Study On The Non-Classical And The Quantum Entanglement Properties In Tavis-Cummings Model With Multi-Photon Gaussian Coupling

Quantum optics deals specifically with quantum statistical properties oflight field and the interaction of photons with matter by the means of thequantum theory. The problem concerned about the interaction between opticalfield and atoms in a system has been a very active subject in the field ofquantum optics. The study of the quantum properties in the system of theatom interacting with the field has been devoted to considerable attention. It isone of the important contents for the quantum optics to study of the fieldentropy and non-classical properties in a system for the atoms interacting withthe field. In this paper, it is mainly discussed that the non-classical and thequantum entanglement properties of atoms in Gaussian couplingTavis-Cummings model in the multi-photon transition process. The maincontent of this thesis are as follows:(1) The simple development of quantum optics and the non-classicalproperties of the field are introduced. Quantum reduced entropy and Gaussiancoupling Tavis-Cummings model in the multi-photon are explained.(2) The quantum properties of atoms in Gaussian couplingTavis-Cummings model in the multi-photon transition process are studied.The influence on atomic population inversion from atomic motion, the mean photon number in initial states of the light field, number of transition photonsin the multi-photon transition process are discussed. The results show that thevariation of atomic motion changes the time for effective action betweenatomic population inversion, double-atom dipole squeezing and fight field.The variation of number of transition photons changes oscillation amplitudeand frequency of time evolution of atomic population inversion anddouble-atom dipole squeezing.(3) The properties of entanglement evolution between field and twoatoms in Gaussian coupling Tavis-Cummings model in the multi-photontransition process are studied by means of the quantum theory. The influenceon the properties of entanglement evolution between field and two atomsfrom atomic motion, the mean photon number in initial states of the light field,number of transition photons in the multi-photon transition process arediscussed. The results show that the variation of atomic motion changes thetime for effective action to evolution of field entropy. Initial states of the lightfield affect evolution period to field entropy. With increasing of the numberof transition photons, the oscillation frequency and the degree ofentanglement between field and atoms become larger.(4) The entanglement properties of two-atom in Gaussian couplingTavis-Cummings model in the multi-photon transition process are studied bymeans of the quantum theory. The influence on the entanglement properties oftwo-atom from atomic motion, the mean photon number in initial states of the light field, number of transition photons in the multi-photon transition processare discussed. The results show that the motion affects entanglementproperties of two-atom. With the increase of the mean photon number,entanglement measure of two-atom increases gradually. With increasing ofthe number of transition photons, the oscillation frequency of entanglementmeasure of two-atom becomes larger, and the degree of entanglementmeasure of two-atom becomes smaller.