  We construct a connection of the ultracold atomic system in a harmonic trap
with Raman-induced spin-orbit coupling to the quantum Rabi-like model. By
mapping the trapped atomic system to a Rabi-like model, we can get the exact
solution of the Rabi-like model following the methods to solve the quantum Rabi
model. The existence of such a mapping implies that we can study the basic
model in quantum optics by using trapped atomic gases with spin-orbit coupling.
