Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime

Details Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime

2004-08-27

arxiv.org/abs/cond-mat/0408596v2

Phys. Rev. Lett. 93, 210401 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, replaced with published version

Scientific paper

10.1103/PhysRevLett.93.210401

Recent experiments on ultracold atomic alkali gases in a one-dimensional optical lattice have demonstrated the transition from a gas of soft-core bosons to a Tonks-Girardeau gas in the hard-core limit, where one-dimensional bosons behave like fermions in many respects. We have studied the underlying many-body physics through numerical simulations which accommodate both the soft-core and hard-core limits in one single framework. We find that the Tonks-Girardeau gas is reached only at the strongest optical lattice potentials. Results for slightly higher densities, where the gas develops a Mott-like phase already at weaker optical lattice potentials, show that these Mott-like short range correlations do not enhance the convergence to the hard-core limit.

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