Full Counting Statistics of Cooper Pair Shuttling
arXiv:cond-mat/0402412 · doi:10.1103/PhysRevB.70.212509
Abstract
The Cooper pair shuttle is a simple model system that combines features of coherent and incoherent transport. We evaluate the full counting statistics (FCS) of charge transfer via the shuttle in the incoherent regime. We describe two limiting cases when the FCS allows for classical interpretation. Generally, the classical interpretation fails yielding negative and imaginary "probabilities". This signals that superconducting coherence survives even in incoherent regime. We evaluate the current noise in some detail.
4 pages, 3 figures; v2 (published version) corrected misprints
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- Dynamics and Current Fluctuations in AC driven Charge Shuttle
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- Full Counting Statistics of Non-Commuting Variables: the Case of Spin Counts
- Charge quantization and detector resolution
- Pumped heat and charge statistics from Majorana braiding
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- Superradiant-like dynamics by electron shuttling on a nuclear-spin island
- Non-adiabatic quantum pumping by a randomly moving quantum dot
- Transport properties of a periodically driven superconducting single electron transistor