RT Journal Article
T1 Symmetry reduction induced by anyon condensation: A tensor network approach
A1 Garre Rubio, José
A1 Iblisdir, Sofyan
A1 Pérez García, David
AB 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.
PB American Physical Society
SN 0163-1829
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/18248
UL https://hdl.handle.net/20.500.14352/18248
LA eng
NO 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.
NO Unión Europea
NO Ministerio de Economía, Comercio y Empresa (España)
NO Comunidad de Madrid
NO John Templeton Foundation
NO Instituto de Ciencias Matemáticas - Proyecto Severo Ochoa
DS Docta Complutense
RD 3 abr 2025