  Dynamics of double Jaynes-Cummings models are studied in the presence of
Markovian noise and cavity disorders with specific attention to entanglement
sudden death and revivals. The study is focused on the glassy disorders, which
remain unchanged during the observations. The field is initially assumed to be
in a vacuum state, while the atoms are considered to be in a specific two-qubit
superposition state. Specifically, the study has revealed that the presence of
noise, or a nonlinear pump results in interesting behaviors in the entanglement
dynamics. Further, entanglement sudden death is observed in the presence of
Markovian noise and nonlinear pump. The presence of entanglement sudden deaths
and revivals have also been observed in cases where they were absent initially
for the chosen states. The effect of noise on the dynamics of the system is to
decay the characteristics, while that of the disorder is to wash them out. On
the other hand, the introduction of nonlinearity is found to cause the dynamics
of the system to speed up.
