The Phase Diagram of the Quantum Curie-Weiss Model

被引：0

作者：

Lincoln Chayes

Nicholas Crawford

Dmitry Ioffe

Anna Levit

机构：

[1] University of California at Los Angeles,Department of Mathematics

[2] University of California at Berkeley,Department of Statistics

[3] The Technion,Department of Industrial Engineering

来源：

Journal of Statistical Physics | 2008年 / 133卷

关键词：

Quantum spin systems; Phase diagrams; Mean field theory; Large deviations; Random current representation; Ising model; Feynman-Kac transformation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper studies a generalization of the Curie-Weiss model (the Ising model on a complete graph) to quantum mechanics. Using a natural probabilistic representation of this model, we give a complete picture of the phase diagram of the model in the parameters of inverse temperature and transverse field strength. Further analysis computes the critical exponent for the vanishing of the order parameter in the approach to the critical curve and gives useful stability properties for a variational problem associated with the representation.

引用

共 24 条

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