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

被引：14

作者：

Timofeev, G. M. ^{[1
]}

Trushechkin, A. S. ^{[2
]}

机构：

[1] Moscow Inst Phys & Technol, Inst Skii Pereulok 9, Dolgoprudnyi 141700, Moscow Region, Russia

[2] Russian Acad Sci, Steklov Math Inst, Gubkina Str 8, Moscow 127221, Russia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2022年 / 37卷 / 20-21期

基金：

俄罗斯科学基金会;

关键词：

Open quantum systems; Gibbs state; Hamiltonian of mean force; weak-coupling limit; quantum master equations; POSITIVE DYNAMICAL SEMIGROUPS; MECHANICS;

D O I：

10.1142/S0217751X22430217

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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 analyze 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.

引用

页数：24