Dynamics of strongly correlated fermions: Ab initio results for two and three dimensions

Abstract

Quantum transport of strongly correlated fermions is of central interest in condensed matter physics. While the stationary expansion dynamics have recently been measured with cold atoms in 2D optical lattices, ab initio simulations have been limited to 1D setups so far. Here, we present the first precise fermionic quantum dynamics simulations for 2D and 3D. The simulations are based on nonequilibrium Green functions and incorporate strong correlations via T-matrix self-energies. The simulations predict the short-time dynamics, and we discover a universal scaling of the expansion velocity with the particle number. Our predictions can be verified experimentally using the recently developed fermionic atom microscopes.