The Quantum Dynamics of the Interaction of an Entangled Atom with the Light Field

Abstract: The investigations concerning the interaction of atomic system with the light field are attracting a lot of attention. The nonclassical properties related to the light-atom system have observed such as the squeezing of the light or the quantum collapse and revival. These nonclassical states have important applications such as sensitive detection, quantum communication and quantum computation. In this paper, based on the research that the entangled atoms interact with the degenerate double-photon, the quantum dynamics of the interaction of an entangled atom with the nondegenerate double-photon light field are investigated via theoretical computations. the influence of the Kerr effects on the nonclassical properties related to the light-atom system are further studied.In this paper, there are two parts. In part one (include preface and chapter one), progress in the light field on the quantum dynamics of the interaction of an entangled atom are reviewed, and some conceptions of the non-classical effects are introduced such as the EPR paradox, non-local effect, entangled state, entangled degree, coherent state and the criterion .The part two includes chapter two, chapter three,in which my research results are introduced. It’s the main contents of the paper. In chapter two, we study the interaction of one of the two entangled two-energy-level atoms with the nondegenerate double-photon. The atom state is selectively detected after exiting from the cavity, and it is found that the non-classical properties of the light field depend strongly on the entanglement degree between the two atoms. With the increase of the entanglement degree, the amplitude of the collapse and revival of the average photon numbers becomes smaller, and the degrees of second-order coherence of the lights become smaller, too.In chapter three, we study the influence of the Kerr effect on the average photon numbers, the degrees of second-order coherence and the Cauchy-Schwartz inequality based on the model that one of the two entangled two-level atoms interacts with the non-degeneration two-photon cavity filled with Kerr medium . After selectively detection on one of the atoms at certain particular entanglement degree, the period of the collapse and revival of the average photon numbers, the degrees of second-order coherence of the lights, and the Cauchy-Schwartz inequality are influenced evidently by the Kerr effect…
Key words: Entanglement degree; Entanglement Swapping; Nondegenerate double-photon; Seconded-order Quantum Coherence

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