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

L. Pollet·S. M. A. Rombouts·P. J. H. Denteneer
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Abstract

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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L. Pollet, S. M. A. Rombouts, P. J. H. Denteneer. 2004-11-22. Ultracold atoms in one-dimensional optical lattices approaching the Tonks-Girardeau regime. https://doi.org/10.1103/physrevlett.93.210401

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