Geometric entropy, area and strong subadditivity

被引：54

作者：

Casini, H ^{[1
]}

机构：

[1] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

来源：

CLASSICAL AND QUANTUM GRAVITY | 2004年 / 21卷 / 09期

关键词：

D O I：

10.1088/0264-9381/21/9/011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a mixed density matrix with non-zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes. Indeed, previous calculations in the context of quantum field theory, where the result is actually ultraviolet divergent, have shown that the geometric entropy is proportional to the area for a very special type of subset. In this work we show that the area law follows in general from simple considerations based on quantum mechanics and relativity. An essential ingredient in our approach is the strong subadditive property of the quantum mechanical entropy.

引用

页码：2351 / 2378

页数：28

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