Atoms and Photons - Département de Physique de l'Ecole Normale supérieure

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Atoms and Photons

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Experimental Internship - Undergraduate program
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November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Parcours Physique Quantique = cours obligatoire

Enseignant : Hélène Perrin

Chargés de TD : Tarik Yefsah et Clément Sayrin

Nombre d’ECTS : 6

Langue d’enseignement : Anglais

Modalités d’examen : Ecrit

Description

Lectures notes :
Lectures notes in English, handouts of the courses slides and texts of former exams are available at http://www-lpl.univ-paris13.fr/bec (follow Group members/Hélène Perrin)

Bibiliography
. C. Cohen-Tannoudji, J. Dupont-Roc and G. Grynberg, “An introduction to quantum electrodynamics” and “Photons and atoms”, Wiley, 1992
. S. Haroche and J.-M. Raimond “Exploring the quantum”, OUP 2006
. G. Grynberg, A. Aspect and C. Fabre, “Introduction to Quantum Optics”, Cambridge University Press (2010)
. C. Cohen-Tannoudji and D. Guéry-Odelin “Advances in atomic physics: an overview”, World Scientific 2012

Program
1) Classical and phenomenological approaches to light-matter coupling. Harmonically bound electron, Einstein’s coefficients.
2) Semi-classical approach. Atom-field interaction Hamiltonian. Perturbative solution for the non-resonant interaction. Resonant interaction : Rabi oscillation and applications, Ramsey interferometry. Atomic relaxation : Kraus processes, Lindblad equations and quantum jumps. Optical Bloch equations and applications : saturation, saturation spectroscopy, EIT, Maxwell-Bloch equations, slow light.
3) Field quantization. Eigenmodes of the classical field, normal variables, field energy, momentum and angular momentum. Field Hamiltonian, creation and annihilation operators, field operators. Quantum states of the field : Fock states, coherent states. Phase space representations, Wigner function. Coupling of field modes : beam-splitter model. Field relaxation : Lindblad equation and evolution of states.
4) Quantum field coupled with quantum matter. Atom-field interaction. Spontaneous emission. Photo-detection signals and intensity correlations, Hanbury-Brown and Twiss, bunching and anti-bunching. Jaynes and Cummings model, cavity quantum electrodynamics. Applications : from Purcell effect to strong coupling. Collective emission, super-radiance.

Prerequisites
The course assumes an excellent command of basic quantum physics: Dirac formalism, operators, measurement, Hamiltonian dynamics, spin-1/2, elementary atomic physics (hydrogen), harmonic oscillator (basically all of Volume 1 of the Cohen-Tannoudji, Diu and Laloë classic textbook). A working knowledge of density operator is also required, as well as a good knowledge of classical electromagnetism: Maxwell equations, propagation equations, limiting conditions, plane waves, spherical waves, dipole radiation (see the Jackson for instance).

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship

News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr