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We present a study of adiabatic Cooper pair pumping in one dimensional arrayof Cooper pair boxes. We do a detailed theoretical analysis of anexperimentally realizable stabilized charge pumping scheme in a linear array ofCooper pair boxes. Our system is subjected to synchronized flux and voltagefields and travel along a loop which encloses their critical ground state ofthe system in the flux-voltage plane. The locking potential in the sine-Gordonmodel slides and changes its minimum which yields the Cooper pair pumping. Ouranalytical methods are the Berry phase analysis and Abelian bosonizationstudies.

Adiabatic Cooper-Pair Pumping in a Linear Array of Cooper Pair Boxes