Operating a quantum pump in a closed circuit

Abstract

During an adiabatic pumping cycle a conventional two barrier quantum device takes an electron from the left lead and ejects it to the right lead. Hence the pumped charge per cycle is naively expected to be $Q\le e$. This zero order adiabatic point of view is in fact misleading. For a closed device we can get $Q>e$ and even $Q\gg e$. In this paper a detailed analysis of the quantum pump operation is presented. Using the Kubo formula for the geometric conductance, and applying the Dirac chains picture, we derive practical estimates for~$Q$.

19 pages, 8 figs, minor textual corretions, to be published in JPA

References in corpus (5)

• Quantum pumping in closed systems, adiabatic transport, and the Kubo formula
• Quantum pumping and dissipation: from closed to open systems
• Quantum pumping: Coherent Rings versus Open Conductors
• Quantum stirring of particles in closed devices
• Quantum pumping and dissipation in closed systems

Cited by in corpus (8)

• Quantum Stirring in low dimensional devices
• Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device
• Nonadiabatic pumping in classical and quantum chaotic scatterers
• Pumping in quantum dots and non-Abelian matrix Berry phases
• Multiple path adiabatic crossing in a 3 site ring
• Quantum dynamics and transport in a double well system
• Non-adiabatic pumping in an oscillating-piston model
• Multiple path transport in quantum networks