PIRSA:13050044

Characterizing topological spin liquids using PEPS

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}}
          }

Norbert Schuch Max Planck Institute for Gravitational Physics - Albert Einstein Institute (AEI)

DOI 10.48660/13050044
Collection
Talk Type Conference
Subject

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.