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Adiabatic charge pumping in open quantum systems

J. E. Avron·A. Elgart·G. M. Graf·L. Sadun·K. Schnee
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Abstract

We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current through the pump is given by a formula of Buttiker, Pretre, and Thomas, relating it to the frozen S-matrix and its time derivative.

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J. E. Avron, A. Elgart, G. M. Graf, L. Sadun, K. Schnee. 2003-03-13. Adiabatic charge pumping in open quantum systems. https://arxiv.org/abs/math-ph/0209029

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