Quantum electrodynamics and quantum optics
Summary
This course on one hand develops the quantum theory of electromagnetic radiation from the principles of quantum electrodynamics. It will cover basis historic developments (coherent states, squeezed states, quantum theory of spontaneous emission) and moreover modern developments, e.g. quantum noise.
Content
- Coherent states, Quantization of a Harmonic Oscillator
- Quantization of the electromagnetic field, quantization of electrical circuits
- Coherent states
- Fock states
- Squeezed states
- Measuring the Quantum States of Light:
- Homodyne detection
- Measurements, photon counting
- Representations (Q-function, Wigner function, P-representation)
- Photon correlations
- HBT effect, g(2) measurements
- Strong coupling cavity QED.
- Light matter interaction, dipole approximation
- Quantum description of a laser
- Cavity QED Hamiltonian
- Dispersive limit of cQED
- Purcell effect
- Applications of Cavity QED:
- Generation of arbitrary quantum state of a Harmonic oscillator
- Quantum Metrology
- Dispersive regime of cavity QED, QND measurements of Two level systems (qubits)
- Quantum Nondemolition measurements (QND)
- Quantum backaction in linear measurements
- The standard quantum limit (SQL)
- Backaction evading measurements (BAE)
- Quantum theory of an amplifier
- QLE approach to negative temperature
- Noise temperature and added photons
- Phase sensitive and phase insensitive amplification processes
- Degenerate OPO and Squeezed light generation.
- Parametric amplification and squeezing using second harmonic generation
- Stochastic Schroedinger Equation and Measurement theory
- Quantum Jumps, quantum trajectories
- Other topics covered: Recent developments in quantum optics (quantum metrology, quantum communication, etc.), and use of Python Quantum Optical Toolbox to simulate open quantum systems
Learning Prerequisites
Recommended courses
Quantum physics
Learning Outcomes
By the end of the course, the student must be able to:
- Understand the quantum theory of electromagnetic radiation
- Understand the different effects of light-matter interaction
- Understand the differences of classical and quantum properties of light
- Use of Python toolbox to simulate open quantum systems
- Understand modern applications of quantum optics in quantum communication, quantum metrology and quantum computation
Teaching methods
Exercises (weekly).
Assessment methods
written exam
Dans les plans d'études
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Automne
- Forme de l'examen: Ecrit (session d'hiver)
- Matière examinée: Quantum electrodynamics and quantum optics
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
Semaine de référence
| Lu | Ma | Me | Je | Ve | |
| 8-9 | |||||
| 9-10 | |||||
| 10-11 | |||||
| 11-12 | |||||
| 12-13 | |||||
| 13-14 | |||||
| 14-15 | |||||
| 15-16 | |||||
| 16-17 | |||||
| 17-18 | |||||
| 18-19 | |||||
| 19-20 | |||||
| 20-21 | |||||
| 21-22 |
Légendes:
Cours
Exercice, TP
Projet, autre