Quantum pumping and dissipation in closed systems
arXiv:cond-mat/0510318 · doi:10.1016/j.physe.2005.05.028
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 .
12 pages, 6 figures, Lecture notes for the proceedings of the conference "Frontiers of Quantum and Mesoscopic Thermodynamics" [Prague, July 2004]