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Recently Liu et al. [PRL 87, 030404 (2001)] examined the lowest state of aweakly-interacting Bose-Einstein condensate. In addition to other interestingresults, using the method of the pair correlation function, they questioned thevalidity of the mean-field picture of the formation of vortices and stated thatthe vortices are generated at the center of the cloud. This is in apparentcontradiction to the Gross-Pitaevskii approach, which predicts that thevortices successively enter the cloud from its outer parts as L/N (where N isthe number of atoms in the trap and hbar(L) is the angular momentum of thesystem) increases. We have managed to reproduce the results of Liu et al.however a more careful analysis presented below confirms the validity of themean-field approach.Comment: 1 page, RevTex, 2 figure

Comment on “Fragmented Condensate Ground State of Trapped Weakly Interacting Bosons in Two Dimensions”