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We present a theory of measurement-induced interference for weaklyinteracting Bose-Einstein condensed (BEC) gases. The many-body state resultingfrom the evolution of an initial fragmented (Fock) state can be approximated asa continuous superposition of Gross-Pitaevskii (GP) states; the measurementbreaks the initial phase symmetry, producing a distribution patterncorresponding to only one of the GP solutions. We discuss also analyticallysolvable models, such as two-mode on-chip adiabatic recombination and solitongeneration in quasi one-dimensional condensates.

Phase coherence and fragmentation in weakly interacting bosonic gases