Abstract
We derive an effective Lindblad equation to describe the dynamics of dressed states in dissipative quantum systems. The intermediate states can be adiabatically eliminated under some matrix operations, when the energy gap between the two dressed subspaces is larger than the coupling between the system and the external field. Under the standard perturbation theory, we deduce the fourth-order Lindblad equation beyond the well-known second-order version. Through two typical examples, a three-level system of single atom and two coupled three-level systems with two atoms, we display the application of our fourth-order Lindblad equation and emphasize its importance in exploring the dynamics of the dissipative quantum system.
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