While localization for single particle systems was demonstrated already in Anderson's original paper (coming to be known as Anderson localization), the existence of the phenomenon for many particle systems remained a conjecture for decades. In 1980 Fleishman and Anderson demonstrated the phenomenon survived the addition of interactions to lowest order in perturbation theory. In a 1998 study, the analysis was extended to all orders in perturbation theory, in a zero-dimensional system, and the MBL phenomenon was shown to survive. In 2005 and 2006, this was extended to high orders in perturbation theory in high dimensional systems. MBL was argued to survive at least at low energy density. A series of numerical works provided further evidence for the phenomenon in one dimensional systems, at all energy densities (“infinite temperature”). Finally, in 2014 Imbrie presented a proof of MBL for certain one dimensional spin chains with strong disorder, with the localization being stable to arbitrary local perturbations – i.e. the systems were shown to be in a many body localized phase.