Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems

DOI10.1142/S0217979218500443zbMath1447.81148OpenAlexW2761177411MaRDI QIDQ5242100

A. V. Soldatov, Nikolai N. jun. Bogoliubov

Publication date: 5 November 2019

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979218500443

zbMATH Keywords

orthogonal polynomialscorrelation functionoperator algebramaster equationprojection operatoropen systemreduced density operatormulti-level quantum system

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Atomic physics (81V45) Operator algebra methods applied to problems in quantum theory (81R15) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

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• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• SU(1,1) Lie algebraic approach to linear dissipative processes in quantum optics