Subdiffusive Thouless time scaling in the Anderson model on random regular graphs

Strong disorder usually gives rise to slow transport regimes in quantum many-body systems. The Thouless time scaling with system size, probed by long-range spectral correlations, allows distinguishing diffusive, subdiffusive, and localized dynamics regimes. Here, the authors investigate the Thouless time in the Anderson model on regular random graphs, a proxy for many-body localization. These results support the existence of a subdiffusive regime anticipating the localized phase.