Düsseldorf 2007 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 64: Poster Quantengase

Q 64.2: Poster

Donnerstag, 22. März 2007, 16:30–18:30, Poster C

All roads lead to Rome – even for trapped quasi-1D bosons — •Michael Eckart, Reinhold Walser, and Wolfgang Schleich — Institut für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany

In this contribution we use an extended mean-field theory to calculate the correlation functions up to third order of a homogeneous as well as a trapped quasi-1D gas of bosons at zero and finite temperature. The relevance of our results arises from the fact that experiments in quasi-1D geometries are presently conducted [1, 2, 3] and the theoretical analysis of the transition from the weakly correlated Gross-Pitaevskii regime to the strongly correlated Tonks-Girardeau regime is pursued by many groups [4, 5].

With our results we are also able to study the limits of an extended mean-field theory and give a clear indication where it has to be replaced by a different approach. In addition to this we also present a comparison of our full extended mean-field theory with an exact as well as an approximate solution in the homogeneous case and numerical results for the exact behavior of few-boson systems in a trapped quasi-1D geometry [6].

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

[2] D. Hellweg et al., Phys. Rev. Lett. 91, 010406 (2003)

[3] T. Kinoshita et al., Phys. Rev. Lett. 95, 190406 (2005)

[4] K.V. Kheruntsyan et al., Phys. Rev. A 71, 053615 (2005)

[5] G.E. Astrakharchik et al., J. Phys. B 39, S1 (2006)

[6] S. Zöllner et al., Phys. Rev. A 74, 053612 (2006)