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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