Replacing energy by von Neumann entropy in quantum phase transitions

被引：33

作者：

Kopp, Angela ^{[1
]}

Jia, Xun ^{[1
]}

Chakravarty, Sudip ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA

来源：

ANNALS OF PHYSICS | 2007年 / 322卷 / 06期

基金：

美国国家科学基金会;

关键词：

quantum phase transition and criticality; entanglement; dissipative quantum system; Von Neumann entropy; Anderson localization; nonanalyticity of free energy;

D O I：

10.1016/j.aop.2006.08.002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：1466 / 1476

页数：11

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