Squeezing Properties Of The Light Field And The Atom Laser Interaction Between Atoms

Nowadays, the study on Bose-Einstein condensation (BEC) is a focus of attention in physis and relevant subjects. In this dissertation, we review the introduction and development of BEC as well as the formative condition and relevant technologies for BEC realization. The experiments on BEC of alkali metal atom such as rubidium and sodium atoms are discussed. Then we explain the theoretical model of BEC investigation and introduce the basic conception of light field interacting with matter. Because the interaction between light field and atom play an important role in the process of atom cooling and preparation and exploration for BEC, the optic property of BEC have been researched in the literature. And because the interaction between atoms is an important factor for the form and property of BEC, the influence of the interaction between atoms in BEC on the squeezing properties of atomic lasers also have been researched in the literature.In terms of above review and the lattice-liquid model, we analyzed the Hamiltonian operator of a system of single-mode light field interacting with Bose-Einstein condensate (BEC) of two-level atoms developed in literature. It is indicated that the contribution of the interaction between atoms to the Hamiltonian is irrationality overestimated, so the Hamiltonian operator is improved. Based on the improved Hamiltonian, the equations of motion of the photon and atomic operators are derived and analytically solved. The relevant parameters in the model are estimated combining the experimental conditions in BEC. The influence of the interaction between atoms in the BEC on the squeezing properties of light field and the atomic lasers is studied.Finally, we draw a conclusion, for the light squeezing effect, in the case of the energy of the interaction between atoms ( u 0) and initial light field keeps steady, the intensity of interaction between light field and atomic BECεhas obvious influence to the sqeezing effect of light. That is, the stronger ofε, the larger the amplitude of the fluctuations of two quadrature components of light are. For the squeezing effect of atomic laser,εhas obvious influence on the fluctuation of atomic laser. Whenεis...