纠缠相干态光场驱动下∧-型三能级原子的辐射谱

采用时间演化算符方法,研究∧-型=三能级原子与纠缠相干态光场共振相互作用的辐射谱.给出了辐射谱一般公式,并讨论在纠缠相干态光场驱动下的辐射频谱结构.结果表明,无论下能级简并与否纠缠相干态光场平均光子数很小时均出现拉比分裂,且强度随双模光场纠缠程度的增加而增加.当两下能级简并时,若两模场的平均光子数较小,辐射谱呈现对称多峰结构,若两模场的平均光子数较大,辐射谱呈现对称五峰结构.当两下能级非简并时,若两模场的平均光子数较小,辐射谱呈现对称多峰结构.若两模场的平均光子数较大,辐射谱呈现对称十峰结构.纠缠相干光与非纠缠相干光辐射谱的本质差别有两点:一是双模光场强量子关联导致纠缠度越强拉比峰强度越高;二是存在纠缠时由于两模场相干性导致辐射谱呈现对称多峰结构.

Emission Spectrum of A-Type Three-Level Atom with Two-Mode Entangled Coherent States Cavity Fields

By means of time-evolution operator, we have studied the emission spectrum of a Λ-type three-level atom interacting resonantly with two-mode entangled coherent-states cavity fields. The physical spectrum expression of radiation emitted by the atom is given. We have discussed the structure of the emission spectrum for an entangled coherent-states input. The results indicate that whether two lower levels are degeneracy or not, the emission spectra of Λ-type three-level atom show Rabi splitting when the average photon number of two-mode entangled coherent states cavity fields is very small. And intensity increases with entanglement of two-mode entangled coherent-states cavity fields. When two lower levels are degeneracy, the structure of the resonant spectra of the atomic system has many symmetric peaks if the average photon number of two-mode entangled coherent-states cavity fields is very small, and the structure of the resonant spectra of the atomic system has five symmetric peaks if the average photon number of two-mode entangled coherent-states cavity fields is very large. When two lower levels are not degeneracy, the structure of the resonant spectra of the atomic system has many symmetric peaks if the average photon number of two-mode entangled coherent-states cavity fields is very small, and the structure of the resonant spectra of the atomic system has ten symmetric peaks if the average photon number of two-mode entangled coherent-states cavity fields is very large. Two substantial differences exist between emission spectra of the atom system with two-mode entangled coherent states cavity fields and that with non-entangled coherent field. One is that, the stronger the entanglement of two-mode entangled coherent-states cavity fields is, the higher the intensity of Rabi peaks are, the other is that entangled coherent character induces the structure of symmetric multi-peak of the resonant spectra of the atomic system.