Fermion-fermion scattering with superconducting circuits

L. García-Álvarez^a, J. Casanova^a, A. Mezzacapo^a, I. L. Egusquiza^b, L. Lamata^a, G. Romero^a, and E. Solano^a,c

^a Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain

^b Department of Theoretical Physics and History of Science,
University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain

^c IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain

We propose a digital-analog quantum simulation of fermion-fermion scattering in the context of quantum field theories (QFTs) with superconducting circuits [1]. This quantum technology provides strong coupling between superconducting qubits with a microwave resonator, and a continuum of bosonic modes, which in turn allows us to implement a discrete set of fermionic modes interacting with the bosonic continuum. This effort may represent a significant advance towards full-fledged quantum simulation of QFTs in a controllable system.

[1] L. García-Álvarez, J. Casanova, A. Mezzacapo, I. L. Egusquiza, L. Lamata, G. Romero, and E. Solano, arXiv:1404.2868 (2014).