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We present a numerical approach to study the coherent transport of Cooperpairs through a Hubbard chain, and study the role of the contacts in achievingperfect Andreev reflection. We calculate the pair transport using the DensityMatrix Renormalization Group by measuring the response of the system to quantumpair fields with complex phases on the two ends of an open system. Thisapproach gives an effective superfluid weight which is in close agreement withthe Bethe Ansatz results for the superfluid weight for closed Hubbard rings.Comment: 5 pages, 6 figure

Cooper-pair transport through a Hubbard chain sandwiched between two superconductors: Density matrix renormalization group calculations