Geodesic
Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method
Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 263-274

Voir la notice de l'article provenant de la source Math-Net.Ru

Following the ideas N. N. Bogoliubov used to derive the classical and quantum nonlinear kinetic equations, we derive the Redfield quantum linear master equation, which is widely used in the theory of open quantum systems. This method allows one to calculate the joint state of a system and a reservoir at every instant of time, as well as to obtain quantum master equations as autonomous differential equations in an arbitrary order of perturbation theory. We prove that under certain conditions the expressions for the corrections of all orders are well defined. We also discuss the question of whether the quantum dynamics described by the derived quantum master equations is Markovian. 
@article{TRSPY_2021_313_a21,
     author = {A. S. Trushechkin},
     title = {Derivation of the {Redfield} {Quantum} {Master} {Equation} and {Corrections} to {It} by the {Bogoliubov} {Method}},
     journal = {Informatics and Automation},
     pages = {263--274},
     publisher = {mathdoc},
     volume = {313},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a21/}
}
TY  - JOUR
AU  - A. S. Trushechkin
TI  - Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method
JO  - Informatics and Automation
PY  - 2021
SP  - 263
EP  - 274
VL  - 313
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a21/
LA  - ru
ID  - TRSPY_2021_313_a21
ER  - 
%0 Journal Article
%A A. S. Trushechkin
%T Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method
%J Informatics and Automation
%D 2021
%P 263-274
%V 313
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a21/
%G ru
%F TRSPY_2021_313_a21
A. S. Trushechkin. Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method. Informatics and Automation, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 263-274. http://geodesic.mathdoc.fr/item/TRSPY_2021_313_a21/