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Garre Rubio, José Iblisdir, Sofyan Pérez García, David 2023-06-17T22:13:50Z 2023-06-17T22:13:50Z 2017 Garre Rubio, J., Iblisdir, S. & Pérez García, D. «Symmetry Reduction Induced by Anyon Condensation: A Tensor Network Approach». Physical Review B, vol. 96, n.o 15, octubre de 2017, p. 155123. DOI.org (Crossref), https://doi.org/10.1103/PhysRevB.96.155123. 0163-1829 10.1103/PhysRevB.96.155123 https://hdl.handle.net/20.500.14352/18248 https//doi.org/10.1103/PhysRevB.96.155123 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.96.155123 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. eng restricted access Symmetry reduction induced by anyon condensation: A tensor network approach journal article