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Symmetry reduction induced by anyon condensation: a tensor network approach
- Source :
- Phys. Rev. B 96, 155123 (2017)
- Publication Year :
- 2017
-
Abstract
- Topological ordered phases are related to changes in the properties of their quasi-particle excitations (anyons). We study these relations in the framework of projected entanglement pair states (\textsf{PEPS}) 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 (\textsf{MPS}). The case of $\mathbb{Z}_2$ on-site symmetry is studied in detail.<br />Comment: 21+5 pages, 15+3 figures. Introduction and conclusions enlarged, references and figure added, minor typos corrected, appendix about dyons added
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
Quantum Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 96, 155123 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1702.08759
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.96.155123