In this document, I am going to derive some basic formula for the electromagnetically induced transparency, slow light, and stored light in a three-level Λ-type system. For the EIT case, the probe transmission and phase shift versus the probe detuning will be given. For the slow light case, how the amplitude decay, how the pulse broadening and the energy transmission for a Gaussian probe pulse will be calculated.
Quantum state tomography is the process of reconstructing the quantum state (density matrix, Wigner function…) for a source of quantum systems by measurements on the systems coming from the source.
