  We demonstrate cooling of the motion of a single atom confined by a dipole
trap inside a high-finesse optical resonator. Cooling of the vibrational motion
results from EIT-like interference in an atomic \Lambda-type configuration,
where one transition is strongly coupled to the cavity mode and the other is
driven by an external control laser. Good qualitative agreement with the
theoretical predictions is found for the explored parameter ranges. The role of
the cavity in the cooling dynamics is confirmed by means of a direct comparison
with EIT-cooling performed in the dipole trap in free space. These results set
the basis to the realization of an efficient photonic interface based on single
atoms.
