Non-perturbative time-dependent numerical simulation for electromagnetically induced transparency and slow light in three-level Λ-type atoms

A time-dependent, semi-classical simulation model of light coupling with an array of three-level Λ-type atoms is developed to study dynamical phenomena of electromagnetically induced transparency (EIT). Light is described by electromagnetic wave equation and the quantum dynamics of atoms is described by time-dependent non-perturbative Schrödinger equation. Dynamical pictures and the mechanism of EIT are demonstrated and this model is used to explore the light-matter interaction of ultra-short pulse.