Thermodynamical Property of Entanglement Entropy for Excited States

被引：210

作者：

Bhattacharya, Jyotirmoy ^{[1
]}

Nozaki, Masahiro ^{[2
]}

Takayanagi, Tadashi ^{[1
,2
]}

Ugajin, Tomonori ^{[1
,2
]}

机构：

[1] Univ Tokyo, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778582, Japan

[2] Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kyoto 6068502, Japan

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 09期

关键词：

D O I：

10.1103/PhysRevLett.110.091602

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We argue that the entanglement entropy for a very small subsystem obeys a property which is analogous to the first law of thermodynamics when we excite the system. In relativistic setups, its effective temperature is proportional to the inverse of the subsystem size. This provides a universal relationship between the energy and the amount of quantum information. We derive the results using holography and confirm them in two-dimensional field theories. We will also comment on an example with negative specific heat and suggest a connection between the second law of thermodynamics and the strong subadditivity of entanglement entropy. DOI: 10.1103/PhysRevLett.110.091602

引用

页数：4

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