标题： 量子系统中的相关不等式扩展序列 显示英文标题

标题： Extended Series of Correlation Inequalities in Quantum Systems

摘要： 系统性的推导为量子系统提供了扩展的相关不等式序列。谱表示中杜哈姆尔相关函数截断泰勒展开的每一阶都给出了其上下界。获得的杜哈姆尔函数的界与平方根插值方法使我们能够推导出横场Sherrington-Kirkpatrick模型中特定自由能的变分解。 显示英文摘要

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.