PIRSA:12070012

Symmetry Protected Topological Phases; from Quantum Entanglement to Interaction Effects

APA

Vishwanath, A. (2012). Symmetry Protected Topological Phases; from Quantum Entanglement to Interaction Effects. Perimeter Institute. https://pirsa.org/12070012

MLA

Vishwanath, Ashvin. Symmetry Protected Topological Phases; from Quantum Entanglement to Interaction Effects. Perimeter Institute, Jul. 27, 2012, https://pirsa.org/12070012

BibTex

          @misc{ pirsa_12070012,
            doi = {10.48660/12070012},
            url = {https://pirsa.org/12070012},
            author = {Vishwanath, Ashvin},
            keywords = {Condensed Matter},
            language = {en},
            title = {Symmetry Protected Topological Phases; from Quantum Entanglement to Interaction Effects},
            publisher = {Perimeter Institute},
            year = {2012},
            month = {jul},
            note = {PIRSA:12070012 see, \url{https://pirsa.org}}
          }
          

Ashvin Vishwanath Harvard University

Collection
Talk Type Scientific Series

Abstract

I will briefly review topological phases of non interacting fermions, such as topological insulators, and discuss how ideas from quantum information, in particular the entanglement spectrum, can be used to characterize them. For topological phases protected by inversion symmetry I argue that this is the ideal tool, and discuss how it leads to a classification of 3D topological phases. Next, I will discuss topological phases that only appear in the presence of interactions, although they share essential characteristics with non-interacting topological phases. A general theory of such states of bosons in 2+1 dimensions will be given, and specific examples, the bosonic analogs of topological superconductors and insulators, will be discussed.