Theoretical Studies On Electromagnetically Induced Transparency In The Zeeman Splitting Hyperfine Level Atomic System

In recent years, as one of the quantum coherence effect, the phenomenon of electromagnetically induced transparency(EIT) has attracted widespread attention and both in theory and experiment has achieved rich results and further progress. This paper first introduces the phenomenon and development of EIT, then introduced the related theory knowledge, next, gives a derivation of mechanism of EIT effect in a Λ three- level typical EIT system using semiclassical theory of light-matter interaction.In this work, we consider the specific system of 85 Rb, use a numerical simulation to study the evolution of dark state of electromagnetically induced transparency(EIT) and the spatial dependence of the steady-state population in a standing wave in a system exhibiting hyperfine Zeeman splitting. In this work, two polarization schemes, the circular polarization and the linear polarization are considered, and the combined effect of the individual components is compared with the simple three-level system. Analytical results indicate that the population of the dark state in the circular polarization modes are closer to the simple three-level situation than in the linear polarization modes, and the spatial resolution in the circular polarization modes are better than in the linear polarization modes. The process of evolution also shows that system requires enough interaction time to get steady-state.