Avalanches and many-body resonances in many-body localized systems

Many-body localization (MBL) is a mechanism by which quantum chains with strong enough disorder can avoid thermalization. Here, the authors define and locate several distinct landmarks having to do thermalization, rare many-body resonances, so-called thermal avalanches in systems that exhibit MBL. These are well separated strength of disorder, estimate where MBL breaks down asymptotically large far beyond what usually pointed as transition.