Adiabatic Cooper-pair pumping in a linear array of Cooper-pair boxes
Sujit Sarkar
DOI 10.1103/PhysRevB.80.212505 · Physical Review B
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Abstract
We present a detailed theoretical study of adiabatic Cooper-pair pumping in a one-dimensional array of Cooper-pair boxes and discuss its experimental feasibility. The Josephson tunneling and the gate voltage are two adiabatic couplings of our system. Using the concept of Berry phase and Abelian bosonization, we show that the evolution of the ground state follows a closed loop in the flux-voltage plane. Its adiabatic motion yields the Cooper-pair pumping in the system. We find the condition for blocking the Cooper-pair pumping even in the perfect pumping condition.
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