Due to the COVID-19 crisis, the information below is subject to change,
in particular that concerning the teaching mode (presential, distance or in a comodal or hybrid format).
5 credits
22.5 h + 7.5 h
Q1
Teacher(s)
Piraux Bernard; Urbain Xavier;
Language
English
Main themes
Light-matter interactions, coherent population transfer, cold atoms, Bose-Einstein condensate, atomic clocks, NMR and MRI, scattering theory
Aims
At the end of this learning unit, the student is able to : | |
| 1 |
a. Contribution of the teaching unit to the learning outcomes of the programme (PHYS2M and PHYS2M1) AA 1.1, AA 1.2, AA 1.5, AA1.6, AA 3.1, AA 3.3, AA 5.4 b. Specific learning outcomes of the teaching unit At the end of this teaching unit, the student will be able to: 1. describe the laser-atom interaction with Hamiltonian and density matrix formalisms ; 2. describe the essential steps leading to atom trapping, cooling and condensation ; 3. determine the experimental parameters for Doppler and sub-Doppler cooling ; 4. describe the essential steps leading to nuclear magnetic resonance imaging ; 5. give a quantum definition of scattering and master the concept of cross section. |
Content
Laser-atom interactions : two-state model – Rabi oscillations, adiabatic rapid passage, Bloch vector, Ramsey fringes, saturated absorption, and three-state model – optical pumping, two-photon spectroscopy, STIRAP, induced electromagnetic transparency, slow light. Cold atoms, atomic traps and Bose-Einstein condensates : Doppler and sub-Doppler cooling, magneto-optical and dipole trap, evaporative cooling, statistical mechanics of boson condensation, condensate properties, atom lasers. Applications of cold atoms to metrology : atomic clocks, atomic fountains, cold ions in Lamb-Dicke regime, quantum jumps, atomic qubits. Density matrix and Von Neumann-Liouville equation. Introduction to the principles of Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI) : magnetic Bloch equations, spin echoes, Fourier Transform NMR, basic MRI pulse sequences. Introduction to scattering theory (concept of cross section).
Teaching methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
Lectures, video animations, numerical applications, exercises, laboratory demonstrations.
Evaluation methods
Due to the COVID-19 crisis, the information in this section is particularly likely to change.
Written examination, closed and open questions
Bibliography
M. Fox « Quantum Optics. An introduction », Oxford Master Series in Atomic, Optical, and Laser Physics, 2006.
M. Fox « Optique quantique. Une introduction », trad. B. Piraux, De Boeck Université, 2011.
P.Lambropoulos and D.Petrosyan « Fundamentals of Quantum Optics and Quantum Information », Springer, 2007.
C. Cohen –Tannoudji, Bernard Diu, Franck Laloë, “Mécanique quantique, tome III”, CNRS Editions, EDP Sciences – Collection: Savoirs Actuels, 2017.
S. Haroche and J.-M. Raimond « Exploring the Quantum », Oxford, 2007.
M.O. Scully & M.S. Zubairy « Quantum Optics », Cambridge University Press, 1997.
M. Fox « Optique quantique. Une introduction », trad. B. Piraux, De Boeck Université, 2011.
P.Lambropoulos and D.Petrosyan « Fundamentals of Quantum Optics and Quantum Information », Springer, 2007.
C. Cohen –Tannoudji, Bernard Diu, Franck Laloë, “Mécanique quantique, tome III”, CNRS Editions, EDP Sciences – Collection: Savoirs Actuels, 2017.
S. Haroche and J.-M. Raimond « Exploring the Quantum », Oxford, 2007.
M.O. Scully & M.S. Zubairy « Quantum Optics », Cambridge University Press, 1997.
Faculty or entity
PHYS
