M2-ICFP Advanced Quantum Mechanics Tutorials, 2018-2024

I have taught the Advanced Quantum Mechanics Tutorials for M2 ICFP, Quantum Physics track, at ENS-Ulm in Paris,
for seven years, from September 2018 to December 2024.

Each year, there were 12 or 13 Tutorial sessions which lasted 2 hours each, and took place approximately weekly from September to December.

I have collected the latest versions of my teaching material on the present page.

The corresponding Lectures were given by Prof. Alice Sinatra (2018) from LKB, ENS-Paris and Prof. Frédéric Chevy (2019-2024), from LPENS, ENS-Paris, France.

Supplementary exercises

Series 1: identical particles

Series 2: resolvent operator; virial theorem

Homework Problem: Ultracold Fermi gas in the Bardeen-Cooper-Schrieffer regime (2019 and 2024)

Homework Problem: The Lamb shift in atomic Hydrogen (2020-2023)

detailed steps for Question 13a

Homework Problem: Josephson oscillations in a superfluid Bose gas (2018)

Problem 1: Two-particle interference with fermions and bosons (Tutorials 1 and 2)

Warm-up Particle and hole excitations in an ideal Fermi gas (45 minutes at the beginning of Tutorial 3)

Problem 2: Spatial correlation functions in Bose and Fermi gases (Tutorials 3, 4, 5, 6)

Problem 3: Quantum lattice models and the Bose-Hubbard Hamiltonian (Tutorials 7, 8, 9, 10)

Problem 4: Quantum scattering resonances (Tutorials 11, 12, 13)

slideshow (digest)

slideshow (full)