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Dressed states of spinor Bose-Einstein condensates of spin-1 atoms couplingwith optical cavity modes with far off resonance frequency are investigated.The exact solution of time evolution of population of spin component isderived, and the numerical result shows that the evolution is different fromspin mixing without the coupling. Due to the coupling with the atoms, thephoton state also evolute to different optical cavity modes.

Modification of spin mixing of spinor BEC by cavity QED coupling