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We show how to produce a fast quantum Rabi model with trapped ions. Itsimportance resides not only in the acceleration of the phenomena that may beachieved with these systems, from quantum gates to the generation ofnonclassical states of the vibrational motion of the ion, but also in reducingunwanted effects such as the decay of coherences that may appear in suchsystems.

A fast scheme for the implementation of the quantum Rabi model with trapped ions