A fast scheme for the implementation of the quantum Rabi model with   trapped ions
  We show how to produce a fast quantum Rabi model with trapped ions. Its importance resides not only in the acceleration of the phenomena that may be achieved with these systems, from quantum gates to the generation of nonclassical states of the vibrational motion of the ion, but also in reducing unwanted effects such as the decay of coherences that may appear in such systems. 
H.M. Moya-Cessa
quant-ph