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arxiv: cond-mat/0702333 · v2 · submitted 2007-02-14 · ❄️ cond-mat.mes-hall

Non-abelian superconducting pumps

classification ❄️ cond-mat.mes-hall
keywords non-abelianadiabaticchargepumpedsuperconductingcoherentcooperdegeneracy
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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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