Holographic approach to entanglement entropy in disordered systems
Holographic approach to entanglement entropy in disordered systems
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DOI：
10.1103/physrevd.99.046019
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发表时间：
2018-03
影响因子：
5
通讯作者：
R. Narayanan;Chanyong Park;Yun-Long Zhang
中科院分区：
文献类型：
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作者：
R. Narayanan;Chanyong Park;Yun-Long Zhang
我们用全息方法研究了二维无序系统的纠缠熵。特别地，我们研究了受弱无序扰动的UV不动点共形理论到IR不动点Lifshitz理论的纠缠熵沿重整化群流的演化。通过数值拟合，我们发现无序关联导致纠缠熵中的次导数幂定律项在IR不动点消失。有趣的是，控制次要项的幂定律消失的指数似乎几乎是通用的，因为它非常弱地依赖于无序的强度。通过定义一个沿RG流递减的有效中心电荷，我们证明了我们的结果可以放在c-定理的背景下。我们还通过研究全息互信息研究了无序诱导的两个子系统之间的长程关联。
We investigate the entanglement entropy of a two-dimensional disordered system holographically. In particular, we study the evolution of the entanglement entropy along renormalization group flows for a conformal theory at the UV fixed point, that is perturbed by weak disorder into a Lifshitz theory at the IR fixed point. Through numerical fitting, we find that the disorder correlations leads to a sub-leading power-law term in the entanglement entropy that vanishes at the IR fixed point. Interestingly, the exponent that controls the power-law vanishing of the sub-leading term seems to be almost universal as it depends very weakly on the strength of the disorder. We show that our results can be put in the context of the c-theorem by defining an effective central charge that decreases along the RG flow. We also investigate disorder induced long-range correlations between the two subsystems by studying the holographic mutual information.