SPRING 2018 SCHEDULE
Burak Sahinoglu (CalTech)
Wednesday, 1:00 PM, March 28, Riddick 400P
Tensor networks and topological phases of quantum matter
In this talk, I first review the tensor network states which have successfully been applied to numerical and analytical study of quantum many-body states. In particular we will see how to rephrase common notions such as path integrals, low energy states, etc. in terms of tensor networks. I will then apply this framework to characterize and classify gapped phases of matter in 1+1, 2+1, and higher dimensions. The results get weaker as the space dimension goes higher, hence there's a lot of open questions to which I'll give a glimpse at the end of the talk. The talk requires no prior knowledge beyond quantum physics of many-body systems.