PIRSA:13050042

Characterizing topological order form a microscopic lattice Hamiltonian

Cincio, L. (2013). Characterizing topological order form a microscopic lattice Hamiltonian. Perimeter Institute. https://pirsa.org/13050042

Cincio, Lukasz. Characterizing topological order form a microscopic lattice Hamiltonian. Perimeter Institute, May. 09, 2013, https://pirsa.org/13050042 

          @misc{ pirsa_PIRSA:13050042,
            doi = {10.48660/13050042},
            url = {https://pirsa.org/13050042},
            author = {Cincio, Lukasz},
            keywords = {Quantum Information, Condensed Matter},
            language = {en},
            title = {Characterizing topological order form a microscopic lattice Hamiltonian},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {may},
            note = {PIRSA:13050042 see, \url{https://pirsa.org}}
          }

Lukasz Cincio Los Alamos National Laboratory

DOI 10.48660/13050042
Collection
Talk Type Conference
Subject

Abstract

In this talk I will show how to obtain a detailed characterization of the emergent topological order starting from microscopic Hamiltonian on a two dimensional lattice. A key step is to obtain a tensor network representation for a complete set of ground states of the Hamiltonian, first on an infinite cylinder and then on a finite torus. As an application of the method I will study lattice Hamiltonians that give rise to selected anyon models, namely chiral semion, Ising as well as Z_3 and Z_5 models.