Non-Abelian Superconducting Pumps
Valentina Brosco, Rosario Fazio, F. W. J. Hekking, Alain Joye
DOI 10.1103/PhysRevLett.100.027002 · Physical Review Letters
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Abstract
Cooper pair pumping is a coherent process. We derive a general expression for the adiabatic pumped charge in superconducting nanocircuits in the presence of level degeneracy and relate it to non-Abelian holonomies of Wilczek and Zee. We discuss an experimental system where the non-Abelian structure of the adiabatic evolution manifests in the pumped charge.
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