Quantum simulator of link models using spinor dipolar ultracold atoms

TL;DR

This paper introduces a scheme for simulating quantum link models using spinor dipolar ultracold atoms in two-dimensional lattices, leveraging hyperfine level dynamics without fine-tuning, and discusses extensions to three dimensions.

Contribution

It presents a novel, parameter-tuning free method for quantum simulation of link models with ultracold atoms, including derivation approaches and 3D extensions.

Findings

Effective simulation scheme for 2D quantum link models

Comparison with existing schemes in literature

Extension framework for 3D lattices

Abstract

We propose a scheme for the quantum simulation of quantum link models in two-dimensional lattices. Our approach considers spinor dipolar gases on a suitably shaped lattice, where the dynamics of particles in the different hyperfine levels of the gas takes place in one-dimensional chains coupled by the dipolar interactions. We show that at least four levels are needed. The present scheme does not require any particular fine-tuning of the parameters. We perform the derivation of the parameters of the quantum link models by means of two different approaches, a non-perturbative one tied to angular momentum conservation, and a perturbative one. A comparison with other schemes for $(2+1)$-dimensional quantum link models present in literature is discussed. Finally, the extension to three-dimensional lattices is presented, and its subtleties are pointed out.