Phase transition of holographic entanglement entropy in massive gravity

Phase transition of holographic entanglement entropy in massive gravity
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大重力下全息纠缠熵的相变

DOI:
10.1016/j.physletb.2016.03.013
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发表时间:
2015-11
期刊:
影响因子:
4.4
通讯作者:
Li Li-Fang
Li Li-Fang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zeng Xiao-Xiong;Zhang Hongbao;Li Li-Fang

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研究了质量引力下有限体积和无限体积量子系统的全息纠缠熵的相结构,其实质是分别计算黑洞和黑膜的最小表面积。在纠缠熵-温度平面,我们发现黑洞和黑膜都存在与热熵-温度平面类似的Van der Waals相变。也就是说,小电荷存在一级相变,临界电荷存在二级相变。对于一级相变,验证了等面积定律,对于二级相变,得到了临界热容指数。结果表明,无论边界上时空的体积大小,全息纠缠熵的相结构与热熵的相结构是相同的。
The phase structure of holographic entanglement entropy is studied in massive gravity for the quantum systems with finite and infinite volumes, which in the bulk is dual to calculating the minimal surface area for a black hole and black brane respectively. In the entanglement entropy–temperature plane, we find for both the black hole and black brane there is a Van der Waals-like phase transition as the case in thermal entropy–temperature plane. That is, there is a first order phase transition for the small charge and a second order phase transition at the critical charge. For the first order phase transition, the equal area law is checked and for the second order phase transition, the critical exponent of the heat capacity is obtained. All the results show that the phase structure of holographic entanglement entropy is the same as that of thermal entropy regardless of the volume of the spacetime on the boundary.
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