Cette option est proposée par le master ICFP

Enseignants : François HACHE et Nicolas TREPS

Description :

Objective of this lecture is to study non-linear interaction between light and mater, from classical to quantum effects. The natural regime, even if non-exclusive, is the femtosecond regime, where effects are macroscopic and experiments are usually performed. Beyond giving the essential ingredients of non-linear and quantum optics, this lecture will focus on recent applications and experiments, spreading for microscopy and spectroscopy to non-classical state generation and quantum metrology.

PART I : Nonlinear Optics

1- Introduction

Course : Introduction to nonlinear optics Nonlinear susceptibilities Propagation equation

Training : Self-phase modulation, Solitons

2- Second order effects

Course :Two-wave mixing, Manley-Rowe relation Second harmonic generation (SHG) Phase-matching, quasi-phase matching

Training : Parametric gain, OPO’s, thresholds of SROPO and DROPO


3- Ultrashort pulses

Course : Short pulse generation : mode-locking Characterization methods Femtosecond spectroscopy Nonlinear microscopy

Training : Kerr-Lens Mode-Locking


4- Quantum calculation of nonlinear susceptibilities

Course : Liouville equation, perturbative response Calculation of χ(2)

Training Non résonnant χ(2)


5- Response-functions – Two-dimensional spectroscopy

Course : Rotating-wave approximation, resonant Feynman diagrams Pump-probe experiments

Training : Fluorescence / resonant Raman


6- Training Third-harmonic generation for Gaussian beams – Application to microscopy

PART II : Femtosecond quantum optics

1- Introduction

Course : Quantum nature of light and pioneer experiments Single and two photons experiments, EPR states

2- Multimode quantum electromagnetic field

Course : Field quantization (time and frequency domains) – Coherent states Multimode homodyne detection Continuous variable regime

Training : Position measurement and standard quantum limit


3- Non-classical states

Course : Gaussian states : squeezing and entanglement Wigner function and non-gaussian states

Training : Generation of a non-gaussian state, Kraus operators


4- Multimode entanglement in the frequency domain

Course : Introduction to symplectic algebra, Schmidt and Bloch Messiah decomposition Pulsed single mode single photons

Training : Parametric down conversion for multimode quantum states


5- The frequency comb : a metrological tool

Course : Frequency comb and metrology

Training : Quantum noise limited metrology with frequency combs


6- Time and frequency measurements

Course : Quantum Cramér Rao bound : ultimate quantum limit for metrology

Training : Pulse shaping for quantum coherent control

Langue d’enseignement  : Anglais

Lieu : Jussieu salle 210 1er étageTour 13 couloir 13-23

Le résumé de l’option