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

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

We show that in the sudden expansion of a spin-balanced, two-component Fermi gas 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 grows linearly in time. This allow us to define the expansion velocity ${V}_{\mathrm{ex}}$ …