AsimplemethodispresentedforgeneratingmulticomponentSchroedingercatstatesthroughresonantatomfieldinteractions.Intheschementwo-levelatoms,initiallyingroundstates,aresentthrougharesonantcavityfilledwithastrongcoherentfieldsequentially.Thenstate-selectivemeasurementsareperformedontheatoms.Thedetectionsoftheatomsingroundstatescollapsethecavityfieldontoasuperpositionof2^ncoherentstates.Thisisthefirstwayforproducingsuperpositionsofmanycoherentstatesthroughresonantatom-fieldinteraction.