Short description: The course will focus on lattice gauge theories (LGTs), particularly their numerical and quantum simulation, 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. We will discuss different gauge groups and their relevance in and connections to condensed matter and high-energy physics (HEP). When it comes to quantum simulation, we will cover mappings of paradigmatic LGTs on analog (cold atoms) and digital (superconducting qubits, trapped ions, Rydberg atoms) quantum-simulation platforms. We will go over groundbreaking quantum-simulation experiments as well as proposals for next-generation ones, emphasizing outstanding HEP phenomena where quantum simulation experiments can provide real insights. 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.Â
Requirements: BSc in physics or comparable.