Quantum optics and quantum information
Summary
This lecture describes advanced developments and applications of quantum optics. It emphasizes the connection with ongoing research, and with the fast growing field of quantum technologies. The topics cover some aspects of quantum information processing, quantum sensing and quantum simulation.
Content
1. Introduction
Exemples of quantum devices. Review of two-level systems and harmonic oscillators.
2. Entanglement, decoherence and measurements
bipartite systems, entanglement, entanglement entropy, generalized measurements, system-meter description and POVMs, completely positive maps and Kraus theorem, quantum channels
3. Open quantum systems
Lindblad master equation, fundamental examples: Optical Bloch equations, damped harmonic oscillator
4. introduction to quantum computing
DiVincenzo criteria and universal quantum computers. Quantum gates, circuit representation. Exemple of algorithms: Deutsch algorithm, quantum teleportation.
5. Structure of real atoms
Quantum defect theory of one electron atoms, fine and hyperfine structure. Interaction with light, selection rules, dark states, closed transitions, qubit states.
6. Collective effects
Dicke states, coherent spin states. Projection noise. Introduction to quantum metrology: quantum Fisher information and quantum limits. Collective light-matter coupling, Tavis-Cummings model, polaritons.
7. Mechanical effects of light and laser cooling
Motional effects on light-matter interactions, Doppler and recoil shifts, semi-classical forces on the two-level atom, Doppler cooling and magneto-optical traps.
8. Chosen topics among:
- Trapped ions quantum logic
- Rydberg quantum logic
- Digital and analogue quantum simulation
Keywords
Quantum technology, quantum computing, quantum simulation, quantum optics, laser cooling, quantum measurement, quantum electrodynamics, quantum devices
Learning Prerequisites
Required courses
Quantum Electrodynamics and quantum optics (Fall semester)
Recommended courses
Solid state physics, Statistical physics
Important concepts to start the course
Goof understanding of the two-level system and the harmonic oscillator in quantum mechanics, unitary transformations
Learning Outcomes
By the end of the course, the student must be able to:
- Master the calculational techniques
- Read and understand the scientific litterature in quantum optics and quantum information
Teaching methods
Ex-cathaedra, tutorials and exercise classes. Mini-conferences with student presentations of research papers.
Expected student activities
Weekly problem sheet solving, paper reading and presentation
Assessment methods
Oral examination
Resources
Bibliography
For a review of the basics of quantum optics
- Grynberg, Aspect and Fabre, Introduction to Quantum Optics
Core litterature for the course
- Haroche, Raimond, Exploring the quantum
- Chuang, Nielsen, Quantum Computation and Quantum Information
- Cohen-Tannoudji, Guéry-Odelin, Advances in Atomic Physics
Further bibliographic elements on specific topics during the lectures and as exercises.
Ressources en bibliothèque
Prerequisite for
Specialization and Master projects in quantum optics, ultra-cold atoms, cavity quantum-electrodynamics
In the programs
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Semester: Spring
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
- Exam form: Written (summer session)
- Subject examined: Quantum optics and quantum information
- Lecture: 2 Hour(s) per week x 14 weeks
- Exercises: 2 Hour(s) per week x 14 weeks
Reference week
| Mo | Tu | We | Th | Fr | |
| 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:
Lecture
Exercise, TP
Project, other