Since Fall 2019 we’ve been offering a semester-long course on Condensed Matter physics with an emphasis on Quantum Theory. The goal of the course is to introduce the students to the basic concepts in Condensed Matter Physics and to help them to learn to read and understand research papers. The focus of this course on the aspects of interacting quantum many-body systems.
The course contents are organized in two parts:
I. Quantum Theory of Many-Body Systems
Refresher on the basic notions of Quantum Mechanics
Many-body QM: Second Quantization Method
Perturbation Theory in many-body systems: Green’s function method
Linear Response theory (Kubo formula)
II. Mean-field approaches to Many-Body Systems
Fermi liquid Theory;
Superfluidity;
Superconductivity;
Landau theory of phase transitions;
Magnetism;
Mott insulators;
Selected topics in topological materials (Topological Insulators, Majorana fermions, etc).
The target audience are experimentalist students aspiring to work in the field hard condensed matter, or anyone who is just curious about application of quantum mechanics to real-life systems.