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We show that in the sudden expansion of a spin-balanced two-component Fermigas into an empty optical lattice induced by releasing particles from a trap,over a wide parameter regime, the radius $R_n$ of the particle cloud growslinearly in time. This allow us to define the expansion velocity $V_{ex}$ from$R_n=V_{ex}t$. The goal of this work is to clarify the dependence of theexpansion velocity on the initial conditions which we establish fromtime-dependent density matrix renormalization group simulations, both for a boxtrap and a harmonic trap. As a prominent result, the presence of aMott-insulating region leaves clear fingerprints in the expansion velocity. Ourpredictions can be verified in experiments with ultra-cold atoms.

Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime