Comparison of quantization of charge transport in periodic and open pumps

TL;DR

This paper compares charge transport in periodic and open quantum pumps, showing that their transported charge results converge in the large open pump limit, thus unifying the understanding of these systems.

Contribution

It demonstrates the equivalence of charge transport in periodic and open quantum pumps in the large system limit, connecting two previously separate models.

Findings

Results agree in the large open pump limit

Charge transport formulas converge for both systems

Provides a unified understanding of quantum pump charge transport

Abstract

We compare the charges transported in two systems, a spatially periodic and an open quantum pump, both depending periodically and adiabatically on time. The charge transported in a cycle was computed by Thouless, respectively by Buttiker et al. in the two cases. We show that the results agree in the limit where the two physical situations become the same, i.e., that of a large open pump.