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
References in corpus (14)
- Holonomic Quantum Computation
- Scattering approach to parametric pumping
- Geometric quantum computation with NMR
- Geometric Manipulation of Trapped Ions for Quantum Computation
- Detection of Geometric Phases in Superconducting Nanocircuits
- Non-Abelian phases, charge pumping, and quantum computation with Josephson junctions
- Geometry, Statistics and Asymptotics of Quantum Pumps
- Measurement scheme of the Berry phase in superconducting circuits
- Adiabatic transport of Cooper pairs in arrays of Josephson junctions
- Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps
- Connecting Berry's phase and the pumped charge in a Cooper pair pump
- Hidden quantum pump effects in quantum coherent rings
- Adiabatic pumping in a Superconductor-Normal-Superconductor weak link
- Quantum pumping and dissipation in closed systems
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- Geometric Landau-Zener interferometry in a superconducting charge pump
- Dynamic scattering channels of a double barrier structure
- Floquet theory of Cooper pair pumping
- Geometric quantum gates with superconducting qubits
- Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
- Non-Abelian geometric phases in ground state Josephson devices
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Superadiabatic theory for Cooper pair pumping under decoherence
- Realization of a holonomic quantum computer in a chain of three-level systems
- The Geometry of (non) abelian adiabatic pumping
- Merging diabolical points of a superconducting circuit
- Cooper pair current in the presence of flux noise
- Coherent superconducting quantum pump
- Coherent Cooper-pair pumping by magnetic flux control
- Optimized Cooper pair pumps
- Quantum transport phenomena induced by time-dependent fields
- Quantum effect of inductance on geometric Cooper-pair transport
- Noise Effects on the Wilczek-Zee Geometric Phase
- Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work
- Geometric and holonomic quantum computation