  We consider critical space-time correlations in trapped utracold atoms and
propose a method for their detection by the interference with a reference
Bose-Einstein condensate. An important information about universal properties
can be obtained despite non-uniformity and small sizes of atomic clouds. The
advantage of this method is that the correlation properties of the interference
pattern are robust with respect to expansion and are not, practically, affected
by microscopic structure of underlying lattice including structural disorder.
The non-destructive scheme allows measuring the space-time correlators of
arbitrary order.
