If you want to know more about how to use trapped ions for quantum simulation of spin models, you can read this thorough review, that covers both the basics and the most recent results in the field. Enjoy!

• Programmable Quantum Simulations of Spin Systems with Trapped Ions:
  C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. Hess, R. Islam, K. Kim, G. Pagano, P. Richerme, C. Senko, N. Y. Yao, Review of Modern Physics, 93, 025001 (2021).