Pumping in quantum dots and non-Abelian matrix Berry phases
arXiv:0706.0947 · doi:10.1016/j.ssc.2008.01.003
Abstract
We have investigated pumping in quantum dots from the perspective of non-Abelian (matrix) Berry phases by solving the time dependent Schr{ö}dinger equation exactly for adiabatic changes. Our results demonstrate that a pumped charge is related to the presence of a finite matrix Berry phase. When consecutive adiabatic cycles are performed the pumped charge of each cycle is different from the previous ones.