  We describe the behavior of a repulsively interacting Bose-Einstein
condensate of indirect dipolar exciton gas in a double quantum well (QW) system
under external static or dynamic electric fields at finite temperatures.
Electrostatic perturbation is considered to be created by an impurity atom or
shot-range defect of QW fluctuation. The screening of this defect potential by
an exciton condensate is studied. We find asymptotic spatial dependence of the
screened potential and analyse its dependence on the temperature and exciton
concentration. It is shown that the asymptotic of the screened potential has a
steep power law dependence in contrast to the well known results of electron
gas. This peculiarity reflects the bosonic nature of the exciton condensate.
The behavior of exciton condensate under external alternative field created by
a surface acoustic wave (SAW) is examined in detail. We focus our attention on
the dependence of SAW absorption coefficient on temperature and exciton
concentration. We found that at zero temperatures Landau damping does not
contribute to the SAW absorption, but the Belyaev mechanism produces unusual
behavior of SAW absorption coefficient on exciton concentration: if the exciton
concentration exceeds some critical value, the SAW absorption vanishes. At
finite temperatures Landau damping comes into action and results in washing out
the sharp absorption behavior. Such unusual SAW absorption properties can be
used for experimental evidence of the exciton condensation. This method is also
applicable to the experimental testing of both dark and bright exciton
condensates, that is impossible to do with the optical luminescence technique.
