These lectures are aimed to provide building blocks to understand and model the elementary components of light (photons), light matter-interaction at the single photon level, and elements of quantum communication and information processing with single photons.

These lectures are aimed to provide building blocks to understand and model the elementary components of light (photons), light matter-interaction at the single photon level, and elements of quantum communication and information processing with single photons.

Chapter 1: Cavity Quantum ElectroDynamics

- Quantization of the electromagnetic field, number, classical and squeezed states

- Field’s representations: quadratures, Q-functions, Wigner functions

- Light-matter interaction at the single photon level (Jaynes-Cummings Hamiltonian)

- Strong and weak coupling, Purcell effect, experiments of CQED

- Quantum states (pure states, mixtures), density matrix, Bloch sphere

- Classical and quantum Rabi oscillations, Ramsey fringes

- Collective effects between many emitters, wave guide QED

Chapter 2: Single photon generation, quantum communication and computation with light

- Entanglement, Bell’s inequalities

- Quantum cryptography (BB84, Ekert protocol), quantum teleportation

- Quantum repeaters, entanglement distribution, quantum networks

- Photonic quantum gates, Kerr Hamiltonian

- Second-order and third-order nonlinear media, generation of twin photons, Kerr effect

Chapter 3: Practicals in laboratory (Neel Institute): Generation of entangled photon pairs using non linear optics (practical 1) and observation of the violation of CHSH inequalities (practical 2).

Prerequisites: Quantum mechanics (M1 level), Optics (M1 level)

References:  Exploring the quantum (Haroche & Raimond, Cambridge University Press), Quantum Optics (Scully & Zubairy, Cambridge University Press), Quantum world(Gardiner & Zoller)