An analytical solution is found for the master equation of a system described
by a nonlinear Jaynes–Cummings model, in the presence of nonlinear quantum
dissipation at zero temperature in the large detuning approximation. We study
the influence of nonlinear quantum dissipation on the output entanglement
dynamics of the atom–field system, considering the field to be initially in
SU(1, 1) coherent states. It is found that in the presence of the nonlinear
quantum dissipation, the amplitude of the output entanglement between the
field and the atom decreases with time, however the entanglement between the
field–atom system and the environment increases with time.