PIRSA:13050053

Defects in Topologically Ordered Quantum Matter

Barkeshli, M. (2013). Defects in Topologically Ordered Quantum Matter. Perimeter Institute. https://pirsa.org/13050053

Barkeshli, Maissam. Defects in Topologically Ordered Quantum Matter. Perimeter Institute, May. 10, 2013, https://pirsa.org/13050053 

          @misc{ pirsa_PIRSA:13050053,
            doi = {10.48660/13050053},
            url = {https://pirsa.org/13050053},
            author = {Barkeshli, Maissam},
            keywords = {Condensed Matter},
            language = {en},
            title = {Defects in Topologically Ordered Quantum Matter},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {may},
            note = {PIRSA:13050053 see, \url{https://pirsa.org}}
          }

Maissam Barkeshli University of California, Santa Barbara

Talk numberPIRSA:13050053
DOI10.48660/13050053
Collection
Talk Type Conference
Subject

Abstract

I will discuss recent advances in our understanding of extrinsic defects in topologically ordered states. These include line defects, where I will discuss recent developments in the classification of gapped boundaries between Abelian topological states, and various kinds of point defects, which host a rich set of topological physics. The extrinsic point defects provide a new way of realizing topologically protected ground state degeneracies, they carry projective non-abelian statistics even in an Abelian topological state and provide a new path towards universal topological quantum computation, they host a general class of topologically protected "parafermion" zero modes, and they provide an avenue towards distinguishing various symmetry-enriched topological phases. I will discuss several novel physical realizations of such point defects, and also a recent experimental proposal to realize such defects in conventional bilayer fractional quantum Hall systems.