Quantum pumping and dissipation in closed systems

TL;DR

This paper explores how current can be induced in closed quantum systems through parameter changes, analyzing charge transport and dissipation using linear response theory, with emphasis on adiabatic versus non-adiabatic regimes.

Contribution

It clarifies the distinction between adiabatic and non-adiabatic regimes in quantum pumping and provides a method to calculate the generalized conductance G in closed systems.

Findings

Derived the relation dQ = -G dX in the low-frequency limit.

Analyzed the subtle limit of infinite systems in quantum pumping.

Provided a framework to compute charge pushed by a moving scatterer.

Abstract

Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows to analyze both the charge transport and the associated dissipation effect. We make a distinction between adiabatic and non-adiabatic regimes, and explain the subtle limit of an infinite system. As an example we discuss the following question: What is the amount of charge which is pushed by a moving scatterer? In the low frequency (DC) limit we can write dQ=-GdX, where dX is the displacement of the scatterer. Thus the issue is to calculate the generalized conductance $G$.