Anomalies and entanglement renormalization

Autor(en)

Jacob C. Bridgeman, Dominic J. Williamson

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

The University of Sydney, Vienna Center for Quantum Science and Technology (VCQ)

Journal

Physical Review B

Band

96

Anzahl der Seiten

26

ISSN

2469-9950

DOI

https://doi.org/10.1103/PhysRevB.96.125104

Publikationsdatum

09-2017

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik, 103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Electronic, Optical and Magnetic Materials, Condensed Matter Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d3a27549-81e8-4c87-9514-3e281bda6c89