Festkörperphysik, Nanophysik

This class builds upon the “E_M1 Advanced Solid State Physics” lecture and develops an introductory-level insight into the main concepts and the rich phenomenology of graphene and other two-dimensional materials, leading up to the recent advancements in moiré superlattices. In particular, the class aims to introduce all the main concepts and techniques that are needed for the study of the key experimental literature on the emergent field of moiré materials, with a strong bias towards low-temperature electronic experiments.

This course will cover two main pillars of modern quantum many-body physics: (i) quantum many-body dynamics and (ii) quantum simulation. We will cover nonthermal far-from-equilibrium many-body dynamics such as quantum many-body scarring, many-body localization, and Hilbert-space fragmentation. A big focus will be on various target quantum many-body systems, in particular lattice gauge theories, whose local conservation laws give rise to many of these phenomena. We will go over schemes to reliably realize these models onto state-of-the-art quantum-hardware platforms from cold atoms to trapped ions and superconducting qubits. The course will include homework assignments as well as coding projects where students will learn numerical methods such as exact diagonalization. At the end of the course, students' knowledge will be at the forefront of quantum simulation and far-from-equilibrium quantum many-body dynamics, and be able to pursue research in these fields.