Quantum optics and quantum information
Summary
This lecture describes advanced concepts 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
Review of two-level systems and harmonic oscillators.
2. Entanglement, decoherence and measurements
Density matrix of 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. Stochastic Schrödinger equation, quantum state diffusion.
4. 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, resolved sideband cooling.
5 - 6. Operation of quantum machines (two topics chosen among)
- Trapped ions quantum logic
- Rydberg quantum logic
- Collective effects in light-matter interactions and quantum metrology
- 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) or equivalent (see prerequisites below).
Recommended courses
Solid state physics, Statistical physics
Important concepts to start the course
Good understanding of the two-level system and the harmonic oscillator in quantum mechanics, unitary transformations, canonical quantization of the electromagnetic field
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
- Perform calculations relevant to quantum optics
- Explore the scientific litterature in quantum optics and quantum information
Transversal skills
- Make an oral presentation.
- Use both general and domain specific IT resources and tools
Teaching methods
Video lectures, tutorials and exercise solved in the class, computer simulations. Mini-conferences with student presentations of research papers.
Expected student activities
Weekly problem sheet solving, paper reading and presentation
Assessment methods
Written 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
Further bibliographic elements on specific topics during the lectures and as exercises.
Ressources en bibliothèque
- Grynberg, Aspect and Fabre, Introduction to Quantum Optics
- Haroche, Raimond, Exploring the quantum
- Chuang, Nielsen, Quantum Computation and Quantum Information
Moodle Link
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
- 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