Topological matter and its exploration

This lecture delves into the exploration of topological matter using quantum gases. It covers topics such as the SSH model, the Rice-Mele model, and the adiabatic pump. The instructor discusses the winding of eigenstates on the Bloch sphere, the quantization of transport in a pump cycle, and the measurement of Berry curvature in 2D optical lattices. The Chern number, Hall conductance, and the role of Berry curvature in characterizing the topology of energy bands are also explained.