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Summary: Adiabatic Charge Pumping in Open Quantum Systems
JOSEPH E. AVRON
Technion
ALEXANDER ELGART
Courant Institute
GIAN MICHELE GRAF
ETH Hönggerberg
LORENZO SADUN
University of Texas at Austin
AND
KAI SCHNEE
California Institute of Technology
Abstract
We introduce a mathematical setup for charge transport in quantum pumps con-
nected to a number of external leads. It is proven that under the rather general
assumption on the Hamiltonian describing the system, in the adiabatic limit, the
current through the pump is given by a formula of Büttiker, Prêtre, and Thomas,
relating it to the frozen S matrix and its time derivative. c 2004 Wiley Period-
icals, Inc.
1 Introduction
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