克尔介质中双模纠缠相干光与贝尔态原子相互作用系统的光子统计特性

运用全量子理论并结合数值计算方法,研究了克尔介质腔中处于贝尔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特性。讨论了双原子体系的初态、初始光场的平均光子数、双模纠缠相干光场的纠缠程度以及克尔介质与双模光场的耦合强度对光子统计特性的影响。结果表明:忽略克尔介质的作用时,只有当双原子体系的初态为0β1〉或1β1〉时,在一定的条件下才可出现光子的反聚束效应,而当双原子体系的初态为β00〉、1β0〉时,光场在其演化过程中不出现光子的反聚束效应。而当考虑克尔介质的作用时,四种初态下光场演化过程中均有可能出现光子的反聚束效应。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和克尔介质与双模光场的耦合强度,同时也受到双模纠缠光场的纠缠程度的影响。

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

The statistic properties of photon in the system of two-mode entangled coherent field interacting with two identical two-level atoms in the Bell state in Kerr medium are investigated by means of quantum theory and numerical method. 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 the Kerr medium with the light field, the effects on the statistic properties of photon are discussed. The results indicate that, if the medium is not present, photon anti-bunching effect does not appear for the Bell state β00〉 or β10〉, there can appear the photon anti-bunching effect under some conditions for the Bell state β01〉 or β11〉. If the medium is considered, there can appear the photon anti-bunching effect for all of initial states. In the case, the number of occurring , interval and intensity of the photon anti-bunching effects sensitively depend on the coupling strength of the Kerr medium with the light field, the mean photon numbers and the degree of entanglement of the two-mode entangled coherent field.