Coursebooks

Quantum optics and quantum information

PHYS-454

Lecturer(s) :

Brantut Jean-Philippe

Language:

English

Summary

This lecture describes advanced developments applications of quantum optics. It emphasizes the connection with ongoing research, and with the fast growing field quantum technologies. The topics with 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. Master equation and optical Bloch equations. 2-qbit states, entanglement.

2. Quantum information

DiVincenzo criteria and universal quantum computers. Quantum gates, circuit representation. Exemple of algorithms: quantum teleportation, Deutsch-Josza algorithm. Practical limitations and state of the art.

3. Quantum control

Atomic structure of one electron atoms. Cylcing transitions, clock transitions, optical pumping. Three level systems, dark states, electromagnetically induced transparency. Approximate theoretical description, resolvant method, Floquet theory.

4. Collective and many-body effects

Dicke states, coherent spin states. Projection noise, spin squeezing. Many-body entanglement, entanglement entropy, entanglement witnesses. Collective effects in cavity QED, Tavis-Cummings model, superradiance and Dicke-Hepp-Lieb quantum phase transition.

5. Mechanical effects of light

Forces on the two-level atom. Doppler cooling. Optical dipole force, optical lattices. Sysiphus cooling. Sideband addressing of trapped ions. Cavity optomechanics, cavity cooling. Cirac-Zoller quantum gate and trapped ion quantum computer.

6. Quantum simulation

Lloyd algorithm. Analog quantum simulation, Bose-Einstein condensates, Hubbard models. Spin models, Rydberg atoms quantum simulators.

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)

Statistical physics IV (Spring semester)

Recommended courses

Solid state physics III, Optique III

Learning Outcomes

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

• Master the calculational techniques

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

• Grynberg, Aspect and Fabre, Introduction to Quantum Optics
• Cohen-Tannoudji, Dupont-Roc, Grynberg, Atom-Photon Interactions
• Gardiner, Zoller, The Quantum World of Ultracold Atoms and Light Book II
• Chuang, Nielsen, Quantum Computation and Quantum Information

Ressources en bibliothèque

• Grynberg, Aspect and Fabre, Introduction to Quantum Optics
• Cohen-Tannoudji, Dupont-Roc, Grynberg, Atom-Photon Interactions
• Gardiner, Zoller, The Quantum World of Ultracold Atoms and Light Book II
• Chuang, Nielsen, Quantum Computation and Quantum Information