Dicke State Generation Via Selective Interactions In A Dicke-stark Model

Quantum entanglement is one of the most prominent properties of quantum states that has no classical analog.So far,a variety types entanglement states have been studied theoretically and experimentally.It has also motivated a variety of quantum protocols in quantum information theory,such as teleportation,dense coding,and quantum key distribution.An important type of entangled states among them is the highly entangled Dicke states,which was firstly introduced in 1954 by Dicke.Up to now,a growing number of efforts have been devoted to generate Dicke states,as well as superposition Dicke states,in a wide variety of quantum platforms,such as trapped ions and circuit QED system.Selective interactions have a wide range of applications in quantum information theory,such as entanglement states generation.Such special interactions arise from the possibility of tuning to resonance transitions inside a chosen Hilbert subspace,while leaving other transitions dispersive.Recently,Cong et al studied the selective k-photonic interactions in the quantum Rabi model with Stark term,which is termed Rabi-Stark model and selective interactions can be used to create photonic Fock states.Such model attract much attentions in recent years.The Stark term plays an important role in dynamical selectivity.This nonlinear coupling term was also added to the Dicke model,which is a fundamental model of quantum optics to describe the interactions between light and matter.The existence of Stark term in the Dicke-Stark model can be used to create nonlinear energy levels,which will be used to generate entangled states selectively.In this paper,we will study the selective interactions in the Dicke-Stark model.Choosing proper rotating frame,we find the time varying terms depend on the number of excitations.Then one can choose proper frequencies of the system to obtain selective Tavis-Cummings(TC)or anti-TC interactions from the Dicke-Stark model.Considering the second order effects,the two-atomic selective interactions also can be obtained.Acting such effective interactions on the pre-selective initial states,one can obtain the selective target Dicke states,as well as superposition of Dicke states.Finally,the validity of our proposal is studied with numerical simulations.The results show that one can obtain high fidelity by properly choosing frequencies of two-level systems.