Bosonic integer quantum Hall effect in optical flux lattices

TL;DR

This paper proposes a feasible method to realize the bosonic integer quantum Hall effect in optical flux lattices, demonstrating its topological properties and stability through numerical calculations.

Contribution

It introduces a realistic implementation of the bosonic integer quantum Hall phase using optical flux lattices and confirms its topological nature via exact diagonalization.

Findings

System exhibits a bulk energy gap.

Quantized Hall conductance matches theoretical predictions.

Phase remains stable under experimental parameters.

Abstract

In two dimensions strongly interacting bosons in a magnetic field can realize a bosonic integer quantum Hall state, the simplest two dimensional example of a symmetry protected topological phase. We propose a realistic implementation of this phase using an optical flux lattice. Through exact diagonalization calculations, we show that the system exhibits a clear bulk gap and the topological signature of the bosonic integer quantum Hall state. In particular, the calculation of the many-body Chern number leads to a quantized Hall conductance in agreement with the analytical predictions. We also study the stability of the phase with respect to some of the experimentally relevant parameters.