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We study quantum transport of an interacting Bose-Einstein condensate in atwo-dimensional disorder potential. In the limit of vanishing atom-atominteraction, a sharp cone in the angle-resolved density of the scattered matterwave is observed, arising from constructive interference between amplitudespropagating along reversed scattering paths. Weak interaction transforms thiscoherent backscattering peak into a pronounced dip, indicating destructiveinstead of constructive interference. We reproduce this result, obtained fromthe numerical integration of the Gross-Pitaevskii equation, by a diagrammatictheory of weak localization in presence of a nonlinearity.

Coherent backscattering of Bose-Einstein condensates in two-dimensional disorder potentials