Ground state overlap and quantum phase transitions

被引：681

作者：

Zanardi, Paolo ^{[1
]}

Paunkovic, Nikola ^{[1
]}

机构：

[1] ISI, I-10133 Turin, Italy

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.74.031123

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a characterization of quantum phase transitions in terms of the the overlap function between two ground states obtained for two different values of external parameters. On the examples of the Dicke and XY models, we show that the regions of criticality of a system are marked by the extremal points of the overlap and functions closely related to it. Further, we discuss the connections between this approach and the Anderson orthogonality catastrophe as well as with the dynamical study of the Loschmidt echo for critical systems.

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页数：6

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