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Constructing topological models by symmetrization: A projected entangled pair states study

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Fernández González, Carlos and Mong, R. S. K. and Pérez García, David and Schuch, Norbert (2016) Constructing topological models by symmetrization: A projected entangled pair states study. Physical Review B - Condensed Matter and Materials Physics, 94 (15). p. 155106. ISSN 10980121

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Official URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.155106


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Abstract

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˜.


Item Type:Article
Subjects:Sciences > Physics
ID Code:39893
Deposited On:05 Nov 2016 16:53
Last Modified:08 Nov 2016 09:27

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