Work

Anomalies and entanglement renormalization

Year: 2017

Type: article

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.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.96.125104

Authors: Jacob C. Bridgeman, Dominic J. Williamson

Institutions: The University of Sydney, University of Vienna, Vienna Center for Quantum Science and Technology

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: University of Sydney, Institut Périmètre de physique théorique, Australian Research Council

Award: G3348498264