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Quantum simulator of link models using spinor dipolar ultracold atoms

2023; American Physical Society; Volume: 107; Issue: 4 Linguagem: Inglês

10.1103/physreva.107.043312

2469-9942

Pierpaolo Fontana, João C. Pinto Barros, Andrea Trombettoni,

Quantum many-body systems

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.