Full counting statistics applied to dissipative Cooper pair pumping

2012/12/17 by P. Wollfarth, Philip Wollfarth, I. Kamleitner +2 · 1 citation
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Charge (physics) #Chemistry #Current (fluid) #Dissipative system #Flux (metallurgy) #Mathematics #Physics #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Thermodynamics #cond-mat.mes-hall #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevb.87.064511

published in Physical Review B 87(6) (American Physical Society) · 8 pages, 5 figures

arxiv created 2012/12/17 · openalex publication_date 2013/02/27 · arxiv updated 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate the charge transport in a flux-biased dissipative Cooper pair pump using the method of full counting statistics (FCS). This is used instead of a more traditional technique of integrating a very small expectation value of the instantaneous current over the pumping period. We show that the rotating wave approximation (RWA), which fails in the traditional technique, produces accurate results within the FCS method.

Citations

• Electron counting statistics and coherent states of electric current
• Experimental Determination of the Berry Phase in a Superconducting Charge Pump
• Conservation law of operator current in open quantum systems
• Single Cooper-pair pumping in the adiabatic limit and beyond
• Observation of Berry's Phase in a Solid-State Qubit
• Connecting Berry’s phase and the pumped charge in a Cooper pair pump
• Quantal phase factors accompanying adiabatic changes