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.
@article{arxiv.1107.5233,
title = {Quantum Simulation of Quantum Field Theories in Trapped Ions},
author = {J. Casanova and L. Lamata and I. L. Egusquiza and R. Gerritsma and C. F. Roos and J. J. Garcia-Ripoll and E. Solano},
journal= {arXiv preprint arXiv:1107.5233},
year = {2012}
}