  The recently developed technique combining the weak coupling limit with the
Floquet formalism is applied to a model of two-level atom driven by a strong
laser field and weakly coupled to heat baths. Firstly, the case of a single
electromagnetic bath at zero temperature is discussed and the formula for
resonance fluorescence is derived. The expression describes the well-known
Mollow triplet, but its details differ from the standard ones based on
additional simplifying assumptions. The second example describes the case of
two thermal reservoirs: an electromagnetic one at finite temperature and the
second dephasing one, which can be realized as a phononic or buffer gas
reservoir. It is shown using the developed thermodynamical approach that the
latter system can work in two regimes depending on the detuning sign: a heat
pump transporting heat from the dephasing reservoir to an electromagnetic bath
or can heat both, always at the expense of work supplied by the laser field.
