The Properties Of The Quantum Of The Atom Interacting With The Glauber-Lachs State In The Multi-photon Process

One of the significant progresses in quantum optics is structure ofnon-classical superposition field, the theoretical study of quantum opticsfurther close to the actual situation. To study the quantum effects of morerealistic and complex process of the atoms interacting with the light fieldbecome a reality. Glauber-Lachs state as the constructed quantum field state,because it is the drift quantum state between the coherent state and thethermal field, which describes the superimposed field caused by the coherentfield and the thermal, got well attention. In the multi-photon transition process,the quantum effects of atoms interacting with the Glauber-Lachs state arestudied by means of the full quantum theory in this thesis. The main contentof this paper are as follows:(1) The theories on quantum entanglement, the method in quantumentanglement measurement and the theories on information entropy squeezingare briefly introduced.(2) The influences of the mean number of the coherent photons, themean number of the thermal photons, the number of the transition photonsand the atomic initial state on the entanglement properties of an atominteracting with the Glauber-Lachs state in the multi-photonJaynes-Cummings model are discussed. The results indicate that theentanglement is a non-monotonic function of the mean number of coherentphotons and the mean number of thermal photons; With the increasing of thenumber of the transition photons, the oscillation frequency of theentanglement degree of the system is increased obviously and the averageentanglement degree of the system is decreased; And the atomic initial stateaffects the entanglement degree of the system obviously, although themixedness degree of the atomic initial state tend to the ground state and to theexcited state are identical, the effects on the average entanglement of the system are different; The higher the degree of the initial mixedness of theatom is, the more obvious the influence on the entanglement degree of thesystem by the number of the transition photons will be.(3) With the multi-photon transition, the influences of the mean numberof the coherent photons, the mean number of the thermal photons and thenumber of the transition photons on the entanglement properties of two atomsinteracting with the Glauber-Lachs state are discussed. The results indicatethat the entanglement is a non-monotonic function of the mean number ofcoherent photons; With the increasing of the mean number of the thermalphotons and the number of the transition photons, the entanglement degree ofthe atoms is decreased; With the Two-photon transition, the time evolution ofthe entanglement degree appears periodic change.(4) The influences of the mean number of the coherent photons, theaverage number of the thermal photon, the number of the transition photonsand the atomic initial state on the information entropy squeezing of the atominteracting with the Glauber-Lachs state in multi-photon Jaynes-Cummingsmodel are studied. The results indicate that there is no entropy squeezing inthe X component of information entropy of the atom at any instant of the timeevolution of the system. But there exists an entropy squeezing in the Ycomponent of information entropy of the atom during the time evolutionwhen the mean number of coherent photons takes an appropriate value. Themean number of thermal photons and the mean number of coherent photonshave a destructive effect on the entropy squeezing in the Y component ofinformation entropy of the atom.The atomic initial state has no effect on theentropy squeezing in the Y component of information entropy of the atom. Ifthe number of the transition photons equals to two, the time evolution of theentropy squeezing factor appears periodic change.