PIRSA:16120030

Entanglement negativity in topologically ordered phases

Wen, X. (2016). Entanglement negativity in topologically ordered phases. Perimeter Institute. https://pirsa.org/16120030

Wen, Xueda. Entanglement negativity in topologically ordered phases. Perimeter Institute, Dec. 13, 2016, https://pirsa.org/16120030 

          @misc{ pirsa_PIRSA:16120030,
            doi = {10.48660/16120030},
            url = {https://pirsa.org/16120030},
            author = {Wen, Xueda},
            keywords = {Condensed Matter},
            language = {en},
            title = {Entanglement negativity in topologically ordered phases},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {dec},
            note = {PIRSA:16120030 see, \url{https://pirsa.org}}
          }

Xueda Wen University of Illinois Urbana-Champaign

DOI 10.48660/16120030
Collection
Talk Type Scientific Series
Subject

Abstract

Unlike entanglement entropy and mutual information which may mix both classical and quantum correlations, entanglement negativity received extensive interest recently, for its merit of measuring the pure quantum entanglement in the system. In this talk, I will introduce the entanglement negativity in 2+1 dimensional topologically ordered phases. For a bipartitioned or tripartitioned spatial manifold, we show how the universal part of entanglement negativity depends on the presence of quasiparticles and the choice of ground states. Besides interpreting recent results in exactly solvable lattice models, we give new results on non-Abelian topologically ordered phases.