Frankfurt 2006 – scientific programme

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Q: Quantenoptik und Photonik

Q 17: Festkörperlaser II

Q 17.4: Talk

Monday, March 13, 2006, 17:45–18:00, HIV

Bose Gas in Disorder Potential With Arbitrary Correlation — •Patrick Navez¹, Axel Pelster², and Robert Graham² — ¹Labo Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven, Celestijnlaan 200 D, B-3001 Heverlee, Belgium — ²Fachbereich Physik, Universität Duisburg-Essen, Universitätsstraße 5, 45117 Essen, Germany

We consider a dilute, weakly interacting Bose gas moving in a Gaussian distributed frozen disorder potential V (x). Depending on the disorder correlation function V (x₁)V (x₂) = R(x₁ − x₂), this model describes superfluid helium in porous media or cold atoms trapped by magnetic fields along wires with current irregularities. In our approach we interpret the underlying zero temperature Gross-Pitaevskii equation as a spatial Langevin equation and calculate disorder ensemble averages from it. The resulting condensate and superfluid densities are determined as a function of the disorder correlation length.