PIRSA:13050044 Conference Quantum Information

DOI10.48660/13050044

Conference/School: Emergence & Entanglement II 2013

Schuch, N. (2013). Characterizing topological spin liquids using PEPS. Perimeter Institute. https://pirsa.org/13050044

Schuch, Norbert. Characterizing topological spin liquids using PEPS. Perimeter Institute, May. 09, 2013, https://pirsa.org/13050044 

@misc{ pirsa_PIRSA:13050044,
  doi = {10.48660/13050044},
  url = {https://pirsa.org/13050044},
  author = {Schuch, Norbert},
  keywords = {Quantum Information},
  language = {en},
  title = {Characterizing topological spin liquids using PEPS},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {may},
  note = {PIRSA:13050044 see, \url{https://pirsa.org}}
}

Abstract

Projected Entangled Pair States (PEPS) provide a local description of correlated many-body states. I will discuss how PEPS can be used to characterize topological spin liquids, in particular Resonating Valence Bond states. On the one hand, I will show how the symmetries in the local PEPS description allow to identify that these states appear as topologically degenerate ground states of local Hamiltonians.  On the other hand, I will discuss how from exact diagonalization of the transfer operator one can extract both the topological order and the spin liquid nature of the ground state.

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