# Quantum magnetism with ultracold bosons carrying orbital angular momentum

## TL;DR

This paper demonstrates how ultracold bosons in orbital angular momentum states can simulate various quantum spin models, with tunable interactions and potential for experimental realization.

## Contribution

It introduces a method to realize and control spin-1/2 quantum magnetism models using ultracold bosons in specific orbital states, including system geometry and coupling tunability.

## Key findings

- Realization of $XYZ$ Heisenberg models with ultracold bosons
- Tunable effective couplings based on system geometry
- Enhanced stability using ring-shaped trapping potentials

## Abstract

We show how strongly correlated ultracold bosonic atoms loaded in specific orbital angular momentum states of arrays of cylindrically symmetric potentials can realize a variety of spin-1/2 models of quantum magnetism. We consider explicitly the dependence of the effective couplings on the geometry of the system and demonstrate that several models of interest related to a general $XYZ$ Heisenberg model with external field can be obtained. Furthermore, we discuss how the relative strength of the effective couplings can be tuned and which phases can be explored by doing so in realistic setups. Finally, we address questions concerning the experimental read-out and implementation and we argue that the stability of the system can be enhanced by using ring-shaped trapping potentials.