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Quantum simulator of link models using spinor dipolar ultracold atoms

Pierpaolo Fontana*

Joao C. Pinto Barros

Andrea Trombettoni

  • SISSA and INFN, Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy

  • Institut für Theoretische Physik, ETH Zürich, Wolfgang-Pauli-Str. 27, 8093 Zürich, Switzerland

  • Department of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste, Italy and SISSA and INFN, Sezione di Trieste, Via Bonomea 265, I-34136 Trieste, Italy

  • *Present address: ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Barcelona, Spain; pfontana@sissa.it
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Phys. Rev. A 107, 043312 – Published 11 April, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.043312

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 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.

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Information

Phys. Rev. A 107, 043312– Published 11 April, 2023
  • Received 8 November 2022
  • Revised 28 March 2023
  • Accepted 30 March 2023
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