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Quantum pumping and dissipation in closed systems

Doron Cohen
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Abstract

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction between adiabatic and non-adiabatic regimes, and explain the subtle limit of an infinite system. As an example we discuss the following question: What is the amount of charge which is pushed by a moving scatterer? In the low frequency (DC) limit we can write dQ=-GdX, where dX is the displacement of the scatterer. Thus the issue is to calculate the generalized conductance $G$.

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Doron Cohen. 2005-10-12. Quantum pumping and dissipation in closed systems. https://doi.org/10.1016/j.physe.2005.05.028

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