  We present a framework for the realization of dissipative evolutions of
spin-boson models, including multiphoton exchange dynamics, as well as
nonlinear transition rates. Our approach is based on the implementation of a
generalized version of a dissipative linear quantum Rabi model. The latter
comprises a linearly coupled spin-boson term, spin rotations, and standard
dissipators. We provide numerical simulations of illustrative cases supporting
the good performance of our method. Our work allows for the simulation of a
large class of fundamentally different quantum models where the effect of
distinct dissipative processes can be easily investigated.
