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This article is cited in 2 scientific papers (total in 2 papers)
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.
Received: August 24, 2020 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
Linking options:
https://www.mathnet.ru/eng/tm4160https://doi.org/10.4213/tm4160 https://www.mathnet.ru/eng/tm/v313/p253
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Abstract page: | 263 | Full-text PDF : | 56 | References: | 16 | First page: | 8 |
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