Quantum simulator of link models using spinor dipolar ultracold atoms

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 nonperturbative one tied to angular-momentum conservation, and a perturbative one. A comparison with other schemes for (2 + 1)-dimensional quantum link models present in the literature is discussed. Finally, the extension to three-dimensional lattices is presented, and its subtleties are pointed out.

Automated summary

We propose a scheme for quantum simulation of quantum link models in two-dimensional lattices using spinor dipolar gases. Our scheme involves one-dimensional chains coupled by dipolar interactions and requires at least four levels. The parameters of the quantum link models are derived using two different approaches, one nonperturbative and tied to angular-momentum conservation, and the other perturbative. The extension to three-dimensional lattices is also discussed.