Quantum Properties In A System Of The Two-level Atom Interacting With A Coherent Light Field In The Multiphoton Anti-Jaynes-Cummings Model

The problem about the interaction between atoms and optical filed has been a very active investigation subject in the field of quantum optics. The characters of entangled states have important contributing for people to known quantum optics. It gradually goes upon quantum information stage and establishes its predominant status follow the vigorous development of quantum information science. The quantum entangled states are carrier for quantum communication and quantum computation, it widely is used for quantum teleportatio,quantum key distribution,quantum dense coding,quantum computation and so on. The quantum properties of these systems of two-level atom interacts with the two-mode entangled coherent light field,the single mode coherent light field interacts with two-level atomic mixed-state and the single mode coherent light field interacts with two identical two-level entangled atoms, is analyzed by means of the quantum theory in multi-photon anti-Jaynes-Cummings model in this paper. The major content of this paper is displayed as follows:1. The multi-photon anti-Jaynes-Cummings model,unitary time-evolution operator method,the entangled coherent light field and mixed-state of atom are introduced briefly.2. When one mode of the two-mode entangled coherent light field interacts with a two-level atom driven by a strong classical field, the quantum properties of light field is studied by means of the quantum theory in multi-photon anti-Jaynes-Cummings model. The influence for the parameters of transition photon number,time and the initial state of the light field on the anti-bunching phenomenon and squeezing phenomenon of light field that doesn't interact with an atom has been discussed. The results indicate that the light field which doesn't interact with atom appears strong anti-bunching phenomenon in all the time through changing transition photon number and time, selecting the initial state of the light field which interacts with an atom. Controlling the parameter of the light field that interacts with an atom, the non-classical light field of different squeezing degree can be generated in the proper time.3. When single mode coherent light field interacts with two-level atomic mixed-state, the properties of the atomic population inversion are studied by means of the multi-photon anti-Jaynes-Cummings model. The influence for the parameters of average photon number of the coherent light field,transition photon number and mixing extent of the atomic initial state on the atomic population inversion has been discussed. The results show that the collapse and revival phenomena of periodicity will also appear in the two-level atomic population inversion. With the increasing of the average photon number of the coherent light field and the transition photon number, the revival period and attenuation time of collapse will change. With the increase of the average photon number of the coherent light field, the oscillation frequency of the atomic population inversion increases correspondingly. The revival period and attenuation time of collapse will not change, but the oscillation amplitude of the atomic population inversion will be increase as the decreasing of mixing extent of the atomic initial state.4. When single mode coherent light field interacts with two identical two-level entangled atoms, the population inversion evolution of entangled atoms is studied by means of the multi-photon anti-Jaynes-Cummings model. The influence of average photon number of the coherent light field and the transitional photon number on the population inversion evolution of entangled atoms has been discussed. The results indicate that the probability difference for two two-level atoms being at the excited state and the ground state will decreases and the oscillation curves of the population inversion will rise with the increasing of the average photon number of the coherent light field. With the increasing of the transitional photon number the probability difference for those increases and the oscillation curves of the population inversion declines.