Coursebooks

Quantum optics and quantum information

PHYS-454

Lecturer(s) :

Brantut Jean-Philippe

Language:

English

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. Trapped ions quantum computer
Lamb-Dicke parameter, motional side-bands, side-band cooling. Schrödinger cat states. Two qubit gates: the Cirac-Zoller gate, geometric phase gate.

Keywords

Quantum technology, quantum computing, quantum simulation, quantum optics, laser cooling, quantum measurement, quantum electrodynamics, quantum devices

Learning Prerequisites

Required courses

Good understanding of basic quantum mechanics

Quantum Electrodynamics and quantum optics (Fall semester)

Recommended courses

Solid state physics III, Optique III, Statistical physics IV

Important concepts to start the course

The two-level system and harmonic oscillator in quantum mechanics, unitary transformations

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Ex-cathaedra, exercise classes. Mini-conference with student presentations

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

Core litterature for the course

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

Reference week

 MoTuWeThFr
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     
Under construction
 
      Lecture
      Exercise, TP
      Project, other

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  • Autumn semester
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  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German