Power-law entanglement growth from typical product states

This article studies entanglement in generic disordered systems and compares the growth of the wave function entanglement with that of the operator entanglement of the unitary evolution operator. The authors find that there is a perfect correspondence between the two when the former is generated from typical initial states, while other initial product states exhibit faster entanglement production. This provides evidence that slow dynamics is a universal precursor of the many-body localization transition.