  We consider ultracold bosonic atoms in a single trap in the Thomas-Fermi
regime, forming many-body states corresponding to stable macroscopically
fragmented two-mode condensates. It is demonstrated that upon free expansion of
the gas, the spatial dependence of the density-density correlations at late
times provides a unique signature of fragmentation. This hallmark of fragmented
condensate many-body states in a single trap is due to the fact that time of
flight modifies the correlation signal such that two opposite %with respect to
points in the expanding cloud become uncorrelated, in distinction to a
nonfragmented Bose-Einstein condensate, where they remain correlated.
