Short description: The course will focus on quantum simulation and dynamics of quantum many-body models, with the aim of bringing students to the forefront of research in these fields such that by the end of the course they will be ideally positioned to pursue research in them. Topics on quantum many-body dynamics will include Anderson localization, many-body localization, disorder-free localization, quantum many-body scars, Hilbert space fragmentation, dynamical quantum phase transitions, among other timely topics. When it comes to quantum simulation, we will cover mappings of paradigmatic models on analog (cold atoms) and digital (superconducting qubits, trapped ions, Rydberg atoms) quantum-simulation platforms, e.g., Bose-Hubbard models, spin systems, and various lattice gauge theories. We will go over groundbreaking quantum-simulation experiments as well as proposals for next-generation ones. The course will heavily focus on exact diagonalization, which will be an integral part of the weekly exercise sheets. Exercise sheets will also include analytic exercises.
Requirements: BSc in physics or comparable.