Edge exponents in work statistics out of equilibrium and dynamical phase transitions from scattering theory in one dimensional gapped systems

T. Palmai

Published 2015-06-26Version 1

I discuss the relationship between edge exponents in the statistics of the 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 there is an interesting interplay between spontaneous symmetry breaking or the presence of bound states and the edge exponents in the probability density function of the work done. For instantaneous global protocols there are implications for the existence of dynamical phase transitions in the time evolution of the system.