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.
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For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.
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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.
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Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.