带整体单极子黑洞背景下纠缠熵的相变

Holographic thermalization in the background with conformal anomaly corrected black holes

在带整体单极子黑洞背景下,研究了热力学熵和纠缠熵的相变.结果表明,在熵-温度平面,热力学熵与纠缠熵具有完全类似的相结构.当黑洞电荷很小时,相变是一阶相变;当电荷增大到临界电荷时,相变是二阶相变.对于热力学熵和纠缠熵的一阶相变,发现麦克斯韦的等面积法则始终成立,对于热力学熵和纠缠熵的二阶相变,得到了相变点附近热容的临界指数,这一值和平均场论得到的值近似相等.

In the background for a black hole with a global monopole, we investigate the phase transition of thermodynamic entropy and entanglement entropy. The result shows that in the entropy temperature plane, the thermodynanuc entropy and entan- glement entropy have the same phase structure completely. For the small charge, the phase transition is first order, and as the charge grows to the critical charge, the phase transition is second order. For the first order phase transition of thermody- namic entropy and entanglement entropy, we find Maxwell＇s equal area law holds always, and for the second order phase transition of thermodynamic entropy and entanglement entropy, we obtain the critical exponent of heat capacity near the critical point, which is consistent with that obtained from the mean field theory.