Many-body localization and its signatures in quantum quenches

The presence of disorder in a non-interacting system can
localize all the energy eigenstates, a phenomena dubbed Anderson
localization. Many-body localization is an extension of this phenomena
to include interactions. Effects of interactions show up in the
logarithmic growth of entanglement after a global quench. We perform a
systematic study of the evolution and saturation of entanglement and
show that it can be used to detect the localization transition. We
consider the bipartite fluctuation which also captures the transition
and is promising as an experimental probe. We compare these results to
that of a non-interacting system and note important differences
between the two.