Entanglement temperature in non-conformal cases
Entanglement temperature in non-conformal cases
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DOI：
10.1007/jhep10(2013)142
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发表时间：
2013-08
影响因子：
5.4
通讯作者：
Song He;Danning Li;Jun-bao Wu
中科院分区：
文献类型：
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作者：
Song He;Danning Li;Jun-bao Wu
在Einstein膨胀系统中，一般可以利用bstractPotential重构方法求出各种解析渐近AdS解。我们已经产生了两个简单的解决方案，没有物理奇点称为零温度解决方案。我们还提出了一种数值方法来获得具有特殊Einstein介子势的Einstein介子系统中的黑洞解。利用这种方法，我们数值求解了相应的黑洞解，并通过比较热气体和相应黑洞的自由能，研究了黑洞的热稳定性.在本文得到的两组非共形重力解中，我们发现两个热气解分别比黑洞解更不稳定。最后，我们将黑洞解看作零温度解的热态，从全息的角度验证了纠缠系统中第一热力学定律的存在性。
A bstractPotential reconstruction can be used to find various analytical asymptotical AdS solutions in Einstein dilation system generally. We have generated two simple solutions without physical singularity called zero temperature solutions. We also proposed a numerical way to obtain black hole solution in Einstein dilaton system with special dilaton potential. By using this method, we obtain the corresponding black hole solutions numerically and investigate the thermal stability of the black hole by comparing the free energy of thermal gas and the corresponding black hole. In two groups of non-conformal gravity solutions obtained in this paper, we find that the two thermal gas solutions are more unstable than black hole solutions respectively. Finally, we consider black hole solutions as a thermal state of zero temperature solutions to check that the first thermal dynamical law exists in entanglement system from holographic point of view.