Required in stage
Optional in stage
Second term
Both terms
Not organised
This year
Next year
Alternating years
Prerequisites
Identical coursesQuantum Optics (B-KUL-H0Q15A)
English
First term
Cannot be taken as part of an examination contractCannot be taken as part of a credit contract
N. 
Université Grenoble AlpesAims
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.
More information: https://master-nanosciences.univ-grenoble-alpes.fr/quantum-optics-820307.kjsp?RH=1585217059025
Previous knowledge
Quantum mechanics
Optics
Is included in these courses of study
Activities
3 ects. Quantum Optics (B-KUL-H0Q15a)
EnglishFormat: Lecture-practicalFirst termN. Content
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).
Course material
Exploring the quantum (Haroche & Raimond, Cambridge University Press)
Quantum Optics (Scully & Zubairy, Cambridge University Press)
Quantum world(Gardiner & Zoller)
Format: more information
All students will be in the same room for lessons and tutorials.
Groups of 4 students for practicals in a reasearch lab.