Transport in adiabatic quantum pumps

G. M. Graf, A. Elgart, L. Sadun, K. Schnee

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

A quantum pump is an externally driven device coupled to reservoirs at equilibrium with one another. We consider transport phenomena when the electrons are independent and the driving is slow compared to the dwell time of particles in the pump. The charge transport associated with a given change of pump parameters is characterized in terms of 5-matrices pertaining to time-independent junctions. In fact, several transport properties (charge, dissipation and, at positive temperature, noise and entropy production) may be expressed in terms of the matrix of energy shift which, like Wigner’s time delay to which it is dual, is determined by the S-matrix. We discuss transport at a semiclassical level, including geometric aspects of transport such as the question of charge quantization. On the analytical side we present an adiabatic theorem on transport for open gapless systems.

Original languageEnglish
Title of host publicationXIVth International Congress on Mathematical Physics
Subtitle of host publicationLisbon, 28 July - 2 August 2003
PublisherWorld Scientific Publishing Co.
Pages171-178
Number of pages8
ISBN (Electronic)9789812704016
ISBN (Print)981256201X, 9789812562012
DOIs
StatePublished - 1 Jan 2006
Externally publishedYes

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