C*-Algebraic Quantum Mechanics and Topological Phases of Matter

Organizers

• Agnès Beaudry (CU Boulder, Mathematics)

• Michael Hermele (CU Boulder, Physics)

• Markus J. Pflaum (CU Boulder, Mathematics)

• Daniel D. Spiegel (UC Davis)

Description

This summer school explored new developments at the intersection of condensed matter physics, C*-algebraic quantum mechanics and algebraic topology.  Specifically, the goal was to explore how C*-algebras are used to study topological phases of matter in the thermodynamic limit, and how methods from topology and homotopy theory can be applied in this setting to study phases of quantum systems.

Materials

Some course notes are available in this folder.

Videos can be found here. 

The schedule is here.

Speakers

Mini-Courses

• Sven Bachmann, University of British Columbia

• Pieter Naaijkens, Cardiff University

• Robert Sims, University of Arizona

• Nikita Sopenko, Institute for Advanced Study, Princeton

• Daniel Spiegel, University of California, Davis

• Carolyn Zhang, Harvard University

Contributed Talks

• Leonardo Almeida Lessa, Perimeter Institute / University of Waterloo

• Adam Artymowicz, California Institute of Technology

• Peter Huston, Vanderbilt University

• Cameron Krulewski,  Massachusetts Institute of Technology

• Marvin Qi, University of Colorado Boulder

• Eric Roon, Michigan State University

• Severin Schraven, Technical University of Munich

• Christoph Setescak, Universität Regensburg

• Ryan Thorngren, University of California, Los Angeles

• Daniel Wallick, The Ohio State University

• Lei Gioia Yang, California Institute of Technology

Topics

The workshop will be structured around the following topics: 

1. Introduction to Algebraic Quantum Mechanics of Infinite Lattice Systems

2. Lieb–Robinson Bounds and Applications

3. Superselection Sectors, Anyons, and Braiding

4. Quantum Hall Effect and SPT Phases

Course notes

Some course notes are available in this folder.