Probing the Hall Voltage in Synthetic Quantum Systems

TL;DR

This paper explores methods to measure the Hall voltage in synthetic quantum systems, demonstrating its robustness across various parameters and its potential for direct comparison with solid state systems.

Contribution

It introduces schemes to measure the Hall voltage in quantum gases and analyzes its behavior in interacting flux ladders, revealing features not seen in Hall polarization.

Findings

Hall voltage exhibits zero crossings and robustness against interactions and geometry.

Hall voltage is more sensitive than Hall polarization to certain quantum phase features.

Site-resolved Hall response varies in inhomogeneous quantum phases.

Abstract

In the context of experimental advances in the realization of artificial magnetic fields in quantum gases, we discuss feasible schemes to extend measurements of the Hall polarization to a study of the Hall voltage, allowing for direct comparison with solid state systems. Specifically, for the paradigmatic example of interacting flux ladders, we report on characteristic zero crossings and a remarkable robustness of the Hall voltage with respect to interaction strengths, particle fillings, and ladder geometries, which is unobservable in the Hall polarization. Moreover, we investigate the site-resolved Hall response in spatially inhomogeneous quantum phases.