PhysIcS Physics4,68(2011 Viewpoint The dialogue between quantum light and matter Enrique Solano Departamento de Quimica Fisica, Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao Dain The Rabi model (rm) describes the simplest interaction between light and matter Although this model has had an impressive impact on many fields of physics ---many physicists may be surprised to know that the quantum Rabi model has never been solved exactly. I other words, it has not been possible to write a closed-form, analytical solution for itThe Rabi model (RM) describes the simplest interaction between light and matter. Although this model has had an impressive impact on many fields of physics --- many physicists may be surprised to know that the quantum Rabi model has never been solved exactly. In other words, it has not been possible to write a closed-form, analytical solution for it