一致8顶点模型与环面码模型的相关不等式

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2022-01-01 DOI:10.1142/s0129055x23500290

J. Bjornberg, Benjamin Lees

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引用次数: 0

摘要

我们阐明了统计物理学和概率论中四个模型之间的联系：（1）Kitaev的复曲面编码模型，（2）均匀八顶点模型，（3）超立方体上的随机行走，以及（4）具有三体相互作用的经典Ising模型。作为我们的分析（以及Ising模型的GKS不等式）的结果，我们获得了复曲面代码模型和一致八顶点模型的相关不等式。

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Correlation Inequalities for the Uniform 8-Vertex Model and the Toric Code Model

We elucidate connections between four models in statistical physics and probability theory: (1) the toric code model of Kitaev, (2) the uniform eight-vertex model, (3) random walk on a hypercube, and (4) a classical Ising model with four-body interaction. As a consequence of our analysis (and of the GKS-inequalities for the Ising model) we obtain correlation inequalities for the toric code model and the uniform eight-vertex model.

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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.