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Symmetry reduction induced by anyon condensation: A tensor network approach

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Garre Rubio, J. and Iblisdir, S. and Pérez García, David (2017) Symmetry reduction induced by anyon condensation: A tensor network approach. Physical Review B, 96 (15). pp. 155123-1. ISSN 0163-1829

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Official URL: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.155123


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Abstract

Topological ordered phases are related to changes in the properties of their quasiparticle excitations (anyons). We study these relations in the framework of projected entanglement pair states and show how condensing and confining anyons reduces a local gauge symmetry to a global on-site symmetry. We also study the action of this global symmetry over the quasiparticle excitations. As a byproduct, we observe that this symmetry reduction effect can be applied to one-dimensional systems as well and brings about appealing physical interpretations on the classification of phases with symmetries using matrix product states. The case of Z(2) on-site symmetry is studied in detail.


Item Type:Article
Uncontrolled Keywords:State; Representations
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:45503
Deposited On:27 Nov 2017 10:16
Last Modified:11 Dec 2017 13:03

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