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The universal forms of quantum density and phase correlations after aninteraction quench are found for dilute 1d, 2d, and 3d condensates. ABogoliubov approach in a local density aproximation is used. We obtain compactexpressions for the most visible effects. Our results show how loss of phasecoherence and antibunching are built up after the quench by quantumfluctuations. We demonstrate further that the density correlations can beobserved even with imaging resolution much worse than healing length. Thisindicates that the direct measurement of counterpropagating atom pairs in situin a continuum system is realistic. The conditions in contemporary 1dexperiments are especially favorable for the correlation wave observations.

Correlation evolution in dilute Bose-Einstein condensates after quantum quenches