Geodesic
An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 253-262

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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. 
@article{TM_2021_313_a20,
     author = {A. E. Teretenkov},
     title = {An {Example} of {Explicit} {Generators} of {Local} and {Nonlocal} {Quantum} {Master} {Equations}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {253--262},
     publisher = {mathdoc},
     volume = {313},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2021_313_a20/}
}
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A. E. Teretenkov. An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 253-262. http://geodesic.mathdoc.fr/item/TM_2021_313_a20/