Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
For time-local master equation, this occurs if there exists at least one decay channelαand a timet> 0 such that γα(t)<0
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Convexity and non-Markovianity of Weyl Maps
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.