  I discuss the relationship between edge exponents in the statistics of work
done, dynamical phase transitions, and the role of different kinds of
excitations appearing when a non-equilibrium protocol is performed on a closed,
gapped, one-dimensional system. I show that the edge exponent in the
probability density function of the work is insensitive to the presence of
interactions and can take only one of three values: +1/2, -1/2 and -3/2. It
also turns out that there is an interesting interplay between spontaneous
symmetry breaking or the presence of bound states and the exponents. For
instantaneous global protocols, I find that the presence of the one-particle
channel creates dynamical phase transitions in the time evolution.
