Non-abelian superconducting pumps
arXiv:cond-mat/0702333 · doi:10.1103/PhysRevLett.100.027002
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.
5 pages, 3 figures