Non-abelian superconducting pumps

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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5 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.100.027002

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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