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Non-Abelian superconducting pumps.

Valentina Brosco1, Rosario Fazio, F W J Hekking

  • 1Institut für Theoretische Festkörperphysik and DFG Center for Functional Nanostructures (CFN), Universität Karlsruhe, 76128 Karlsruhe, Germany.

Physical Review Letters
|February 1, 2008
PubMed
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We derived a general expression for adiabatic pumped charge in superconducting nanocircuits. This relates to non-Abelian holonomies, with experimental implications for coherent quantum processes.

Area of Science:

  • Condensed matter physics
  • Quantum mechanics
  • Nanotechnology

Background:

  • Cooper pair pumping is a fundamental coherent quantum process in superconducting nanocircuits.
  • Understanding adiabatic charge transport is crucial for quantum information processing and metrology.
  • Level degeneracy in quantum systems introduces complex behaviors in adiabatic evolution.

Purpose of the Study:

  • To derive a general expression for adiabatic pumped charge in superconducting nanocircuits with level degeneracy.
  • To establish a connection between adiabatic pumped charge and non-Abelian holonomies.
  • To identify experimental systems where non-Abelian structures are observable in pumped charge.

Main Methods:

  • Theoretical derivation of pumped charge using quantum mechanical principles.

Related Experiment Videos

  • Application of concepts from non-Abelian holonomies (Wilczek-Zee).
  • Analysis of adiabatic evolution in the context of superconducting nanocircuits.
  • Main Results:

    • A general expression for adiabatic pumped charge in the presence of level degeneracy was obtained.
    • The pumped charge was directly related to non-Abelian holonomies.
    • An experimental scenario was proposed where the non-Abelian structure is manifested in the pumped charge.

    Conclusions:

    • The study provides a theoretical framework for understanding adiabatic charge pumping in degenerate superconducting nanocircuits.
    • Non-Abelian holonomies offer a powerful tool to describe complex adiabatic processes in these systems.
    • The findings pave the way for experimental verification and potential applications in quantum technologies.