Statistics of an adiabatic charge pump
Statistical Mechanics
2016-02-03 v1
Abstract
We investigate the effect of time-dependent cyclic-adiabatic driving on the charge transport in quantum junction. We propose a nonequilibrium Greens function formalism to study statistics of the charge pumped (at zero bias) through the junction. The formulation is used to demonstrate charge pumping in a single electronic level coupled to two (electronic) reservoirs with time dependent couplings. Analytical expression for the average pumped current for a general cyclic driving is derived. It is found that for zero bias, for a certain class of driving, the Berry phase contributes only to the odd cumulants. To contrast, a quantum master equation formulation does not show Berry-phase effect at all.
Keywords
Cite
@article{arxiv.1510.00336,
title = {Statistics of an adiabatic charge pump},
author = {Hari Kumar Yadalam and Upendra Harbola},
journal= {arXiv preprint arXiv:1510.00336},
year = {2016}
}