Nonlinear optics for quantum technologies
PHYS-470
Media
Welcome!
The goal of this course is to understand the fundamentals of nonlinear optics and applications to quantum technologies, as well as spectroscopy and laser technology. We will start with classical and semi-classical descriptions of linear and nonlinear light-matter interactions, and then quantise the optical field to study the nonclassical features (such as entanglement) that can be generated via nonlinear processes.
Some useful textbooks available online through EPFL library (be sure to be on VPN and/or logged into BEAST):
- Robert W. Boyd; Nonlinear Optics, 4th edition
- Paul Butcher, David Cutter; The Elements of Nonlinear Optics
- Richard Sutherland, Handbook of Nonlinear Optics
- Gilbert Grynberg, Alain Aspect, Claude Fabre; Introduction to Quantum Optics
- Ulrich Hohenester; Nano and Quantum Optics
- Claude Cohen-Tannoudji, Bernard Diu et Franck Laloë; Mécanique quantique Tome III
- D. F. Walls and Gerard J. Milburn; Quantum Optics
Two good books on classical electromagnetism (available in the library):
- Jack Vanderlinde, Classical electromagnetic theory
- John D. Jackson, Classical electrodynamics
Exercises
Lectures and complements
- Students assigned to write the summary each week (File)
- Lecture notes (Folder)
- Complements and supporting material (Folder)
Week 03 - The nonlinear susceptibility: Quantum formalism
Week 04 and 05 - The nonlinear susceptibility, part II
Week 06 - Wave propagation in transparent nonlinear media
Week 07 - Brillouin scattering, optical fibers and waveguides
Invited Speaker: Prof. Luc Thévenaz, EPFL
Weeks 08-09 - Phase matching
Week 10 - Quantum nonlinear optics -- Introduction
Good reference on quantization including nonlinear optical effects: Beyond photon pairs—nonlinear quantum photonics in the high-gain regime: a tutorial. N. Quesada, L. G. Helt, M. Menotti, M. Liscidini, and J. E. Sipe
https://opg.optica.org/aop/fulltext.cfm?uri=aop-14-3-291&id=477855
Another more technical tutorial: Quantum theory of light in a dispersive structured linear dielectric: a macroscopic Hamiltonian tutorial treatment. Michael G. Raymer
https://www.tandfonline.com/doi/full/10.1080/09500340.2019.1706773
Historical paper fixing issues with quantisations in nonlinear media: Quantization of electrodynamics in nonlinear dielectric media. Mark Hillery and Leonard D. Mlodinow
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.30.1860
Why you should not use the electric field to quantize in nonlinear optics. Nicolás Quesada and J. E. Sipe
Week 11 - SPDC Hamiltonian
Week 12 - Joint Spectral Amplitude engineering
Invited Speaker: Terence Blésin, EPFL (LPQM) - Frequency conversion in quantum regime
Week 13 - Nonlocality
Invited Speaker: Marc-Olivier Renou, ICFO : Bell nonlocality