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
