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 to simulate the ultrastrong coupling regime of light-matter interaction in a system which enjoys an amenable characteristic timescale, 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 multi-qubit quantum Rabi models. In particular, we discuss the appearance of effective two-qubit interactions due to phononic exchange, among other features.
@article{arxiv.1704.03211,
title = {The quantum Rabi model in a superfluid Bose-Einstein condensate},
author = {S. Felicetti and G. Romero and E. Solano and C. Sabín},
journal= {arXiv preprint arXiv:1704.03211},
year = {2017}
}