The interplay of symmetry and topology in quantum many-body systems can lead to novel phases of matter, with applications in quantum memories and resources for quantum computing. While we understand the range of phenomena quite well in 2-d systems, there are many open questions for the 3-d case, in particular what kind of symmetries and topology can allow for thermal stability in 3-d models. I’ll present some of the results and open questions in this direction, using the 3-d toric code and the RBH models as examples.


Talk Number PIRSA:19110118
Speaker Profile Stephen Bartlett