Quantum Simulation of Quantum Field Theories in Trapped Ions
  We propose the quantum simulation of a fermion and an antifermion field modes interacting via a bosonic field mode, and present a possible implementation with two trapped ions. This quantum platform allows for the scalable add-up of bosonic and fermionic modes, and represents an avenue towards quantum simulations of quantum field theories in perturbative and nonperturbative regimes. 
J. Casanova, L. Lamata, I. L. Egusquiza, R. Gerritsma, C. F. Roos, J.   J. Garcia-Ripoll, E. Solano
quant-ph cond-mat.mes-hall cond-mat.quant-gas hep-ph hep-th