Geometry, Statistics and Asymptotics of Quantum Pumps
Mesoscale and Nanoscale Physics
2009-10-31 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
We give a pedestrian interpretation of a formula of Buttiker et. al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We relate the charge in BPT to Berry's phase and the corresponding Brouwer pumping formula to curvature. As applications we derive explicit formulas for the joint probability density of pumping and conductance when the S matrix is uniformly distributed; and derive a new formula that describes hard pumping when the S matrix is periodic in the driving parameters.
Keywords
Cite
@article{arxiv.cond-mat/0002194,
title = {Geometry, Statistics and Asymptotics of Quantum Pumps},
author = {J. E. Avron and A. Elgart and G. M. Graf and L. Sadun},
journal= {arXiv preprint arXiv:cond-mat/0002194},
year = {2009}
}
Comments
RevTex, 4 pages, 2 figures