Floquet Formalism of Quantum Pumps

TL;DR

This paper reviews the Floquet formalism for quantum electron pumps, highlighting its ability to analyze both adiabatic and non-adiabatic regimes and deriving the adiabatic formula from it.

Contribution

It introduces a Floquet-based approach to quantum pumps that extends analysis beyond the adiabatic limit and connects with Brouwer's formula.

Findings

Floquet formalism effectively describes non-adiabatic quantum pumping.

Adiabatic formula is derived as a limit of Floquet theory.

Comparison of properties in adiabatic and non-adiabatic regimes.

Abstract

We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known adiabatic formula given by Brouwer can be derived from the adiabatic limit of Floquet formalism. We compare various physical properties of the quantum pump both in the adiabatic and in the non-adiabatic regime using the Floquet theory.