Eigenstate correlations around the many-body localization transition

Many-body localization (MBL) addresses (de)localization in highly excited states of disordered interacting systems. The authors explore eigenstate correlations the vicinity MBL transition, emphasizing that they can be measured on state-of-the-art quantum processors and simulators. In addition to genuine many-body problem, random regular graphs is considered, which serves as a toy model transition. Both models show remarkably similar behavior includesergodicity delocalized phase, power-law enhancement at low frequency maximalcorrelation between adjacent-in-energy transition point.