Topological matter and quantum gases

This lecture explores topological matter and its connection to quantum gases, focusing on topics such as topological bands in 2D, edge channels, periodic lattices, Berry curvature, and the Haldane model. The instructor discusses the link between energy band topology and Hall conductivity, the emergence of NNN couplings, and the exploration of topological bands using cold atoms. The lecture also covers the construction of topological bands models, the implementation with cold atoms, and the observation of edge channels. Additionally, it delves into the concept of synthetic dimensions and the evolution of topological features in a quench, highlighting recent experimental investigations and developments in dynamical gauge fields.