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We describe the behavior of a repulsively interacting Bose-Einsteincondensate of indirect dipolar exciton gas in a double quantum well (QW) systemunder external static or dynamic electric fields at finite temperatures.Electrostatic perturbation is considered to be created by an impurity atom orshot-range defect of QW fluctuation. The screening of this defect potential byan exciton condensate is studied. We find asymptotic spatial dependence of thescreened potential and analyse its dependence on the temperature and excitonconcentration. It is shown that the asymptotic of the screened potential has asteep power law dependence in contrast to the well known results of electrongas. This peculiarity reflects the bosonic nature of the exciton condensate.The behavior of exciton condensate under external alternative field created bya surface acoustic wave (SAW) is examined in detail. We focus our attention onthe dependence of SAW absorption coefficient on temperature and excitonconcentration. We found that at zero temperatures Landau damping does notcontribute to the SAW absorption, but the Belyaev mechanism produces unusualbehavior of SAW absorption coefficient on exciton concentration: if the excitonconcentration exceeds some critical value, the SAW absorption vanishes. Atfinite temperatures Landau damping comes into action and results in washing outthe sharp absorption behavior. Such unusual SAW absorption properties can beused for experimental evidence of the exciton condensation. This method is alsoapplicable to the experimental testing of both dark and bright excitoncondensates, that is impossible to do with the optical luminescence technique.

Impurity Screening and Surface Acoustic Wave Absorption in a Dipolar Exciton Condensate at Finite Temperatures