Select All
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

Lukasz Cincio Los Alamos National Laboratory

Talk numberPIRSA:13050042
DOI10.48660/13050042
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.