Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response

TL;DR

This paper studies how the Hall response of strongly interacting bosons on a triangular ladder reveals insights into their phase diagram and can serve as a probe for chiral quantum phases in correlated materials.

Contribution

It demonstrates the use of the Hall response to explore frustration effects and phase behavior in strongly interacting bosonic systems using numerical methods.

Findings

Hall polarization correlates with phase diagram features

Short-time dynamics reveal interaction effects

Hall response can probe chiral quantum phases

Abstract

We investigate the Hall response of hardcore bosonic atoms on a triangular ladder in a magnetic field. To access the dynamical properties of this many-body quantum system, we employ matrix product states numerical methods. We show that the behavior of the Hall polarization, both in its saturation value and in the short-time dynamics, correlates with the features of the underlying phase diagram, which stem from the interplay of interactions and geometric frustration. This paves the way to employ the Hall response as a sensitive probe of many-body chiral quantum phases in strongly correlated materials.