Doublon dynamics for fermions in a disordered lattice
The dynamics of quantum particles with strong interactions and disorder represents a frontier in our understanding of many-body physics. We study this problem using ultracold fermionic atoms in an optical lattice, by monitoring the population of double occupancies (doublons) following an interaction quench. The re-equilibration time is found to vary strongly and non-monotonically as disorder is added, with relaxation regimes that correspond to predicted Mott insulator--correlated metal--Anderson-Mott insulator transitions for the ground state at half-filling. This allows for understanding of the quench dynamics through changes in the corresponding ground state, and shows the ability of relaxation measurements to sensitively probe changes in the density of states.