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We study the properties of a dilute Bose condensed gas at zero temperature inthe presence of a strong random potential with arbitrary correlation length.Starting from the underlying Gross-Pitaevskii equation, we use the random phaseapproximation in order to get a closed integral equation for the averageddensity distribution which allows to determine both the condensate and thesuperfluid density. The obtained results generalize those of Huang and Meng(HM) to strong disorder. In particular, we find the critical value of thedisorder strength, where the superfluid phase disappears by a first-order phasetransition. We show how this critical value changes as a function of thecorrelation length.

Bose condensed gas in strong disorder potential with arbitrary correlation length