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Fractal symmetries: Ungauging the cubic code

Autor(en)
Dominic J. Williamson
Abstrakt

Gauging is a ubiquitous tool in many-body physics. It allows one to construct highly entangled topological phases of matter from relatively simple phases and to relate certain characteristics of the two. Here we develop a gauging procedure for general submanifold symmetries of Pauli Hamiltonians, including symmetries of fractal type. We show a relation between the pre- and postgauging models and use this to construct short-range entangled phases with fractal-like symmetries, one of which is mapped to the cubic code by the gauging.

Organisation(en)
Quantenoptik, Quantennanophysik und Quanteninformation
Journal
Physical Review B
Band
94
Anzahl der Seiten
9
ISSN
1098-0121
DOI
https://doi.org/10.1103/PhysRevB.94.155128
Publikationsdatum
10-2016
Peer-reviewed
Ja
ÖFOS 2012
103024 Quantenfeldtheorie, 103029 Statistische Physik
Schlagwörter
ASJC Scopus Sachgebiete
Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/f2424b73-20ee-4484-b5ef-77d2e049eb8f