Abstract
We propose a method to create selective interactions with Dicke-Stark model by means of a 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 the two-level system and controlling the evolution time.
Highlights
Quantum entanglement is one of the most prominent properties of quantum states that has no classical analog [1]
Selective interactions have a wide range of applications in quantum information theory, such as entanglement states generation
The results show that one can obtain high fidelity by properly choosing frequencies of two-level systems
Summary
Quantum entanglement is one of the most prominent properties of quantum states that has no classical analog [1]. Selective interactions have a wide range of applications in quantum information theory, such as entanglement states generation. In [25], Cong et al studied the selective kphotonic interactions in the quantum Rabi model with Stark term, which is termed Rabi-Stark model [26,27,28] and selective interactions can be used to create photonic Fock states. Such model attract much attentions in recent years [29,30,31].
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