Friday, May 24, 2013

1305.5496 (L. Vidmar et al.)

Sudden expansion of Mott insulators in one dimension    [PDF]

L. Vidmar, S. Langer, I. P. McCulloch, U. Schneider, U. Schollwoeck, F. Heidrich-Meisner
We investigate the sudden expansion dynamics of bosons and fermions in a homogeneous lattice using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott insulators expand with the same velocity, irrespective of the interaction strength. They therefore expand like noninteracting spinless fermions or, equivalently, hard-core bosons (HCB), both of which are integrable systems. Moreover, we investigate the effect of breaking the integrability of HCB: While such a system exhibits ballistic dynamics in one dimension, we obtain strong deviations from this behavior on a two-leg ladder. This is consistent with a recent experiment that studied the dimensional crossover from one to two dimensions.
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