Interaction dependence of the Hall response for the Bose-Hubbard triangular ladder

TL;DR

This paper investigates how the Hall response in a Bose-Hubbard triangular ladder varies with interaction strength, revealing its potential to identify different quantum phases and effects of frustration.

Contribution

It provides a comprehensive analysis combining numerical simulations and analytical calculations to understand the Hall response across various interaction regimes in a frustrated lattice system.

Findings

Hall response distinguishes different chiral phases.

Strong interactions induce frustration effects detectable via Hall response.

Phase boundaries can be identified through Hall polarization measurements.

Abstract

We explore the behavior of the Hall response of a Bose-Hubbard triangular ladder in a magnetic field as a function of the repulsive on-site atomic interactions. We consider a wide range of interaction strengths, from the weakly interacting limit to the hardcore regime. This is realized by computing the Hall polarization following the quench of a weak linear potential which induces the flow of a current through the system, using time-dependent matrix product state numerical simulations. We complement our understanding in the regime of small magnetic fields by analytical calculations of the equilibrium value of the Hall polarization for non-interacting bosonic atoms, or under a mean-field assumption. The Bose-Hubbard triangular flux ladder exhibits a rich phase diagram, containing Meissner, vortex and biased-chiral superfluid phases. We show that the Hall response can be employed to fingerprint the various chiral state, the frustration effects occurring in the limit of strong interactions, and the phase boundaries of the equilibrium phase diagram.