Quantum pumping: Coherent Rings versus Open Conductors

Abstract

We examine adiabatic quantum pumping generated by an oscillating scatterer embedded in a one-dimensional ballistic ring and compare it with pumping caused by the same scatterer connected to external reservoirs. The pumped current for an open conductor, paradoxically, is non-zero even in the limit of vanishing transmission. In contrast, for the ring geometry the pumped current vanishes in the limit of vanishing transmission. We explain this paradoxical result and demonstrate that the physics underlying adiabatic pumping is the same in open and in closed systems.

4 pages, 2 figures

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Cited by in corpus (24)

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• Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
• Quantum pumping and dissipation: from closed to open systems
• Nonadiabatic charge pumping by oscillating potentials in one dimension: results for infinite system and finite ring
• Quantum Stirring in low dimensional devices
• Effects of interaction on an adiabatic quantum electron pump
• Quantum pumping: The charge transported due to a translation of a scatterer
• Floquet Formalism of Quantum Pumps
• Quantum pump effect in one-dimensional systems of Dirac fermions
• Net current generation in a 1D quantum ring at zero magnetic field
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Finger-gate array quantum pumps:pumping characteristics and mechanisms
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• Operating a quantum pump in a closed circuit
• Adiabatic charge pumping through a dot at the junction of N quantum wires
• Quantum pumping and dissipation in closed systems
• Persistent Currents in Normal Metal Rings (Yale PhD thesis)
• Quantum dynamics and transport in a double well system
• Non-adiabatic pumping in an oscillating-piston model
• Pumping current of a Luttinger liquid with finite length
• Geometric phases of scattering states in a ring geometry: adiabatic pumping in mesoscopic devices
• Nonadiabatic generation of spin currents in a quantum ring with Rashba and Dresselhaus spin-orbit interactions