  We propose a method to create selective interactions with Dicke-Stark model
by means of time-dependent perturbation theory. By choosing the proper rotating
framework, we find that the time oscillating terms depend on the number of
atomic excitations and the number of photonic excitations. Consequently, the
Rabi oscillation between selective states can be realized by properly choosing
the frequency of the two-level system. The second order selective interactions
can also be studied with this method. Then various states such as Dicke states,
superposition of Dicke states and GHZ states can be created by means of such
selective interactions. The numerical results show that high fidelity Dicke
states and Greenberger-Horne-Zeilinger states can be created by choosing the
proper frequency of two-level system and controlling the evolution time.
