Adiabatic Lindbladian Evolution with Small Dissipators

We consider a time-dependent small quantum system weakly coupled to an environnement, whose effective dynamics we address by means of Lindblad equation. assume the Hamiltonian part Lindbladian is slowly varying in time and dissipator has amplitude. study properties evolved state as adiabatic parameter coupling constant both go zero, various asymptotic regimes. In particular, analyse deviations transition probabilities between instantaneous eigenspaces with respect their values purely setup, function parameters.