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

A. E. Teretenkov

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematics of Quantum Technologies, Tome 313 (2021), pp. 253-262.

Résumé

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.

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