München 2004 – wissenschaftliches Programm

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Q: Quantenoptik und Photonik

Q 28: Quantengase III

Q 28.3: Vortrag

Dienstag, 23. März 2004, 17:00–17:15, HS 225

Spatial correlations of trapped 1d bosons in an optical lattice — •Corinna Kollath¹, Ulrich Schollwöck¹, Jan von Delft¹, and Wilhelm Zwerger^1,2 — ¹LMU-München, Theresienstr. 37, 80333 München — ²Institut für theoretische Physik, Universität Innsbruck, Thechnikerstr. 25, 6020 Innsbruck

Greiner et al.[1] succeeded in driving a quantum phase transition between a superfluid and a Mott-insulating phase of trapped cold bosonic atoms in an optical lattice. We investigate a similar quasi-one dimensional system by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice sites [3] (for experiments on quasi-one dimensional systems see [2]). We focus on the influence of the parabolic trapping on the quantum phase transition and show that a properly rescaled one-particle density matrix characterizes superfluid versus insulating states just as in the homogeneous system. We further confirm for typical parabolic traps the widely used local density approach for describing correlations in the limit of weak interaction.

[1] M.Greiner et al. Nature 415, 39 (2002)

[2] H.Moritz et al. cond-mat/0307607

[3] C.Kollath et al. cond-mat/0310388