Quantum effect of inductance on geometric Cooper-pair transport
arXiv:1209.3655 · doi:10.1103/PhysRevB.86.184512
Abstract
We introduce a model for a flux-assisted Cooper-pair pump, the sluice, which is used to study geometric charge transport. Our model allows for a nonvanishing loop inductance going beyond the usual treatment with an exact phase bias. We derive the device Hamiltonian and current operators for different elements of the system and calculate the pumped charge carried by the ground state in the adiabatic limit. We show that extending the model beyond the exact phase bias, has a weak but potentially non-negligible effect on the charge transport. This effect is observed to depend on the external flux bias. The adiabatic energy level and eigenstate structures are studied and the unusual features are explained. Finally, we discuss the requirements of adiabaticity.
13 pages, 6 figures, final version
References in corpus (14)
- Charge insensitive qubit design derived from the Cooper pair box
- Observation of Berry's Phase in a Solid State Qubit
- Experimental determination of the Berry phase in a superconducting charge pump
- Measurement scheme of the Berry phase in superconducting circuits
- Nanoampere pumping of Cooper pairs
- Connecting Berry's phase and the pumped charge in a Cooper pair pump
- Decoherence of adiabatically steered quantum systems
- Non-abelian superconducting pumps
- The Cooper Pair Pump as a Quantized Current Source
- Geometric quantum gates with superconducting qubits
- Adiabatic pumping in a Superconductor-Normal-Superconductor weak link
- Single Cooper-pair pumping in the adiabatic limit and beyond
- Ground-state geometric quantum computing in superconducting systems
- Stabilized parametric Cooper-pair pumping in a linear array of coupled Josephson junctions