in a lattice-deformed Einstein-Maxwell-Dilaton theory. Novel backgrounds exhibiting metal-insulator transitions (MIT) have been constructed in which both metallic phase and insulating phase have vanishing entropy density in zero temperature limit. We find that the first order derivative of HEE with respect to lattice parameters exhibits extremal behavior near QCPs. We propose that it would be a universal feature that HEE or its derivatives with respect to system parameters can characterize QPT in a generic holographic system. Our work opens a window for understanding the relation between entanglement and the QPT from a holographic perspective.
DOI：
10.1017/cbo9780511973765
发表时间：
1999-04
期刊：
--
影响因子：
--
作者：
Subir Sachdev
通讯作者：
Subir Sachdev