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 Trudy Mat. Inst. Steklova, 2021, Volume 313, Pages 253–262 (Mi tm4160)

An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations

A. E. Teretenkov

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: A simple example of completely positive dynamics is considered for which both the generator of a nonlocal integro-differential equation leading to such dynamics and the time-local generator can be calculated explicitly. It is demonstrated that introducing a small parameter in this simple example allows one to reproduce some nonperturbative phenomena that occur in more realistic models. In addition, a special case of fermionic dynamics is considered, and it is shown that one can actually find families of moments whose dynamics is linear but satisfies non-Markovian equations.

 Funding Agency Grant Number Russian Science Foundation 17-71-20154 This work is supported by the Russian Science Foundation under grant 17-71-20154.

DOI: https://doi.org/10.4213/tm4160

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English version:
Proceedings of the Steklov Institute of Mathematics, 2021, 313, 236–245

Bibliographic databases:

UDC: 517.958
Revised: September 11, 2020
Accepted: October 29, 2020

Citation: A. E. Teretenkov, “An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 253–262; Proc. Steklov Inst. Math., 313 (2021), 236–245

Citation in format AMSBIB
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