Quantum Rabi model in a superfluid Bose-Einstein condensate
7 pags., 5 figs. ; We propose a quantum simulation of the quantum Rabi model in an atomic quantum dot, which is a single atom in a tight optical trap coupled to the quasiparticle modes of a superfluid Bose-Einstein condensate. This widely tunable setup allows us to simulate the ultrastrong coupling regime of light-matter interaction in a system which enjoys an amenable characteristic time scale, paving the way for an experimental analysis of the transition between the Jaynes-Cummings and the quantum Rabi dynamics using cold-atom systems. Our scheme can be naturally extended to simulate multiqubit quantum Rabi models. In particular, we discuss the appearance of effective two-qubit interactions due to phononic exchange, among other features. ; under the Marie Curie Actions-COFUND of the FP7. G.R. acknowledges the support from the Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT, Chile) under Grant No. 1150653. E.S. acknowledges financial support from the Spanish MINECO/FEDER under Grant No. FIS2015-69983-P and the Basque Government under Grant No. IT986-16. Financial support by the Fundación General CSIC (Programa ComFuturo) is acknowledged by C.S as well as additional support from the Spanish MINECO/FEDER under Grant No. FIS2015-70856-P and the CAM PRICYT Project QUITEMAD+S2013/ICE-2801. ; Peer Reviewed