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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 13 > No. 5

 
   

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

PP: 725-734
doi:10.18576/amis/130504
Author(s)
Nikolai N. Bogolyubov, Jr., Andrey V. Soldatov,
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.

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