Bose condensation in two dimensions with disorder: Gross-Pitaevskii approach
arXiv:quant-ph/9806003
Abstract
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.
10 pages, 5 figures, LaTeX 2e