PIRSA:17100064

Anomalies and entanglement renormalization

Bridgeman, J. (2017). Anomalies and entanglement renormalization. Perimeter Institute. https://pirsa.org/17100064

Bridgeman, Jacob. Anomalies and entanglement renormalization. Perimeter Institute, Oct. 24, 2017, https://pirsa.org/17100064 

          @misc{ pirsa_PIRSA:17100064,
            doi = {10.48660/17100064},
            url = {https://pirsa.org/17100064},
            author = {Bridgeman, Jacob},
            keywords = {Condensed Matter, Quantum Information},
            language = {en},
            title = {Anomalies and entanglement renormalization},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {oct},
            note = {PIRSA:17100064 see, \url{https://pirsa.org}}
          }

Jacob Bridgeman

Research Foundation - Flanders

Talk number
PIRSA:17100064
Collection
Talk Type
Subject
Abstract

We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice. Using matrix product operators, general topological restrictions on conformal data are derived. An ansatz class allowing for optimization of MERA with an anomalous symmetry is introduced. We utilize this class to numerically study a family of Hamiltonians with a symmetric critical line. Conformal data is obtained for all irreducible projective representations of each anomalous symmetry twist, corresponding to definite topological sectors. It is numerically demonstrated that this line is a protected gapless phase. Finally, we implement a duality transformation between a pair of critical lines using our subclass of MERA.

 

arXiv:1703.07782