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Symmetry reduction induced by anyon condensation: a tensor network approach (José Garre Rubio)

  • Date: Apr 18, 2018
  • Time: 14:00 - 15:00
  • Speaker: José Garre Rubio
  • Department of Mathematics, Universidad Complutense de Madrid, Spain
  • Room: New Lecture Hall, Room B 0.32
  • Host: 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).


 
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