Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-09-20
Phys. Rev. A 85, 043618 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
8 pages 10 figures, version as published with minor stylistic changes
Scientific paper
10.1103/PhysRevA.85.043618
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 $V_{ex}$ from $R_n=V_{ex}t$. The goal of this work is to clarify the dependence of the expansion velocity on the initial conditions which we establish from time-dependent density matrix renormalization group simulations, both for a box trap and a harmonic trap. As a prominent result, the presence of a Mott-insulating region leaves clear fingerprints in the expansion velocity. Our predictions can be verified in experiments with ultra-cold atoms.
Heidrich-Meisner Fabian
Langer Stefan
McCulloch Ian P.
Schollwöck Ulrich
Schuetz Martin J. A.
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