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In an exciting experiment by MIT's group (Science 275, 637 (1997)), clearinterference fringes were observed for two initially independent Bosecondensates in dilute gas. Presently, there are two different theories(measurement-induced interference theory and interaction-induced interferencetheory) which can both explain MIT's experimental results. Based on ourinteraction-induced interference theory, we consider the evolution of thedensity-density correlation after the releasing of a double-well potentialtrapping two independent Bose condensates. Based on the interaction-inducedinterference theory, we find that the interference fringes in thedensity-density correlation exhibit a behavior of emergence and disappearancewith the development of time. We find essential difference for thedensity-density correlation based on interaction-induced interference theoryand measurement-induced interference theory, and thus we suggest thedensity-density correlation to experimentally reveal further the interferencemechanism for two initially independent Bose condensates.Comment: See also cond-mat/0612132 (or New Journal of Physics 8, 245 (2006)

Density–density correlation and interference mechanism for two initially independent Bose–Einstein condensates