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Q: Quantenoptik und Photonik
Q 38: Quantengase IV
Q 38.5: Talk
Wednesday, March 15, 2006, 11:40–11:55, HVI
Mean-Field Approach to the Superfluid-Bose Glass Transition — •Matthias Timmer1, Patrick Navez2, Axel Pelster1, and Robert Graham1 — 1Fachbereich Physik, Universität Duisburg-Essen, Universitätsstraße 5, 45117 Essen, Germany — 2Labo Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven, Celestijnlaan 200 D, B-3001 Heverlee, Belgium
We describe a dilute, weakly interacting Bose gas in presence of a strong δ-correlated disorder potential, thus improving the perturbational approach of Ref. [1]. To this end, we treat the disorder with the replica method and derive a Hartree-Fock-Bogoliubov mean-field theory which generalizes the Hartree-Fock theory recently developed in Ref. [2]. The resulting condensate and superfluid density depend on the strengths of the disorder and the two-particle interaction. In particular, we focus on the location of a quantum phase transition between a superfluid and a Bose glass phase at zero temperature for a finite value of the disorder strength.
[1] K. Huang and H.F. Meng, Phys. Rev. Lett. 69, 644 (1992).
[2] R. Graham and A. Pelster, cond-mat/0508306.