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This article is cited in 15 scientific papers (total in 15 papers)
Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method
A. S. Trushechkin Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
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.
Received: September 6, 2020 Revised: November 28, 2020 Accepted: March 10, 2021
Citation:
A. S. Trushechkin, “Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 263–274; Proc. Steklov Inst. Math., 313 (2021), 246–257
Linking options:
https://www.mathnet.ru/eng/tm4184https://doi.org/10.4213/tm4184 https://www.mathnet.ru/eng/tm/v313/p263
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Abstract page: | 272 | Full-text PDF : | 99 | References: | 34 | First page: | 7 |
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