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

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Atoms and Photons

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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

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

Enseignant : Jean-Michel Raimond
Chargés de TD : Julien LAURAT et Hélène Perrin
Physique de la matière condensée : Option
Physique macroscopique et complexité (ex physique des liquides) : Option
Physique quantique : Obligatoire
Physique théorique : Option
ECTS : 6
Langue d’enseignement : Anglais
Site Web : Intranet Master

Description

Lectures notes :
Lectures notes in English, lecture slides, exercise class texts and their solutions are to be found on the master intranet web site.

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. Introduction to density matrix formalism, coherence, populations, statistical mixtures. Atomic relaxation : Kraus processes, Lindblad equations and quantum jumps. Optical Bloch equations and applications: saturation, saturation spectroscopy, EIT, Maxwell-Bloch equations.

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. The dressed atom formalism. Jaynes and Cummings model, cavity quantum electrodynamics.

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