High field fractional quantum Hall effect in optical lattices

TL;DR

This paper models interacting bosons in optical lattices under strong magnetic fields, revealing novel fractional quantum Hall states with sign-changing Hall currents and proposing detection methods.

Contribution

It introduces a bilayer fractional quantum Hall model for optical lattices near rational magnetic fluxes and explores its unique properties and detection techniques.

Findings

Ground states with fractional fillings identified

Unexpected sign changes in Hall current observed

Proposed shot noise and Hall measurements for detection

Abstract

We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements.