  We consider the nonstationary circuit QED architecture, where a single
artificial two-level atom interacts with a cavity field mode under external
modulation of one or more system parameters. Two different approaches are
employed to study the effects of Markovian dissipation on modulation-induced
transitions between the atom-field dressed states: the standard master equation
of Quantum Optics and the recently formulated dressed-picture master equation.
We estimate the associated transition rates and show that photon generation
from vacuum ("dynamical Casimir effect", DCE) and coherent photon annihilation
from nonvacuum states ("Anti-DCE") are possible with the current
state-of-the-art parameters.
