论文标题

在弱耦合和高温近似和精制量子主方程中,平均力的哈密顿量

Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations

论文作者

Timofeev, Grigorii, Trushechkin, Anton

论文摘要

平均力量的哈密顿量是一个广泛使用的概念,用于描述量子系统的常规吉布斯状态的修改,该量子系统与热浴的耦合强度不可忽略。在这里,我们在弱耦合近似和高温耦合近似中的均值呈扰动性得出平均力的一般近似表达式。我们通过数值分析相应表达式的准确性,并表明,如果我们用平均力的哈密顿量替换原始系统的哈密顿量,则可以提高Bloch-Redfield Equantum Master方程的精度。

The Hamiltonian of mean force is a widely used concept to describe the modification of the usual canonical Gibbs state for a quantum system whose coupling strength with the thermal bath is non-negligible. Here we perturbatively derive general approximate expressions for the Hamiltonians of mean force in the weak-coupling approximation and in the high-temperature one. We numerically analyse the accuracy of the corresponding expressions and show that the precision of the Bloch-Redfield equantum master equation can be improved if we replace the original system Hamiltonian by the Hamiltonian of mean force.

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