PIRSA:16120021

Capturing Topological and Symmetry Protected Physics with Entanglement and Tensor Networks

(2016). Capturing Topological and Symmetry Protected Physics with Entanglement and Tensor Networks. Perimeter Institute. https://pirsa.org/16120021

Capturing Topological and Symmetry Protected Physics with Entanglement and Tensor Networks. Perimeter Institute, Dec. 12, 2016, https://pirsa.org/16120021 

          @misc{ pirsa_PIRSA:16120021,
            doi = {10.48660/16120021},
            url = {https://pirsa.org/16120021},
            author = {},
            keywords = {Other},
            language = {en},
            title = {Capturing Topological and Symmetry Protected Physics with Entanglement and Tensor Networks},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {dec},
            note = {PIRSA:16120021 see, \url{https://pirsa.org}}
          }
DOI 10.48660/16120021
Collection
Talk Type Scientific Series
Subject

Abstract

In order to create ansatz wave functions for models that realize topological or symmetry protected topological phases, it is crucial to understand the entanglement properties of the ground state and how they can be incorporated into the structure of the wave function.

In this first part of this talk, I will discuss entanglement properties of models of topological crystalline insulators and spin liquids and show how to incorporate topological order, symmetry fractionalization, and lattice symmetry protected topological order into tensor network wave functions.

In the second part of this talk, I will discuss intrinsically fermionic topological phases and an exactly solvable model we built to elucidate the structure of the ground state wave functions in these phases.

 

References:

https://arxiv.org/abs/1507.00348

https://arxiv.org/abs/1605.06125