RT Journal Article
T1 Constructing topological models by symmetrization: A projected entangled pair states study
A1 Fernández González, Carlos
A1 Mong, R. S. K.
A1 Pérez García, David
A1 Schuch, Norbert
AB Symmetrization of topologically ordered wave functions is a powerful method for constructing new topological models. Here we study wave functions obtained by symmetrizing quantum double models of a group G in the projected entangled pair states (PEPS) formalism. We show that symmetrization naturally gives rise to a larger symmetry group G˜ which is always non-Abelian. We prove that by symmetrizing on sufficiently large blocks, one can always construct wave functions in the same phase as the double model of G˜. In order to understand the effect of symmetrization on smaller patches, we carry out numerical studies for the toric code model, where we find strong evidence that symmetrizing on individual spins gives rise to a critical model which is at the phase transitions of two inequivalent toric codes, obtained by anyon condensation from the double model of G˜.
PB American Physical Society
SN 10980121
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24687
UL https://hdl.handle.net/20.500.14352/24687
LA eng
NO Unión Europea. H2020
NO Ministerio de Economía y Competitividad (MINECO)
NO Comunidad de Madrid
NO Universidad Nacional de Educacion a Distancia (UNED)
NO Fonds de Recherche Quebec—Nature et Technologies
NO the Natural Sciences and Engineering Research Council of Canada (NSERC).
NO European Research Council (ERC)
NO Jülich-Aachen Research Alliance (JARA)
DS Docta Complutense
RD 28 abr 2024