Quantum simulator of link models using spinor dipolar ultracold atoms

• URL: http://arxiv.org/abs/2210.14836v2
• Date: Tue, 28 Mar 2023 10:01:24 GMT
• Title: Quantum simulator of link models using spinor dipolar ultracold atoms
• Authors: Pierpaolo Fontana, Joao C. Pinto Barros, Andrea Trombettoni
• Abstract summary: Scheme for the quantum simulation of quantum link models in two-dimensional lattices is presented. We derivation the parameters of the quantum link models by means of two different approaches. The extension to three-dimensional lattices is presented, and its subtleties are pointed out.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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