Optimal quantum pump in the presence of a superconducting lead

Abstract

We investigate the parametric pumping of a hybrid structure consisting of a normal quantum dot, a normal lead and a superconducting lead. Using the time dependent scattering matrix theory, we have derived a general expression for the pumped electric current and heat current. We have also derived the relationship among the instantaneous pumped heat current, electric current, and shot noise. This gives a lower bound for the pumped heat current in the hybrid system similar to that of the normal case obtained by Avron et al.

References in corpus (11)

• Dissipation and noise in adiabatic quantum pumps
• Adiabatic transport in nanostructures
• Optimal Quantum Pumps
• Rectification of displacement currents in an adiabatic electron pump
• Parametric pumping at finite frequency
• Effect of inelastic scattering on parametric pumping
• Noise through Quantum Pumps
• Heat current in parametric quantum pump
• Enhancement of parametric pumping due to Andreev reflection
• Quantization of adiabatic pumped charge in the presence of superconducting lead
• Parametric electron pumping through a quantum dot in the Kondo regime

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