University of Saskatchewan: The quanTA CRG Seminar

  • Date: 12/09/2020
  • Time: 12:30
Anton Kapustin, Caltech



The topology and geometry of the space of gapped lattice systems [video]


Recently there has been a lot of progress in classifying phases of gapped quantum many-body systems. From the mathematical viewpoint, a phase of a quantum system is a connected component of the “space” of gapped quantum systems, and it is natural to study the topology of this space. I will explain how to probe it using generalizations of the Berry curvature. I will focus on the case of lattice systems where all constructions can be made rigorous. Coarse geometry plays an important role in these constructions.

Other Information: 

This event took place via zoom, and a recording is available on