Two-mode Field Interacting With The Three-level Atomic System

Since the concept of quantum entanglement was proposed by Schrodinger in 1935, people have paid more and more attention to it. Quantum entanglement is one of the most remarkable characters of quantum mechanics, is also a very important resource in communication. It is presented in a major development of quantum information and will have a huge impact. It plays an important role in the field of quantum information and is also the foundation of quantum computation. In recent years, especially with the cross and marginal disciplines emergence and development of quantum information science, people have in-depth study of quantum entanglement.This paper studies the interaction between two-mode field and theⅤ-type three-level atomic system. According to the system density matrix, discussed the evolution of the system entropy with time and photon statistical properties of the system.The main content of this paper is divided into four parts. The first section briefly describes the course of development of quantum optics, the resulting information science on the base of quantum optics and related non-classical case of the optical. The second section deals with some common models of the interaction between light field and atomic system which people study the non-classical model, for example the Jaynes-Cummings model and Tacis-Cummings model and so on. And in this part we also describe the corresponding method of calculating. The third section describes light field with the three level atomic system interaction model,Ξmodel, A model and V model, and other models included. They examined the Schrodinger equation of the single mode light field, two mode light field and three level atom interacting systems, and arrived at appropriate conclusions. They analyzed the impact of factors on the field entropy, such as the light field detuning, the average photon number, atomic initial state and so on. The results show that increasing the detuning and the photon, we will have the field entropy of collapse, recovery phenomenon, the field entropy cycle will change. In the last section, our study focuses on the newly constructed two mode light field and theⅤtype three level atomic system of the Schrodinger equation. By the corresponding equation of the state we obtain the density matrix, and discuss the system entropy evolution and distribution of photon statistics in deep detail. Based on the changes of the entropy formula and photon distribution formula, analyzing the light field detuning, the atomic initial state of the field entropy, we have the results. They show that the field entropy changes periodically with time and entropy of the collapse show appearance and response. As the detuning increases, the field entropy change frequency increases, the peak also increases. We investigate the impact of the photon number, detuning and the system state vector on the bunching effect and anti-bunching effect, according to second-order correlation function. The result shows that increasing the photon number we can have the bunching effect and anti-bunching effect, detuning and the system state vectorθincreased photon bunching effect appears alternate cycle.