QUANTUM OPTICS

To have some mathematical and theoretical skills in order: 1) to be able to understand the latest developements in manipulation of quantum systems for quantum information and optical devices

Lectures in clasroom.

Classical model of the atom-field interaction: the Lorentz model. Time dependent perturbation theory. The semi-classical approach: atoms interaction with a classical electromagnetic field. Atom-light processes. The interaction Hamiltonian. Transition between atomic levels driven by an oscillating electromagnetic field. Absorption between levels of finite lifetimes. Laser amplification. Rate equations. The density matrix and the optical Bloch equations. Manipulation of atomic coherence. Ramsey fringes. Photon echoes. Electromagnetically induced transparency. Slow light. Quantization of free radiation. The vacuum: ground state of quantum radiation. Single-mode radiation. Single-mode number state. Quasi-classical states. Multi-mode quantum radiation. Interaction of an atom with the quantized electromagnetic field. Interaction processes. Spontaneous emission. Cavity quantum electrodynamics. The Purcell effect.Introduction to nonlinear optics. Three-wave mixing.

1) Introduction to Quantum Optics From the Semi-classical Approach to Quantized Light GILBERT GRYNBERG ALAIN ASPECT CLAUDE FABRE CAMBRIDGE UNIVERSITY PRESS 2) The quantum theory of light Rodney Loudon Oxford University Press. 3) P.R. Berman e V.S.Malinovsky, Principles of laser spectroscopy and quantum optics, Princeton University Press.