Quantum Stirring in low dimensional devices

TL;DR

This paper explores how circulating currents can be generated in low-dimensional quantum devices using quantum pumps, analyzing the geometric conductance and adiabatic passage effects.

Contribution

It provides explicit formulas for geometric conductance in quantum stirring and links it to adiabatic passage theory in complex geometries.

Findings

Explicit expressions for geometric conductance derived

Connection established between quantum stirring and adiabatic passage

Insights into current directionality in quantum pumps

Abstract

A circulating current can be induced in the Fermi sea by displacing a scatterer, or more generally by integrating a quantum pump into a closed circuit. The induced current may have either the same or the opposite sense with respect to the "pushing" direction of the pump. We work out explicit expressions for the associated geometric conductance using the Kubo-Dirac monopoles picture, and illuminate the connection with the theory of adiabatic passage in multiple path geometry.