Exploring 4D Topological Phases of Matter

This lecture by the instructor from the University of Birmingham delves into the exploration of 4D topological phases of matter through quantum simulation. Topics covered include 2D and 3D quantum Hall effects, topological invariants, synthetic dimensions, and superfluid vortices in 4D. The lecture discusses approaches like topological pumping, circuit connectivity, and synthetic dimensions using examples from cold atoms and photonics. It also explores the potential future experiments in quantum simulation of 4D lattices and interactions. The presentation concludes with insights into the optical analogue of the 4D quantum Hall effect and the study of superfluid vortices in 4D.