The main goal of this course is to provide an introduction to the subject of topological phenomena in condensed-matter. 

This course is a research oriented introduction to a rapidly expanding theme in condensed matter. We present several aspects of this contemporary field including fundamental questions, materials, techniques and applications. 

The objective of this course is to cover the background required to understand one major system in future quantumbased technologies in the solid state, namely localized spins of atoms embedded in a solid state matrix.

The main goal of this course is to provide an advanced view of the optical response of quantum materials. 

Modern physics is characterized by an increasing complexity of systems under investigation, in domains as diverse as condensed matter, astrophysics, biophysics, etc. Due to the growing availability of experimental data, data-driven modelling is emerging as a powerful way to model those systems. The objective of the course is to provide the theoretical concepts and practical tools necessary to understand and to use these approaches.

The goal of this course is to introduce the main methods in electronic structure theory, which is at the heart of our present capability of understanding, predicting, and engineering materials properties based on accurate in-silico solutions of the many-body Schrödinger equation for electrons and their coupling with the lattice/structural degrees of freedom. 

The main goal of this course is to cover the physics of light-matter interaction in the context of quantum devices, and materials at the nanoscale. This UE features both theoretical aspects in lectures and tutorials - possibly based on the analysis and discussion of recent research papers - and experimental projects (12h) on research grade experiments at the end of the semester. 

Recent years have seen enormous experimental progress in preparing, controlling and probing quantum systems in various regimes far from thermal equilibrium. Examples include systems as ultra-cold atomic quantum gases under time-dependent perturbations, driven non-linear cavity QED systems or strongly correlated electrons in solid-state materials under ultra-fast optical excitations.

The main goals of this course are to cover the fundamentals of the electronic properties of solids, and to provide the conceptual basis of selected modern experimental techniques used to investigate such properties.