Advanced condensed matter physics and quantum many-body systems

- General introduction to the quantum many-body problem, second quantization and quantum field theory

- The electron gas and phonons in solids. Perturbative treatments, bosonization, Bogoliubov transformations, the polaron problem

- Introduction to mean-field approaches, symmetry breaking and the Hartree-Fock approximation

- Bose Einstein condensates and the Bogoliubov theory of weakly-interacting Bose gases

- Itinerant magnetism and the Hubbard model

- BCS theory for conventional superconductors

Learn and appreciate basic aspects of the quantum many-body problem across various physical contexts. 

Required and Corequired knowledge and skills

Quantum mechanics, statistical mechanics, basic notions of condensed matter physics

Ipad notes and blackboard

References, bibliography, and recommended reading

- "Introduction to Many-Body Physics", book by Piers Coleman

- "Many-Body Quantum Theory in Condensed Matter Physics : An Introduction", book by Henrik Bruus and Karsten Flensberg

- "Condensed matter field theory", book by Alexander Altland and Ben Simons

- "Bose-Einstein condensation in dilute gases", book by C. J. Pethick and H. Smith

Campus

Plaine

Method(s) of evaluation

• Other

Other

Oral examination

Mark calculation method (including weighting of intermediary marks)

Based on the oral examination

Language(s) of evaluation

• french
• english