Characterizing topological order form a microscopic lattice Hamiltonian
APA
Cincio, L. (2013). Characterizing topological order form a microscopic lattice Hamiltonian. Perimeter Institute. https://pirsa.org/13050042
MLA
Cincio, Lukasz. Characterizing topological order form a microscopic lattice Hamiltonian. Perimeter Institute, May. 09, 2013, https://pirsa.org/13050042
BibTex
@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}} }
Los Alamos National Laboratory
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Talk Type
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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.