Dresden 2011 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 48: Quantum Gases: Effects of Interactions
Q 48.4: Talk
Thursday, March 17, 2011, 11:15–11:30, SCH 251
Homogeneous Bose-Einstein Condensate with Weak Disorder — •Vladimir Luković1, Antun Balaž1, and Axel Pelster2 — 1Scientific Computing Laboratory, Institute of Physics Belgrade, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia — 2Fachbereich Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany
We determine the thermodynamic properties of a homogeneous superfluid dilute Bose gas in presence of weak quenched disorder. To this end we solve perturbatively the underlying Gross-Pitaevskii equation and perform then disorder ensemble averages for the respective physical quantities of interest. In the first order with respect to the disorder we reproduce the seminal results of Huang and Meng, which were originally derived within a Bogoliubov theory around a disorder averaged background field [1]. Afterwards, we determine both the condensate and the superfluid depletion as well as the equation of state and the sound velocity also in the subsequent second order and evaluate them for different disorder correlation functions.
[1] K. Huang and H. F. Meng, Phys. Rev. Lett. 69, 644 (1992).