Proposal for realizing Heisenberg-type quantum-spin models in Rydberg atom quantum simulators

ORAL

Abstract

We propose a method for experimentally realizing Heisenberg-type quantum-spin models in Rydberg-atom quantum simulators. In Rydberg-atom quantum simulators, the Heisenberg model has been realized experimentally using Floquet-engineering techniques [1,2]. In contrast to these works, our starting point is the XXZ model, which can be realized using a pair of Rydberg states, nS1/2 and (n+1)S1/2. We show that the anisotropy parameter of the XXZ model can be tuned by applying a uniform magnetic field and, in particular, that it changes drastically near the Forster resonance points [3]. We find that the spin-1/2 Heisenberg model can be realized for various parameters of alkali atoms. In addition, spin-1 Heisenberg-type quantum-spin models can also be realized in Rydberg-atom quantum simulators.

[1] S. Geier et al., Science 374, 1149 (2021).

[2] P. Scholl et al., PRX Quantum 3, 020303 (2022).

[3] M. Kunimi and T. Tomita, arXiv: 2507.22461 (accepted for publication in Phys. Rev. A Letters).

*This work was supported by JSPS KAKENHI Grants No. JP25K00215 (M.K.), JST ASPIRE No. JPMJAP24C2 (M.K.). MEXT Quantum Leap Flagship Program (MEXT Q-LEAP) JPMXS0118069021 (T.T.) and JST Moonshot R&D Program Grant Number JPMJMS2269 (T.T.).

Publication: M. Kunimi and T. Tomita, arXiv: 2507.22461 (accepted for publication in Phys. Rev. A Letters).

Presenters

  • Masaya Kunimi

    • Tokyo University of Science

Authors

  • Masaya Kunimi

    • Tokyo University of Science
  • Takafumi Tomita

    • Institute for Molecular Science