双模纠缠相干光与Bell态原子系统的光子统计

Statistic Properties of Photon in the System of the Two-mode Entangled Coherent Field Interacting with Atoms in Bell States

运用全量子理论并结合数值计算方法,研究了处于Bell态的两个全同二能级纠缠原子与双模纠缠相干光场相互作用系统的光子统计性质.分析了双原子体系的初态、光场的平均光子数、双模纠缠相干光场的纠缠程度以及双原子体系的原子间耦合强度对双模光场的光子统计性质的影响.结果表明:双原子体系的初态为|β00〉、|β10〉时,光场在其演化过程中不出现光子的反聚束效应;而当原子初态为|β01〉或|β11〉时,在一定的条件下可出现光子的反聚束效应.并且在光场的演化过程中,光子的反聚束效应出现的次数、时间和深度极其敏感地依赖于初始光场的平均光子数,而受到双模纠缠光场的纠缠程度以及双原子间偶极作用强度的影响很微弱.

The statistic properties of photon of a light-atoms interaction system, and two atoms in Bell states interacting with two-mode entangled coherent field, were investigated by means of quantum theory and numerical method. The effect on the statistic properties of photon induced by the atomic initial state, mean photon numbers of field,the degree of the entanglement for the entangled coherent fields,and the coupling strength of dipole-dipole interaction between atoms were analyzed by numerical calculations. The results indicate that photon anti-bunching effect does not appear for the Bell state ｜β00〉 or ｜β10 ）, however there can appear the photon anti-bunching effect under some conditions for the Bell state ｜β01〉 or ｜β11〉 appears. In the case,the photon anti-bunching effect depends on the mean photon numbers intensively. The influence of the degree of entanglement for the two-mode entangled coherent fields and the coupling strength of dipoledipole interaction between atoms on the statistic properties of photon is small.