Prof. Dr. Ferdinand Evers

Institut für Theoretische Physik, Universität Regensburg

A Perspective on (Many-body) Localization — Facts and Work in Progress

The talk will present numerical investigations of the fate of Anderson localization in the presence of short-range interactions, i.e., many-body localization (MBL). Its first part offers a short overview over the field, focusing on the dynamical behavior of two key observables, entanglement entropy and sublattice imbalance. The second part highlights two concepts of many-body dynamics that we have introduced recently: The “internal clock of MBL” and “Fock-space connectivity”. The latter offers an interesting analogy between the Fock-space dynamics and the dynamics of non-interacting particles on a high-dimensional regular graph with on-site disorder. Potential implications for MBL phase diagrams will be briefly discussed.