Chiral projected entangled-pair state with topological order

ORAL

Abstract

We show that projected entangled-pair states (PEPS) can describe chiral topologically ordered phases. For that, we construct a simple PEPS for spin-1/2 particles in a two-dimensional lattice. We reveal a symmetry in the local projector of the PEPS that gives rise to the global topological character. We also extract characteristic quantities of the edge conformal field theory using the bulk-boundary correspondence.

Authors

  • Shuo Yang

    Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada

  • Thorsten Wahl

    Max-Planck Institute for Quantum Optics, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany

  • Hong-Hao Tu

    Max-Planck Institute for Quantum Optics, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany

  • Norbert Schuch

    JARA Institute for Quantum Information, RWTH Aachen University, D-52056 Aachen, Germany

  • J. Ignacio Cirac

    Max-Planck Institute for Quantum Optics, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany