量子系统中关联不等式的扩展级数
Extended Series of Correlation Inequalities in Quantum Systems
AI总结：
本文通过Duhamel关联函数谱表示的截断Taylor展开逐阶建立上下界，并结合平方根插值法，导出横场Sherrington-Kirkpatrick模型比自由能的变分解。
摘要：
一项系统性推导给出了量子系统中关联不等式的扩展级数。Duhamel关联函数谱表示的截断Taylor展开中的每一阶都给出其下界和上界。所得关于Duhamel函数的界以及平方根插值方法，使我们能够推导出横场Sherrington-Kirkpatrick模型中比自由能的变分解。
英文摘要：
A systematic derivation provides extended series of correlation inequalities in quantum systems. Each order in truncated Taylor expansion of the spectral representation for the Duhamel correlation function gives its lower and upper bounds. The obtained bound on the Duhamel function and the square root interpolation method enable us to derive a variational solution of specific free energy in the transverse field Sherrington-Kirkpatrick 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。
