Speaker
Description
The Berry phase is a fundamental topological invariant associated with parameterized families of quantum mechanical systems. It has played a central role in the classification of topological phases, particularly in free fermion and other non-interacting systems. The higher Berry phase can be regarded as a many-body generalization of this idea, designed to capture topological information that is not accessible through the conventional Berry phase alone.
In this talk, I will give an overview of higher Berry phases in 1+1-dimensional quantum systems. I will discuss two concrete approaches to their formulation: one based on tensor-network descriptions of many-body states, and another based on Cardy states in conformal field theory. Through these perspectives, I will explain how higher Berry phases provide a useful framework for understanding topological structures in interacting quantum systems.