Disorder-Induced Shift of Condensation Temperature for Dilute Trapped Bose Gases

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Author information under http://www.theo-phys.uni-essen.de/tp/ags/pelster_dir

Scientific paper

10.1209/epl/i2006-10341-0

We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched disorder potential. Increasing the correlation length from values much smaller than the geometric mean of the trap scale and the mean particle distance to much larger values leads first to an increase of the positive shift to a maximum at this critical length scale and then to a decrease.

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