Quantum simulation of quantum field theories in trapped ions
We propose the quantum simulation of fermion and 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. © 2011 American Physical Society. ; J. C. acknowledges support from Basque Government Grant No. BFI08.211. L. L. thanks the European Commission for a Marie Curie IEF grant. I. L. E. is grateful to Basque Government Grant No. IT559-10. J. J. G.-R. acknowledges funding from Spanish MICINN Projects No. FIS2009-10061 and CAM Project No. QUITEMAD S2009-ESP-1594. E. S. is grateful to Basque Government Grant No. IT472-10, Spanish MICINN FIS2009-12773- C02-01, SOLID and CCQED European projects. ; Peer Reviewed