69699 - Theory Of Many Body Systems s Theory

Learning outcomes

At the end of the course, the student is able to study strongly interacting quantum many body systems. More specifically, he/she is able to use both exact results and approximation techniques for the analysis of phase transitions.

Course contents

We will present analytical techniques for the study of quantum many body systems (bosonic, fermionic, magnetic) and the description of their phases. These techniques will be seen in action by analyzing a series of important models for applications in physics.

More specifically:

- exact solution techniques (transfer matrix and Bethe ansatz) for integrable systems (ex.: Ising model and spin XY model in one dimension);

- perturbative techniques (mean field; Landau theory) for the study of interacting or higher-dimensional systems (ex: superfluidity and superconductivity; bosonic and fermionic Hubbard model);

- effective fieldd theory techniques (ex; Ising model, Heseinberg model).

Office hours

See the website of Elisa Ercolessi