Many-body localization in continuum systems: Two-dimensional bosons

This is the authors' abstract. We don't add key points for this paper.

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only above a critical temperature, which increases with the strength of the disorder. If the particle distribution is truncated at high energies, as it is for cold-atom systems, the localization can be stable at any temperature.