Symmetry reduction induced by anyon condensation: a tensor network approach (José Garre Rubio)
Apr 18, 2018
14:00 - 15:00
José Garre Rubio
Department of Mathematics, Universidad Complutense de Madrid, Spain
New Lecture Hall, Room B 0.32
MPQ, Theory Division
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 (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 (MPS). Joint work with D. Pérez-García and S. Iblisdir (ArXiv:1702.08759).