The Quantum Properties Of A Two-level Atom In Non-magnetic Uniaxial Anisotropic Materials With Dispersion Geometry Of Ellipsoid

Non-magnetic uniaxial anisotropic media is a widely studied material that exhibits many different physical properties from isotropic material. In this paper, we study the spontaneous emission of a two-level atom embedded in non-magnetic uniaxial anisotropic material which consists of a periodic double-layer structure of silver and TiO2 slabs. The resonant fluorescence spectra and the squeezing of resonant fluorescence spectra of the two-level atom driven by strong pump field are discussed . First, from the system's Hamil-tonian, we derive the main equation and the Bloch equation of the two-level atom under the dressed-state representation by the transformation of picture and the second-order per-turbation theory. Secondly, by using the Bloch equation, the quantum regression theorem and the Laplace transform, we obtain the analytic expressions of the resonance fluores-cence spectra and squeezing spectrum of resonant fluorescence of the two-level atom, and find the spectral distribution is mainly determined by the spontaneous emission rate of the atom . Based on the Green's function in non-magnetic uniaxial anisotropic material, it is found that the spontaneous emission rate of the two-level atom depends on the effective permittivity of the material. In addition, according to the relationship between the effec-tive permittivity of the material and the electromagnetic field frequency in the material, we select the electromagnetic field frequency of the material which satisfying the ellipsoidal dispersion as the research range.The results show that the Purcell coefficient of the two-level atom embedded in the material is closely related to the frequency of the electromagnetic field in the material with considering the lossless of material. The resonance fluorescence spectrum of the two-level atom is not completely symmetrical and the peak value on the right side is larger than the left peak, the squeezing of resonant fluorescence spectra can be observed. In addition, the Purcell coefficient, the resonant fluorescence spectrum and the squeezing of resonant flu-orescence spectra of the two-level atom are mainly determined by the extraordinary light emitted by the two-level atom in the light field. At the same time, in the case of material loss, we find that the spontaneous emission rate of the two-level atom is less than half of the lossless metamaterial, but the squeezing of resonant fluorescence spectra of the atoms is doubled. Finally, we investigated the spontaneous emission of two-level atoms embedded in non-magnetic uniaxial anisotropic material which consists of a periodic double-layer structure of GaN and SiO2 slabs with considering the lossless of material. The resonant fluorescence spectra and the squeezing of resonant fluorescence spectra of the two-level atom driven by strong pump field are discussed in consideration of the lossless materi-al. The results are similar to those of the two-level atoms in the non-magnetic uniaxial anisotropic material formed by a periodic double-layer structure of silver and TiO2 slabs without considering the loss of material.