We derive from first principles the dynamical equations for the interaction
between a heat bath and a multilevel atom with some near degenerate states
. Such dynamical equations exhibit atomic coherence terms which arise from
the interference of transition amplitudes. We address the question whether
such equations lead to a steady state that is consistent with the thermodyn
amic equilibrium. We show that coherence affects the dynamics of the system
, but the equilibrium conditions are still characterized by Boltzmann facto
rs. We also show how an asymmetric treatment of spontaneous and stimulated
processes could lend to a steady state which is at variance with the princi
ples of thermodynamic equilibrium. We show that such a steady state con be
realized by pumping with broadband laser fields. Finally, we show that cohe
rences in the dynamical equations can be probed via the spectrum of fluores
cence.