【作者】 陈锋；

【导师】 王中结；

【作者基本信息】 安徽师范大学 ， 光学， 2007， 硕士

【摘要】 纠缠原子与光场相互作用的动力学是人们广泛关注的一个研究问题,因为原子与光场相互作用所表现出的性质在微信号检测、量子通信与量子计算领域中有重要的应用。本论文主要是运用全量子理论和数值计算的方法,在简并双光子与纠缠原子相互作用研究的基础上,研究了非简并双光子与纠缠原子相互作用系统的非经典性质,并进一步研究了Kerr效应对光场与原子系统性质的影响。本论文由两大部分组成,第一部分包括前言和第一章,介绍了量子光学的研究进展,本研究工作的背景和意义,以及对EPR佯谬、量子非局域性、纠缠态、纠缠度、相干态、量子光场的非经典判据等理论知识。第二部分由第二、三章组成,介绍了本人的研究成果,是论文的重点内容。第二章研究了一对纠缠的二能级原子之一与非简并双光子的相互作用。研究结果表明,当该原子离开腔被选测性测量后,随着原子纠缠度的增加,光场的平均光子数崩塌回复振荡的振幅减小,回复周期几乎不变,光场两模间的二阶关联程度减弱。在第三章中,研究了在充满Kerr介质的光腔中,一对纠缠的二能级原子之一与非简并双光子的相互作用。研究结果表明,当该原子离开腔被选测性测量后,在纠缠度一定时,Kerr效应使光场平均光子数的崩塌回复周期减小,光场的二阶相干度减弱,使Cauchy-Schwartz不等式关联程度减弱。更多还原

【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.更多还原