Study Of The Interaction Between BEC Atoms And Light In A Resonance Cavity

Cavity quantum electrodynamics (cavity QED) describes the coherent interaction between matter and an electromagnetic field confined in a resonator structure. It provides a useful platform for quantum information processing. Recently, with the development of experimental techniques in atomic optics, the interaction between atoms and electromagnetic radiation has attracted much atention. The experimental and theoretical study of laser cooling and trapping of atoms has become a vigorous research field in physics from 1985 when laser cooling and trapping of atoms were realized by Chu's team. The realization of Bose-Einstein condensation (BEC) in 1995 is one of the most important achievements of laser cooling.This dissertation consists of three chapters. In the first chapter, we first introduce the experimental and theoretical research of Bose-Einstein condensation and then the development in Bose-Einstein condensation. In the second chapter, we present the experimental and theoretical study of cavity quantum electrodynamics and its recent development. In the last chapter that contains our own work, we study the effects of the atom-cavity interaction. We assume that all the BEC atoms are in the same spatial motion state and only consider the intrinsic excitation of a single atom. We numerically diagonalize the Hamiltonian of the atom-cavity system, deriving its eigenspectrum and eigenvectors. We then investigate the dependence of the energy spectrum of the atom-cavity system on the atom distribution among atomic states. We also study the dependence on the cavity detuning of the mean numbers of atoms in atomic states and of the correlation between the numbers of atoms in different atomic states.