What books/book chapters are good for learning adiabatic elimination in great depth?
Adiabatic elimination of what?
Adiabatic elimination of atomic states. For example, eliminating the off-resonant states in the context of quantum optics.
I don't know what is your level, but a very good, avdanced treatment is found in Claude Cohen-Tannoudji, Jacques Dupont-Roc, Gilbert Grynberg, Atom - Photon Interactions: Basic Process and Appilcations (Wiley).
If you want something more rigorous:
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