摘要翻译：
全息原理表明，在基本层面上，一个区域的信息含量应该取决于它的表面积，而不是它的体积。这个反直觉的想法源于黑洞熵的非广泛性，它是探索普朗克尺度物理基本定律的指导原则。在本文中，我们证明了经典物理和量子物理的既定定律中也会出现类似的现象：处于热平衡状态的体系中的一部分所包含的信息服从面积定律。虽然单位面积上的最大信息量只依赖于微观自由度的数量，但在量子系统中，它可能会随着温度的反比而发散。本文建立了面积定律与关联的严格关系，揭示了它们在平衡系统之外的一大类量子多体态中的显式行为。
---
英文标题：
《Area laws in quantum systems: mutual information and correlations》
---
作者：
M.M. Wolf, F. Verstraete, M.B. Hastings, J.I. Cirac
---
最新提交年份：
2008
---
分类信息：

一级分类：Physics        物理学
二级分类：Quantum Physics        量子物理学
分类描述：Description coming soon
描述即将到来
--
一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

---
英文摘要：
  The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive idea which has its roots in the nonextensive nature of black-hole entropy serves as a guiding principle in the search for the fundamental laws of Planck-scale physics. In this paper we show that a similar phenomenon emerges from the established laws of classical and quantum physics: the information contained in part of a system in thermal equilibrium obeys an area law. While the maximal information per unit area depends classically only on the number of microscopic degrees of freedom, it may diverge as the inverse temperature in quantum systems. A rigorous relation between area laws and correlations is established and their explicit behavior is revealed for a large class of quantum many-body states beyond equilibrium systems.
---
PDF链接：
https://arxiv.org/pdf/704.3906