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arXiv 2201.00176math.PRmath-phmath.MP
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均匀八顶点模型与环面码模型的相关不等式

Correlation inequalities for the uniform 8-vertex model and the toric code model

Jakob E. Björnberg, Benjamin Lees

摘要:

我们阐明了统计物理和概率论中的四个模型之间的联系:(1)Kitaev的Toric代码模型,(2)均匀八顶点模型,(3)超立方体上的随机游动,(4)具有四体相互作用的经典伊辛模型。由于我们的分析(和GKS-不等式的伊辛模型),我们得到的相关不等式的环面代码模型和均匀八顶点模型。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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