Nonlinear, Ultrafast and Quantum Optics - Département de Physique de l'Ecole Normale supérieure

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Nonlinear, Ultrafast and Quantum Optics

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November 14 - 18, 2022 :
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Tél : 01 44 32 35 60
enseignement@phys.ens.fr

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Next student seminar :
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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

Faculty : François HACHE and Nicolas TREPS
Tutor :
ECTS credits : 3
Language of instruction : Anglais
Site web :

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

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