  We study driven finite quantum systems in contact with a thermal reservoir in
the regime in which the system changes slowly in comparison to the
equilibration time. The associated isothermal adiabatic theorem allows us to
control the full statistics of energy transfers in quasi-static processes.
Within this approach, we extend Landauer's Principle on the energetic cost of
erasure processes to the level of the full statistics and elucidate the nature
of the fluctuations breaking Landauer's bound.
