A. Tools of Modern Optical Physics

• Quantization of the electromagnetic field. QED in the Coulomb gauge.
• Thermal fields, coherent states, squeezed and subpoissonian states.
• Interaction between atoms and quantized fields: dressed states, Jaynes-Cummings model, spontaneous emission.
• System-reservoir interactions: master equations, Fokker-Planck equations, quantum Langevin equations. Monte-Carlo wavefunction
  simulations.
• Quasi-distribution functions: P- and Q-representations, Wigner distribution.

B. Selected Problems

• Heisenberg-Langevin treatment of the damped harmonic oscillator.
• Optical Bloch equations for a two-level atom, evolution of internal and external degrees of freedom, radiative forces, resonance fluorescence.
• Dressed two-level atom, master equation, resonance fluorescence, dipole forces.
• We may choose to work through one or more of the "exercises" in "Atoms and Photons" by Cohen-Tannoudji, Dupont Roc and Grynberg, or choose to study one or more current topics, such as

C. Quantum entanglement, EPR experiments and quantum computation

• Bose-Einstein condensation and atom lasers
• Optical lattices, quantum chaos and quantum transport