Bose condensation in two dimensions with disorder: Gross-Pitaevskii approach

Physics – Quantum Physics

Scientific paper

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10 pages, 5 figures, LaTeX 2e

Scientific paper

Bose condensation of interacting bosons in a two-dimensional random potential is studied. The Gross-Pitaevskii equation is solved to determine the spatially-varying order parameter and the localization length as a function of the disorder, the interaction strength, and the condensate density. A finite temperature of condensation is obtained thereby. The results are applied to determination of the superradiant decay of excitons in a GaAs quantum well.

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