Geodesic
On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems
Informatics and Automation, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 144-161

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

We develop a consistent perturbative technique for obtaining a time-local linear master equation based on projection methods in the case where the projection operator depends on time. Then we introduce a generalization of the Kawasaki–Gunton projection operator, which allows us to use this technique to derive, generally speaking, nonlinear master equations in the case of arbitrary ansatzes consistent with some set of observables. Most of the results obtained are of a very general nature, but when discussing them, we put emphasis on the application of these results to the theory of open quantum systems.
Keywords: open quantum system, quantum master equation
Mots-clés : projection formalism. 
@article{TRSPY_2024_324_a13,
     author = {Kh. Sh. Meretukov and A. E. Teretenkov},
     title = {On {Time-Dependent} {Projectors} and a {Generalization} of the {Thermodynamical} {Approach} in the {Theory} of {Open} {Quantum} {Systems}},
     journal = {Informatics and Automation},
     pages = {144--161},
     publisher = {mathdoc},
     volume = {324},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2024_324_a13/}
}
TY  - JOUR
AU  - Kh. Sh. Meretukov
AU  - A. E. Teretenkov
TI  - On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems
JO  - Informatics and Automation
PY  - 2024
SP  - 144
EP  - 161
VL  - 324
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2024_324_a13/
LA  - ru
ID  - TRSPY_2024_324_a13
ER  - 
%0 Journal Article
%A Kh. Sh. Meretukov
%A A. E. Teretenkov
%T On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems
%J Informatics and Automation
%D 2024
%P 144-161
%V 324
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2024_324_a13/
%G ru
%F TRSPY_2024_324_a13
Kh. Sh. Meretukov; A. E. Teretenkov. On Time-Dependent Projectors and a Generalization of the Thermodynamical Approach in the Theory of Open Quantum Systems. Informatics and Automation, Noncommutative Analysis and Quantum Information Theory, Tome 324 (2024), pp. 144-161. http://geodesic.mathdoc.fr/item/TRSPY_2024_324_a13/