Time-Convolutionless Master Equation for Multi-Level Open Quantum Systems with Initial System-Environment Correlations

Authors

Nikolai N. Bogolyubov, Jr., Department of Mechanics, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St., Moscow 119991, RussiaFollow
Andrey V. Soldatov, Department of Mechanics, Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkina St., Moscow 119991, RussiaFollow

Author Country (or Countries)

Russia

Abstract

Being closed and homogeneous in the reduced statistical operator, exact and approximate time-convolutionless differential master equations are derived by means of the projection operator method for the reduced statistical operator of a multi-level quantum system with finite number N of quantum energy eigenstates interacting with arbitrary external deterministic fields and dissipative environment simultaneously. Despite being homogeneous, these equations take into account initial correlations between the multi-level system and the environment.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/130504

Recommended Citation

N. Bogolyubov, Jr., Nikolai and V. Soldatov, Andrey (2019) "Time-Convolutionless Master Equation for Multi-Level Open Quantum Systems with Initial System-Environment Correlations," Applied Mathematics & Information Sciences: Vol. 13: Iss. 5, Article 4.
DOI: http://dx.doi.org/10.18576/amis/130504
Available at: https://digitalcommons.aaru.edu.jo/amis/vol13/iss5/4