2026-06-28T10:11:58Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/246872023-08-28T00:14:38Zcom_20.500.14352_14col_20.500.14352_15

00925njm 22002777a 4500 dc Fernández González, Carlos author Mong, R. S. K. author Pérez García, David author Schuch, Norbert author 2016 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˜. 10980121 10.1103/PhysRevB.94.155106 https://hdl.handle.net/20.500.14352/24687 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.155106 https://journals.aps.org/ Constructing topological models by symmetrization: A projected entangled pair states study