Holographic entanglement entropy: an overview
Holographic entanglement entropy: an overview
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DOI：
10.1088/1751-8113/42/50/504008
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发表时间：
2009-05
期刊：
影响因子：
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通讯作者：
T. Nishioka;S. Ryu;T. Takayanagi
中科院分区：
文献类型：
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作者：
T. Nishioka;S. Ryu;T. Takayanagi
本文综述了反德西特空间/共形场论（AdS/CFT）对应中纠缠熵的全息理解的最新进展。一般来说，AdS/CFT将强耦合量子多体系统中的物理观测量与引力加物质理论中的某些经典量联系起来。在我们的全息纠缠熵的情况下，它的引力对偶是纯粹的几何，即AdS空间中最小面积表面的面积。其中一个有趣的应用是将纠缠熵作为序参量来研究各种相变。事实上，我们将看到，我们的全息计算很好地再现了禁闭/解除禁闭的转变。我们的结果也可以应用于理解黑洞熵的微观起源。
In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the AdS/CFT relates physical observables in strongly coupled quantum many-body systems to certain classical quantities in gravity plus matter theories. In the case of our holographic entanglement entropy, its gravity dual turns out to be purely geometric, i.e. the area of minimal area surfaces in AdS spaces. One interesting application is to study various phase transitions by regarding the entanglement entropy as order parameters. Indeed we will see that our holographic calculations nicely reproduce the confinement/deconfinement transition. Our results can also be applied to understanding the microscopic origins of black hole entropy.