PIRSA:13050053 Conference Condensed Matter

DOI10.48660/13050053

Conference/School: Emergence & Entanglement II 2013

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}}
}

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.

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