Adiabatic charge pumping in open quantum systems
Mathematical Physics
2007-05-23 v2 math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0209029,
title = {Adiabatic charge pumping in open quantum systems},
author = {J. E. Avron and A. Elgart and G. M. Graf and L. Sadun and K. Schnee},
journal= {arXiv preprint arXiv:math-ph/0209029},
year = {2007}
}
Comments
30 pages, 1 figure, updated version