# Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields

## TL;DR

This paper studies the ground state phases of ultracold long-range interacting atoms in a two-leg ladder under artificial magnetic fields, revealing phase boundaries and supersolid regions through mean-field and numerical methods.

## Contribution

It introduces a combined theoretical approach to analyze phase diagrams of the extended Bose-Hubbard model in ladder systems with magnetic flux.

## Key findings

- Identified phase boundaries between density-wave, supersolid, Mott-insulator, and superfluid phases.
- Discovered regions of supersolidity influenced by magnetic flux.
- Validated mean-field results with cluster mean field numerical simulations.

## Abstract

We investigate the ground state properties of ultracold atoms with long range interactions trapped in a two leg ladder configuration in the presence of an artificial magnetic field. Using a Gross-Pitaevskii approach and a mean field Gutzwiller variational method, we explore both the weakly interacting and strongly interacting regime, respectively. We calculate the boundaries between the density-wave/supersolid and the Mott-insulator/superfluid phases as a function of magnetic flux and uncover regions of supersolidity. The mean-field results are confirmed by numerical simulations using a cluster mean field approach.